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(Comparative) study (in structure/mode/ways of pronunciation, articulation, phonetics, or whatever; that is, in differences of speaking mouth postures and resultant speaking weight/force center points) between English/foreign languages and mother tongue, for better (more practical/effective/smooth) hearing/speaking of English/foreign languages.       Copyright.   Young-Won Kim,   yw@voicespec.com
open : home | brd2 | Kor | book | FUN member : main II | Kor II


::: Comparative phonetics, main :::


596 12 View counter   Join Member Login Admin
Name   Young-Won Kim
Subject   Hero/Vitruvius Apollonius/Diophantus/Theon,       d'Aguilon, 'John Aubrey', 'François Viète', Oughtred/Pascal
'Al-Jazari', Theon of Alexandria
"François d'Aguilon", André Tacquet, John Wallis, 'William Oughtred', 'Blaise Pascal'


*        While taking Korea/경기-도 [gyΛŋ  gi  do/province]/개성-시 [gæ  sΛŋ  si/city] (dialect) speaking posture (as coarticulation posture);   if articulating (or trying to speak) "Buddha" or "석가모니 [sΛg  ga  mo  ni]"   (or Siddhārtha Gautama, Siddhattha Gotama   or   Kassapa Buddha    or   revolutionary, pioneer, innovator, groundbreaker, or mastermind)  or  "Washington"  from Japanese /S speaking posture,     "Hero [He  ro]/+bp"  or  "Apollonius [ŋA  po  l=  lo  ni  ŋu  s=]/+cp"  or  "Diophantus [Di  ŋo  p=  ha  n=  tu  s=]/+bp/Ch"  or  "Archimedes [ŋA  r=  c=  hi  me  de  s=]/+bp/Ch"  is metaphthong/MPh pronounced.



Hero of Alexandria
http://encyclopedia.thefreedictionary.com/Hero+of+Alexandria ,  

>>         Heron, Hero, Hero (Heron of Alexandria

*           Hero  >>  Heron /T  >>  "Hero of Alexandria" /C2  >>  "Heron of Alexandria" /C2/Ch

>>         (c. 10–70 AD)

"c. 10"                                         (H/P + ero/S)                                   Hero
"70"                                           (H/T + ero/S)                                   Hero

>>       Inventions and achievements

aeolipile                        (H/GC/S/abT + "-ero's work"/C2)                      "Hero's work"

*                   aeolipile  >>  ("Hero's engine" /S)/P

•    Hero described construction of the aeolipile (a version of which is known as Hero's engine) which was a rocket-like reaction engine and the first-recorded steam engine (although Vitruvius mentioned the aeolipile in De Architectura some 100 years earlier than Hero).

Vitruvius                      (H/S + "-ero of Alexandria"/P)                   "Hero of Alexandria"
http://encyclopedia.thefreedictionary.com/Vitruvius ,  

"Al-Jazari"                      (H/S + "-ero of Alexandria"/T)                   "Hero of Alexandria"
http://encyclopedia.thefreedictionary.com/Al-Jazari ,    

•    The first vending machine

"vending machine"                    (H/S + "-ero's work"/GC/S/abT)                  "Hero's work"

•    A windwheel operating an organ,

windwheel                          (H/P + "-ero's work"/S)                           "Hero's work"
organ                           (H/P + "-ero's work"/S)/Ch                           "Hero's work"


>>     Works known to be written by Hero:
•    Pneumatica, a description of machines working on air, steam or water pressure, including the hydraulis or water organ.[15]
•    Automata, a description of machines which enable wonders in temples by mechanical or pneumatical means (e.g. automatic opening or closing of temple doors, statues that pour wine, etc.). See Automaton.
•    Mechanica, preserved only in Arabic, written for architects, containing means to lift heavy objects.
•    Metrica, a description of how to calculate surfaces and volumes of diverse objects.

Pneumatica                       (H/P + "-ero's work"/T)/+bp                        "Hero's work"
Automata                         (H/P + "-ero's work"/T)/+cp                        "Hero's work"
Mechanica                        (H/P + "-ero's work"/T)/Ch/+bp                    "Hero's work"
Metrica                           (H/P + "-ero's work"/T)/Ch/+bp                    "Hero's work"

•    On the Dioptra, a collection of methods to measure lengths. In this work the odometer and the dioptra, an apparatus which resembles the theodolite, are described.
•    Belopoeica, a description of war machines.
•    Catoptrica, about the progression of light, reflection and the use of mirrors.

Works which have sometimes been attributed to Hero, but are now thought to have most likely been written by someone else:[16]
•    Geometria, a collection of equations based on the first chapter of Metrica.

"On Dioptra"                      (H/P + "-ero's work"/C1)/+bp                       "Hero's work"
Belopoeica                        (H/P + "-ero's work"/C2)/+cp                       "Hero's work"
Catoptrica                       (H/P + "-ero's work"/C1)/Ch/+bp                    "Hero's work"
Geometria                       (H/P + "-ero's work"/C1)/Ch/+cp                    "Hero's work"

•    Stereometrica, examples of three dimensional calculations based on the second chapter of Metrica.
•    Mensurae, tools which can be used to conduct measurements based on Stereometrica and Metrica.
•    Cheirobalistra, about catapults.
•    Definitiones, containing definitions of terms for geometry.

Stereometrica                     (H/T + "-ero's work"/S)/+bp                       "Hero's work"
Mensurae                          (H/T + "-ero's work"/S)/+cp                       "Hero's work"
Cheirobalistra                    (H/T + "-ero's work"/S)/Ch/+bp                     "Hero's work"
Definitiones                      (H/T + "-ero's work"/S)/Ch/+cp                     "Hero's work"

Works which are preserved only in fragments:
•    Geodesia
•    Geoponica

Geodesia                      (H/GC/S/abT + "-ero's work"/P)                       "Hero's work"
Geoponica                     (H/GC/S/abT + "-ero's work"/P)/Ch                   "Hero's work"



Vitruvius
http://encyclopedia.thefreedictionary.com/Vitruvius ,  

Vitruvius                      (H/S + "-ero of Alexandria"/P)                   "Hero of Alexandria"

*           Vitruvius  >>  "Marcus Vitruvius Pollio" /C2

>>      (born c. 80–70 BC, died after c. 15 BC)

"born c. BC 80"                         (V//GC/S/abT + itruvius/P)                         Vitruvius
"born c. BC 70"                         (V/GC/S/abT + itruvius/T)                         Vitruvius

"died after c. BC 15"                     (V/GC/S/abT + itruvius/C2)                       Vitruvius


>>         author of the multi-volume work De Architectura ("On Architecture").

"De Architectura"                  (V/T + "-itruvius' writing"/C1)                  "Vitruvius' writing"

"De Architectura"                  (P/T + "-arallel Lives"/C1)                  "Parallel Lives"



>>     Phonetic correspondence   between  Vitruvius' "De Architectura"    and  Plutarch's "Parallel Lives"

"De Architectura"                  (V/T + "-itruvius' writing"/C1)                  "Vitruvius' writing"

"De Architectura"                  (P/T + "-arallel Lives"/C1)                  "Parallel Lives"


http://penelope.uchicago.edu/Thayer/E/Roman/Texts/Vitruvius/home.html ,    
http://penelope.uchicago.edu/Thayer/E/Roman/Texts/Vitruvius/1*.html ,  

Marcus Vitruvius Pollio:
de Architectura, Book I
Preface
1. Whilst, O Cæsar, your god-like mind and genius were engaged in acquiring the dominion of the world, your enemies having been all subdued by your unconquerable valour; whilst the citizens were extolling your victories, and the conquered nations were awaiting your nod; whilst the Roman senate and people, freed from alarm, were enjoying the benefit of your opinions and counsel for their governance; I did not presume, at so unfit a period, to trouble you, thus engaged, with my writings on Architecture, lest I should have incurred your displeasure.

2. When, however, I found that your attention, not exclusively devoted to state affairs, was bestowed on the state of the public buildings, so that the republic was not more indebted to you for its extended empire, in the addition of so many provinces, than for your numerous public buildings by which its grandeur is amply manifested, I considered it right that no time should be lost in laying these precepts before you. My reverence for the memory of your virtuous father, to whom I was well known, and from whom, now a participator in council with the gods, the empire descended to you, has been the cause of your good will towards me. Hence, together with M. Aurelius,a P. Numisius, and Cn. Cornelius, I have been appointed to, and receive the emoluments arising from the care of, the various engines of war which you assigned to me on the recommendation of your sister.

3. As, through your kindness, I have been thus placed beyond the reach of poverty, I think it right to address this treatise to you; and I feel the more induced to do so from your having built, and being still engaged in the erection of, many edifices. It is proper to deliver down to posterity, as a memorial, some account of these your magnificent works. I have therefore given such definite directions for the conduct of works, that those already executed, as well as those hereafter to be constructed, may be by you well known and understood. In the following pages I have developed all the principles of the art.

Chapter 1
1. Architecture is a science arising out of many other sciences, and adorned with much and varied learning; ~ ~


http://ebooks.adelaide.edu.au/p/plutarch/ ,    
http://ebooks.adelaide.edu.au/p/plutarch/lives/ ,    
http://ebooks.adelaide.edu.au/p/plutarch/lives/chapter1.html ,    

Theseus
As geographers, Sosius, crowd into the edges of their maps parts of the world which they do not know about, adding notes in the margin to the effect, that beyond this lies nothing but sandy deserts full of wild beasts, unapproachable bogs, Scythian ice, or a frozen sea, so, in this work of mine, in which I have compared the lives of the greatest men with one another, after passing through those periods which probable reasoning can reach to and real history find a footing in, I might very well say of those that are farther off, Beyond this there is nothing but prodigies and fictions, the only inhabitants are the poets and inventors of fables; there is no credit, or certainty any farther. Yet, after publishing an account of Lycurgus the lawgiver and Numa the king, I thought I might, not without reason, ascend as high as to Romulus, being brought by my history so near to his time.

Considering therefore with myself

Whom shall I set so great a man to face?
Or whom oppose? who’s equal to the place?

(as Aeschylus expresses it), I found none so fit as him that peopled the beautiful and far-famed city of Athens, to be set in opposition with the father of the invincible and renowned city of Rome. Let us hope that Fable may, in what shall follow, so submit to the purifying processes of Reason as to take the character of exact history. In any case, however, where it shall be found contumaciously slighting credibility, and refusing to be reduced to anything like probable fact, we shall beg that we may meet with candid readers, and such as will receive with indulgence the stories of antiquity.

Theseus seemed to me to resemble Romulus in many particulars. Both of them, born out of wedlock and of uncertain parentage, had the repute of being sprung from the gods.

Both warriors; that by all the world’s allowed.

Both of them united with strength of body an equal vigor mind; and of the two most famous cities of the world the one built Rome, and the other made Athens be inhabited. Both stand charged with the rape of women; neither of them could avoid domestic misfortunes nor jealousy at home; but towards the close of their lives are both of them said to have incurred great odium with their countrymen, if, that is, we may take the stories least like poetry as our guide to the truth.

The lineage of Theseus, by his father’s side, ascends as high as to Erechtheus and the first inhabitants of Attica. By his mother’s side he was descended of Pelops. ~ ~


"De Architectura"                    (P/T + "-arallel Lives"/C1)                     "Parallel Lives"

1.
Preface                                 (Th/T + eseus/C1)                                Theseus

"Book I/One"                          (Th/T + eseus/C1)/Ch                             Theseus

2.
Whilst                    ([ŋ=  w=]/T + "As geographers"/C1)                  "As geographers"

1/One                  ([ŋ=  w=]/T + "As geographers"/C1)/Ch                "As geographers"

3.
"O Cæsar"                              (S/T + osius/C1)                                  Sosius

4. crowd into the edges of their maps parts of the world which they do not know about --- your god-like mind and genius were engaged in acquiring the dominion of the world

"your god-like mind and genius were engaged in acquiring dominion of world"                  (cr/T + "-owd into edges of their maps parts of world which they do not know about"/C1)                 "crowd into edges of their maps parts of world which they do not know about"

5.                  adding notes in the margin to the effect

"your enemies having been all subdued by your unconquerable valour"                  ([ŋ=  w=]/T + "adding notes in margin to effect"/C1)                 "adding notes in margin to effect"

6.                  whilst the citizens were extolling your victories

"whilst citizens were extolling your victories"                  (th/T + "-at beyond this lies nothing but sandy deserts full of wild beasts"/C1)                 "that beyond this lies nothing but sandy deserts full of wild beasts"

7.                  and the conquered nations were awaiting your nod

"and conquered nations were awaiting your nod"                  ([ŋ=  w=]/T + "unapproachable bogs"/C1)                 "unapproachable bogs"

8.                  whilst the Roman senate and people

"whilst Roman senate and people"                  (Scyth/T + "-ian ice"/C1)                 "Scythian ice"

9.                  or a frozen sea

"freed from alarm"                  ([ŋ=  w=]/T + "or frozen sea"/C1)                 "or a frozen sea"

10.              were enjoying the benefit of your opinions and counsel for their governance

"were enjoying benefit of your opinions and counsel for their governance"                  (s/T + o/C1)                  so

11.
"I did not presume"                  ([ŋ=  y=]/T + "in this work of mine"/C1)                 "in this work of mine"

12. in which I have compared the lives of the greatest men with one another --- at so unfit a period

"at so unfit period"                  ([ŋ=  y=]/T + "in which I have compared lives of greatest men with one another"/C1)                 "in which I have compared lives of greatest men with one another"

13. after passing through those periods which probable reasoning can reach to and real history find a footing in

"to trouble you"                  ([ŋ=  w=]/T + "after passing through those periods which probable reasoning can reach to and real history find footing in"/C1)                 "after passing through those periods which probable reasoning can reach to and real history find footing in"

14.
"thus engaged"                  ([ŋ=  y=]/T + "I might very well say of those that are farther off"/C1)                 "I might very well say of those that are farther off"

15.
"with my writings on Architecture"                  (B/T + "-eyond this there is nothing but prodigies and fictions"/C1)                 "Beyond this there is nothing but prodigies and fictions"

16.              the only inhabitants are the poets and inventors of fables

"lest I should have incurred your displeasure"                  ([ŋ=  w=]/T + "only inhabitants are poets and inventors of fables"/C1)                 "only inhabitants are poets and inventors of fables"

17.
When                        (th/T + "-ere is no credit"/C1)                      "there is no credit"

2/Two                      (th/T + "-ere is no credit"/C1)/Ch                    "there is no credit"

18.
however                  ([ŋ=  w=]/T + "or certainty any farther"/C1)                 "or certainty any farther"

19.
"I found that your attention"                            (Y/T + et/C1)                           Yet

20.            after publishing an account of Lycurgus the lawgiver and Numa the king

"not exclusively devoted to state affairs"                  ([ŋ=  w=]/T + "after publishing account of Lycurgus lawgiver and Numa king"/C1)                 "after publishing account of Lycurgus lawgiver and Numa king"

21.                was bestowed on the state of the public buildings

"was bestowed on state of public buildings"                  ([ŋ=  y=]/T + "I thought I might"/C1)                 "I thought I might"

22.               so that the republic was not more indebted to you for its extended empire

"so that republic was not more indebted to you for its extended empire"                  (n/T + "-ot without reason"/C1)                 "not without reason"

23.                 in the addition of so many provinces

"in addition of so many provinces"                  ([ŋ=  w=]/T + "ascend as high as to Romulus"/C1)                 "ascend as high as to Romulus"

24.
"than for your numerous public buildings by which its grandeur is amply manifested"                   (b/T + "-eing brought by my history so near to his time"/C1)                 "being brought by my history so near to his time"

25.
"I considered it right that no time should be lost in laying these precepts before you"                  (C/T + "-onsidering therefore with myself"/C1)                 "Considering therefore with myself"

26.   Whom shall I set so great a man to face --- My reverence for the memory of your virtuous father

"My reverence for memory of your virtuous father"                  (Wh/T + "-om shall I set so great man to face"/C1)                 "Whom shall I set so great man to face"

27.
"to whom I was well known"                  ([ŋ=  w=]/T + "Or whom oppose"/C1)                 "Or whom oppose"

28.                       who’s equal to the place

"and from whom"                  (wh/T + "-o’s equal to place"/C1)                 "who’s equal to place"

29.                     now a participator in council with the gods

"now participator in council with gods"                  ([ŋ=  w=]/T + "as Aeschylus expresses it"/C1)                 "as Aeschylus expresses it"

30. I found none so fit as him that peopled the beautiful and far-famed city of Athens --- the empire descended to you

"empire descended to you"                  ([ŋ=  w=]/T + "I found none so fit as him that peopled beautiful and far-famed city of Athens"/C1)                 "I found none so fit as him that peopled beautiful and far-famed city of Athens"

31. to be set in opposition with the father of the invincible and renowned city of Rome --- has been the cause of your good will towards me

"has been cause of your good will towards me"                  (t/T + "-o be set in opposition with father of invincible and renowned city of Rome"/C1)                 "to be set in opposition with father of invincible and renowned city of Rome"

32.
Hence                  (L/T + "-et us hope that Fable may"/C1)                 "Let us hope that Fable may"

33.
"together with M"                  ([ŋ=  y=]/T + "in what shall follow"/C1)                 "in what shall follow"

34.      so submit to the purifying processes of Reason as to take the character of exact history

Aurelius                  (s/T + "-o submit to purifying processes of Reason as to take character of exact history"/C1)                 "so submit to purifying processes of Reason as to take character of exact history"

35.
"a P"                            ([ŋ=  y=]/T + "In any case"/C1)                      "In any case"

36.
Numisius                               (h/T + owever/C1)                                  however

37.
"and Cn"                  (wh/T + "-ere it shall be found contumaciously slighting credibility"/C1)                 "where it shall be found contumaciously slighting credibility"

38.
Cornelius                  ([ŋ=  w=]/T + "and refusing to be reduced to anything like probable fact"/C1)                 "and refusing to be reduced to anything like probable fact"

39.
"I have been appointed to"                  (w/T + "-e shall beg that we may meet with candid readers"/C1)                 "we shall beg that we may meet with candid readers"

40. and such as will receive with indulgence the stories of antiquity --- and receive the emoluments arising from the care of

"and receive emoluments arising from care of"                  ([ŋ=  w=]/T + "and such as will receive with indulgence stories of antiquity"/C1)                 "and such as will receive with indulgence stories of antiquity"

41.      the various engines of war which you assigned to me on the recommendation of your sister

"various engines of war which you assigned to me on recommendation of your sister"                  (Th/T + "-eseus seemed to me to resemble Romulus in many particulars"/C1)                 "Theseus seemed to me to resemble Romulus in many particulars"

42.
As                               (B/T + "-oth of them"/C1)                           "Both of them"

"3/Three"                         (B/T + "-oth of them"/C1)/Ch                      "Both of them"

43.
"through your kindness"                  (b/T + "-orn out of wedlock and of uncertain parentage"/C1)                 "born out of wedlock and of uncertain parentage"

44. had the repute of being sprung from the gods --- I have been thus placed beyond the reach of poverty

"I have been thus placed beyond reach of poverty"                  (h/T + "-ad repute of being sprung from gods"/C1)                 "had repute of being sprung from gods"

45.
"I think it right to address this treatise to you"                  (B/T + "-oth warriors"/C1)                 "Both warriors"

46.        that by all the world’s allowed --- and I feel the more induced to do so from your having built

"and I feel more induced to do so from your having built"                  (th/T + "-at by all world’s allowed"/C1)                 "that by all world’s allowed"

47. Both of them united with strength of body an equal vigor mind --- and being still engaged in the erection of

"and being still engaged in erection of"                  (B/T + "-oth of them united with strength of body equal vigor mind"/C1)                 "Both of them united with strength of body equal vigor mind"

48.             and of the two most famous cities of the world the one built Rome

"many edifices"                  ([ŋ=  w=]/T + "and of two most famous cities of world one built Rome"/C1)                 "and of two most famous cities of world one built Rome"

49.                and the other made Athens be inhabited

"It is proper to deliver down to posterity"                  ([ŋ=  w=]/T + "and other made Athens be inhabited"/C1)                 "and other made Athens be inhabited"

50.                Both stand charged with the rape of women --- as a memorial

"as memorial"                  (B/T + "-oth stand charged with rape of women"/C1)                 "Both stand charged with rape of women"

51.
"some account of these your magnificent works"                  (n/T + "-either of them could avoid domestic misfortunes nor jealousy at home"/C1)                 "neither of them could avoid domestic misfortunes nor jealousy at home"

52. but towards the close of their lives are both of them said to have incurred great odium with their countrymen --- I have therefore given such definite directions for the conduct of works

"I have therefore given such definite directions for conduct of works"                  (b/T + "-ut towards close of their lives are both of them said to have incurred great odium with their countrymen"/C1)                 "but towards close of their lives are both of them said to have incurred great odium with their countrymen"

53.
"that those already executed"                        ([ŋ=  y=]/T + if/C1)                       if

54.
"as well as those hereafter to be constructed"                  (th/T + "-at is"/C1)                 "that is"

55.             we may take stories least like poetry as our guide to truth

"may be by you well known and understood"                  (w/T + "-e may take stories least like poetry as our guide to truth"/C1)                 "we may take stories least like poetry as our guide to the truth"

56.     The lineage of Theseus --- In the following pages I have developed all the principles of the art

"In following pages I have developed all principles of art"                  (l/T + "-ineage of Theseus"/C1)                 "lineage of Theseus"

57.
"Chapter 1"                  ("by h"/T + "-is father’s side"/C1)                 "by his father’s side"

58. ascends as high as to Erechtheus and the first inhabitants of Attica --- Architecture is a science arising out of many other sciences

"Architecture is science arising out of many other sciences"                  ([ŋ=  w=]/T + "-ascends as high as to Erechtheus and first inhabitants of Attica"/C1)                 "ascends as high as to Erechtheus and first inhabitants of Attica"

"1/One"                  ([ŋ=  w=]/T + "-ascends as high as to Erechtheus and first inhabitants of Attica"/C1)/Ch                 "ascends as high as to Erechtheus and first inhabitants of Attica"

59.
"and adorned with much and varied learning"                  ("By h"/T + "-is mother’s side he was descended of Pelops"/C1)                 "By his mother’s side he was descended of Pelops"



>>   (So irregular)  Phonetic correspondence   between  Vitruvius' "De Architectura,  English"    and    Vitruvius' "De Architectura,  Latin"

http://penelope.uchicago.edu/Thayer/L/Roman/Texts/Vitruvius/1*.html ,  
Marcus Vitruvius Pollio:
de Architectura, Liber I
Praefatio
 1. Cum divina tua mens et numen, imperator Caesar, imperio potiretur orbis terrarum invictaque virtute cunctis hostibus stratis, triumpho victoriaque tua cives gloriarentur et gentes omnes subactae tuum spectarent nutum populusque Romanus et senatus liberatus timore amplissimis tuis cogitationibus consiliisque gubernaretur, non audebam, tantis occupationibus, de architectura scripta et magnis cogitationibus explicata edere, metuens ne non apto tempore interpellans subirem tui animi offensionem.


1.      Book  >>  (Liber /T)/P
2.      Preface  >>  (Praefatio /T)/P
3.      Whilst  >>  (Cum /P)/GC/S/abT
4.      "O Cæsar"  >>  (divina /C2)/P
5.      your  >>  (tua /T)/P

6.      "god-like mind"  >>  (mens /C2)/GC/S/abT
7.      and  >>  (et /GC/S/abT)/C2
8.      genius  >>  (numen /T)/GC/S/abT
9.      were  >>  (imperator /GC/S/abT)/T
10.      engaged  >>  (Caesar /P)/C2

11.      in  >>  (imperio /P)/C2
12.      acquiring  >>  (potiretur /C2)/GC/S/abT
13.      dominion  >>  (orbis /T)/GC/S/abT
14.       of  >>  (terrarum /C2)/GC/S/abT
15.      world  >>  (invictaque /C2)/T

Et cetera.



Al-Jazari
http://encyclopedia.thefreedictionary.com/Al-Jazari ,    

"Al-Jazari"                     (H/S + "-ero of Alexandria"/T)                   "Hero of Alexandria"

>>            Abū al-'Iz Ibn Ismā'īl ibn al-Razāz al-Jazarī       (1136-1206)

*             "Al-Jazari"  >>  "Abū al-'Iz Ibn Ismā'īl ibn al-Razāz al-Jazarī" /S

"1136"                         ([ŋ=  w=]/P + "Al-Jazari"/C2)                            "Al-Jazari"
"1206"                     ([ŋ=  w=]/P + "Al-Jazari"/GC/S/abT)                         "Al-Jazari"

>>      best known for writing the Kitáb fí ma'rifat al-hiyal al-handasiyya (Book of Knowledge of Ingenious Mechanical Devices) in 1206

"Book of Knowledge of Ingenious Mechanical Devices"                 ([ŋ=  w=]/T + "Al-Jazari's writing"/C2)                "Al-Jazari's writing"

*        "Book of Knowledge of Ingenious Mechanical Devices"  >>  ("Kitáb fí ma'rifat al-hiyal al-handasiyya" /C2)/T  >>  ("1206" /C2/Ch)/T

>>        by the Banū Mūsā brothers in their Book of Ingenious Devices.[11]
http://encyclopedia.thefreedictionary.com/Book+of+Ingenious+Devices ,  
The Book of Ingenious Devices (Arabic: كتاب الحيل Kitab al-Hiyal) was a large illustrated work on mechanical devices, including automata, published in 850 by the three Persian brothers known as the Banu Musa (Ahmad, Muhammad and Hasan bin Musa ibn Shakir) working at the House of Wisdom (Bayt al-Hikma) in Baghdad, Iraq, under the Abbasid Caliphate.[1] The book described about one hundred devices and how to use them.[2]

"Banu Musa"                   (H/GC/S/abT + "-eron of Alexandria"/T)                 "Heron of Alexandria"
"three brothers"                   (H/GC/S/abT + "-eron of Alexandria"/T)/Ch                 "Heron of Alexandria"

* "Banu Musa"  >>  ("Book of Ingenious Devices" /T) /GC/S/abT  >>  ("850" /T/Ch) /GC/S/abT  >>  (Ahmad /C2)/T  >>  (Muhammad /GC/S/abT)/T >>  ("Hasan bin Musa ibn Shakir" /S)/T



Apollonius of Perga
http://encyclopedia.thefreedictionary.com/Apollonius+of+Perga ,  

>>         Apollonius of Perga [Pergaeus] (Ancient Greek: Ἀπολλώνιος) (ca. 262 BC – ca. 190 BC)

*       [ŋA  po  l=  lo  ni  ŋu  s=]  >>  Apollonius /S  >>  "Apollonius of Perga" /S/Ch

*                    Perga  >>  Pergaeus /P

"ca. BC 262"                     ([ŋ=  w=]/GC/S/abT + Apollonius/P)                    Apollonius
"ca. BC 190"                     ([ŋ=  w=]/GC/S/abT + Apollonius/T)                    Apollonius

>>             Conics

Conics               ([ŋ=  w=]/GC/S/abT + "Apollonius' writing"/P)              "Apollonius' writing"

Conics                        (P/GC/S/abT + "-arallel Lives"/P)                       "Parallel Lives"


>>            Other works
Pappus mentions other treatises of Apollonius:
1.    Λόγου ἀποτομή, De Rationis Sectione ("Cutting of a Ratio")
2.    Χωρίου ἀποτομή, De Spatii Sectione ("Cutting of an Area")
3.    Διωρισμένη τομή, De Sectione Determinata ("Determinate Section")
4.    Ἐπαφαί, De Tactionibus ("Tangencies")
5.    Νεύσεις, De Inclinationibus ("Inclinations")
6.    Τόποι ἐπίπεδοι, De Locis Planis ("Plane Loci").

Each of these was divided into two books, and—with the Data,

"Cutting of Ratio"               ([ŋ=  w=]/P + "Apollonius' writing"/S)              "Apollonius' writing"
"Cutting of area"               ([ŋ=  w=]/P + "Apollonius' writing"/C2)              "Apollonius' writing"
"Determinate Section"               ([ŋ=  w=]/T + "Apollonius' writing"/S)              "Apollonius' writing"
Tangencies                ([ŋ=  w=]/T + "Apollonius' writing"/C2)              "Apollonius' writing"
Inclinations                ([ŋ=  w=]/GC/S/abT + "Apollonius' writing"/S)              "Apollonius' writing"
"Plane Loci"                ([ŋ=  w=]/GC/S/abT + "Apollonius' writing"/C2)              "Apollonius' writing"

>>             Pappus

"Pappus of Alexandria"                ([ŋ=  w=]/GC/S/abT + "Apollonius of Perga"/S)              "Apollonius of Perga "

http://encyclopedia.thefreedictionary.com/Pappus+of+Alexandria ,  

*          "Cutting of Ratio"  >>  "De Rationis Sectione" /C1
*          "Cutting of Area"  >>  "De Spatii Sectione" /C1
*          "Determinate Section"  >>  "De Sectione Determinata" /C1
*          Tangencies  >>  "De Tactionibus" /C1
*          Inclinations  >>  "De Inclinationibus" /C1
*          "Plane Loci"  >>  "De Locis Planis" /C1


>>         Additional works
Ancient writers refer to other works of Apollonius that are no longer extant:
1.    Περὶ τοῦ πυρίου, On the Burning-Glass, a treatise probably exploring the focal properties of the parabola
2.    Περὶ τοῦ κοχλίου, On the Cylindrical Helix (mentioned by Proclus)
3.    A comparison of the dodecahedron and the icosahedron inscribed in the same sphere
4.    Ἡ καθόλου πραγματεία, a work on the general principles of mathematics that perhaps included Apollonius's criticisms and suggestions for the improvement of Euclid's Elements
5.    Ὠκυτόκιον ("Quick Bringing-to-birth"), in which, according to Eutocius, Apollonius demonstrated how to find closer limits for the value of π (pi) than those of Archimedes, who calculated 3+1/7 as the upper limit (3.1428571, with the digits after the decimal point repeating) and 3+10/71 as the lower limit (3.1408456338028160, with the digits after the decimal point repeating)
6.    an arithmetical work (see Pappus) on a system both for expressing large numbers in language more everyday than that of Archimedes' The Sand Reckoner and for multiplying these large numbers
7.    a great extension of the theory of irrationals expounded in Euclid, Book x., from binomial to multinomial and from ordered to unordered irrationals (see extracts from Pappus' comm. on Eucl. x., preserved in Arabic and published by Woepcke, 1856).

"On Burning-Glass"                ([ŋ=  w=]/T + "Apollonius' work"/C1)/+bp              "Apollonius' work"
"On Cylindrical Helix"                ([ŋ=  w=]/T + "Apollonius' work"/C1)/+cp              "Apollonius' work"

"comparison of dodecahedron and icosahedron inscribed in same sphere"                ([ŋ=  w=]/P + "Apollonius' work"/GC/S/abT)/+bp              "Apollonius' work"
"work on general principles of mathematics"                ([ŋ=  w=]/P + "Apollonius' work"/GC/S/abT)/+cp              "Apollonius' work"

"Quick Bringing-to-birth"                ([ŋ=  w=]/T + "Apollonius' work"/GC/S/abT)/+bp              "Apollonius' work"
"arithmetical work"                ([ŋ=  w=]/T + "Apollonius' work"/GC/S/abT)/+cp              "Apollonius' work"

"great extension of theory of irrationals expounded in Euclid, Book x"                ([ŋ=  w=]/S + "Apollonius' work"/GC/S/abT)              "Apollonius' work"



>>     Phonetic correspondence   between  Apollonius'  Conics    and  Plutarch's "Parallel Lives"


** I wonder the phonetic correspondence between Plutarch's "Parallel Lives" and T. L. HEATH's PREFACE as below.


http://www.archive.org/details/treatiseonconics00apolrich ,  

http://www.wilbourhall.org/pdfs/Treatise_on_Conic_Sections.pdf ,  
•  In English translation: Treatise on the Conic Sections, trans. T.L. Heath

Conics               ([ŋ=  w=]/GC/S/abT + "Apollonius' writing"/P)/+cp              "Apollonius' writing"

Conics                        (P/GC/S/abT + "-arallel Lives"/P)/+cp                       "Parallel Lives"

1.
preface                              (Th/GC/S/abT + eseus/P)/+cp                           Theseus

2.
"It is not to much to say"                ([ŋ=  w=]/GC/S/abT + "As geographers"/P)/+cp                "As geographers"

3.            to the great majority of mathematicians at the present time

"to great majority of mathematicians at present time"                (S/GC/S/abT + osius/P)/+cp                 Sosius

4.      crowd into the edges of their maps parts of the world which they do not know about --- Apollonius is nothing more than a name and his Conics

"Apollonius is nothing more than name and his Conics"                (cr/GC/S/abT + "-owd into edges of their maps parts of world which they do not know about"/P)/+cp                "crowd into edges of their maps parts of world which they do not know about"

Et cetera.      As below.


http://ebooks.adelaide.edu.au/p/plutarch/ ,    
http://ebooks.adelaide.edu.au/p/plutarch/lives/ ,    
http://ebooks.adelaide.edu.au/p/plutarch/lives/chapter1.html ,    

-- (preface) - Theseus
-- (It is not to much to say) - As geographers, -- (to <the> great majority of mathematicians at <the> present time) - Sosius, -- (Apollonius is nothing more than <a> name and his Conics) - crowd into <the> edges of their maps parts of <the> world which they do not know about, -- (for all practical purposes) - adding notes in <the> margin to <the> effect, -- (<a> book unknown) - that beyond this lies nothing but sandy deserts full of wild beasts, -- (Yet this book) - unapproachable bogs, -- (written some twenty-one centuries ago) - Scythian ice, -- (contains) - or <a> frozen sea, -- (in <the> words of Chasles) - so, -- (<the> most interesting properties of <the> conics) - in this work of mine, -- (to say nothing of such brilliant investigations as those in which) - in which I have compared <the> lives of <the> greatest men with one another, -- (by purely geometrical means) - after passing through those periods which probable reasoning can reach to and real history find <a> footing in, -- (<the> author arrives at what amounts to <the> complete determination of <the> evolute of any conic) - I might very well say of those that are farther off, -- (<The> general neglect of <the> "great geometer") - Beyond this there is nothing but prodigies and fictions, -- (as he was called by his contemporaries on account of this very work) - <the> only inhabitants are <the> poets and inventors of fables; -- (is all <the> more remarkable from <the> contrast which it affords to <the> fate of his predecessor Euclid) - there is no credit, -- (for) - or certainty any farther. -- (whereas in this country at least <the> Elements of Euclid are still) - Yet, -- (both as regards their contents and their order) - after publishing <an> account of Lycurgus <the> lawgiver and Numa <the> king, -- (<the> accepted basis of elementary geometry) - I thought I might, -- (<the> influence of Apollonius upon modern text-books on conic sections is) - not without reason, -- (so far as form and method are concerned) - ascend as high as to Romulus, -- (practically nil) - being brought by my history so near to his time.

-- (Nor is it hard to find probable reasons for <the> prevailing absence of knowledge on <the> subject) - Considering therefore with myself

-- (In <the> first place) - Whom shall I set so great <a> man to face?

Et cetera.



Pappus of Alexandria
http://encyclopedia.thefreedictionary.com/Pappus+of+Alexandria ,  

"Pappus of Alexandria"                ([ŋ=  w=]/GC/S/abT + "Apollonius of Perga"/S)              "Apollonius of Perga "

*             "Pappus of Alexandria"   >>  Pappus /C2

>>                 c. 290 – c. 350

"c. 290"                  (P/P + "-appus of Alexandria"/S)                 "Pappus of Alexandria"
"c. 350"                  (P/T + "-appus of Alexandria"/S)                 "Pappus of Alexandria"

>>        Synagoge or Collection

Synagoge                   (P/GC/S/abT + "-appus of Alexandria's work"/C2)/+bp                "Pappus of Alexandria's work"
Collection                   (P/GC/S/abT + "-appus of Alexandria's work"/C2)/+cp                "Pappus of Alexandria's work"

Synagoge                   (P/GC/S/abT + "-arallel Lives"/C2)/+bp                 "Parallel Lives"
Collection                   (P/GC/S/abT + "-arallel Lives"/C2)/+cp                 "Parallel Lives"

>>            We can only conjecture that the lost Book I, like Book II, was concerned with arithmetic, Book III being clearly introduced as beginning a new subject.

"Book III/Three"                      (Th/GC/S/abT + eseus/C2)/+cp                      Theseus

>>            Although Pappus's Theorem usually refers to Pappus's hexagon theorem, it may also refer to Pappus's centroid theorem.

Theorem                   (P/GC/S/abT + "-appus of Alexandria's work"/P)/+cp                "Pappus of Alexandria's work"

"Pappus' centroid theorem"                  (P/GC/S/abT + "-appus of Alexandria's work"/T)/Ch                "Pappus of Alexandria's work"

>>             He also gives his name to the Pappus chain, and to the Pappus configuration and Pappus graph arising from his hexagon theorem.

*          "Pappus's centroid theorem"  >>  ("Pappus chain" /S)/T  >>  ("Pappus configuration" /T)/P  >>  ("Pappus graph" /C2)/P



Diophantus of Alexandria
http://encyclopedia.thefreedictionary.com/Diophantus ,  

"Diophantus of Alexandria"              (P/C2 + "-appus of Alexandria"/GC/S/abT)              "Pappus of Alexandria"

>>       Diophantus of Alexandria (Greek: Διόφαντος ὁ Ἀλεξανδρεύς. b. between 200 and 214 CE, d. between 284 and 298 CE), sometimes called "the father of algebra",

*      "Diophantus of Alexandria"  >>  Diophantus /P  >>  ("father of algebra" /C2)/P

"200"                 (D/T + "-iophantus of Alexandria"/S)                "Diophantus of Alexandria"
"214"                 (D/T + "-iophantus of Alexandria"/S)/Ch                "Diophantus of Alexandria"

"284"                 (D/T + "-iophantus of Alexandria"/C2)                "Diophantus of Alexandria"
"298"                 (D/T + "-iophantus of Alexandria"/C2)/Ch                "Diophantus of Alexandria"


>>             the author of a series of books called Arithmetica

Arithmetica                 (D/P + "-iophantus of Alexandria's work"/C2)                "Diophantus of Alexandria's work"

>>             Hermann Hankel, renowned German mathematician

*               Diophantus  >>  ("Hermann Hankel" /C2)/P

http://encyclopedia.thefreedictionary.com/Hermann+Hankel ,    
>>              (February 14, 1839 - August 29, 1873)

"1839"                     (H/P + "-ermann Hankel"/C2)/+bp                   "Hermann Hankel"
February                   (H/P + "-ermann Hankel"/C2)/+cp                    "Hermann Hankel"
"14th"                      (H/P + "-ermann Hankel"/C2)/Ch                     "Hermann Hankel"

"1873"                     (H/T + "-ermann Hankel"/C2)/+bp                    "Hermann Hankel"
August                     (H/T + "-ermann Hankel"/C2)/+cp                    "Hermann Hankel"
"29th"                      (H/T + "-ermann Hankel"/C2)/Ch                     "Hermann Hankel"


>>           German mathematician Regiomontanus

Regiomontanus                       (D/P + iophantus/GC/S/abT)                       Diophantus

http://encyclopedia.thefreedictionary.com/Regiomontanus ,  

* Regiomontanus  >>  ("Johannes Müller von Königsberg" /GC/S/abT)/P  >>  "Johann Muller" /T  >>  Muller /T/Ch

Born                      6 June 1436                 Unfinden, now part of Königsberg, Bavaria
Died                      6 July 1476                                       Rome

"1436"                       (R/T + egiomontanus/S)/+bp                         Regiomontanus
June                          (R/T + egiomontanus/S)/+cp                         Regiomontanus
"6th"                      (R/T + egiomontanus/S)/Ch/+bp                         Regiomontanus
"Unfinden, now part of Königsberg, Bavaria"                (R/T + egiomontanus/S)/Ch/+cp                  Regiomontanus

"1476"                       (R/P + egiomontanus/S)/+bp                         Regiomontanus
July                          (R/P + egiomontanus/S)/+cp                         Regiomontanus
"6th"                       (R/P + egiomontanus/S)/Ch/+bp                        Regiomontanus
Rome                       (R/P + egiomontanus/S)/Ch/+cp                        Regiomontanus


>>     Arithmetica was first translated from Greek into Latin by Bombelli in 1570, but the translation was never published. However, Bombelli borrowed many of the problems for his own book Algebra
>>                     Rafael Bombelli
http://encyclopedia.thefreedictionary.com/Rafael+Bombelli ,  

Bombelli                          (D/S + iophantus/GC/S/abT)                          Diophantus

Algebra                          (B/P + "-ombelli's work"/C2)                     "Bombelli's work"


Guilielmus Xylander
http://encyclopedia.thefreedictionary.com/Guilielmus+Xylander ,  


>>                  Other works

Porisms                 (D/P + "-iophantus of Alexandria's work"/GC/S/abT)                "Diophantus of Alexandria's work"

*         Porisms  >>  (lemmas /GC/S/abT)/P

http://encyclopedia.thefreedictionary.com/Lemma+(mathematics) ,  
In mathematics, a lemma (plural lemmata or lemmas[1] from the Greek λήμμα, "lemma" meaning "anything which is received, such as a gift, profit, or a bribe") is a proven proposition which is used as a stepping stone to a larger result rather than as a statement in-and-of itself. A good stepping stone leads to many others, so some of the most powerful results in mathematics are known as lemmata, such as Bézout's lemma, Urysohn's lemma, Dehn's lemma, Fatou's lemma, Gauss's lemma, Nakayama's lemma, Poincaré's lemma, Riesz's lemma, Schwarz's lemma, Itō's lemma and Zorn's lemma. There is no formal distinction between a lemma and a theorem, only one of usage and convention.

*            Porisms  >>  (lemmas /GC/S/abT)/P

*           (lemmas /GC/S/abT)/P  >>  lemma /T  >>  lemmata /GC/S/abT  >>  Theory /T/Ch  >>  principle /P  >>  definition /P/Ch

>>         Diophantus is also known to have written on polygonal numbers

"on polygonal numbers"                 (D/C1 + "-iophantus of Alexandria's work"/GC/S/abT)                "Diophantus of Alexandria's work"

>> A book called Preliminaries to the Geometric Elements has been traditionally attributed to Hero of Alexandria.   It has been studied recently by Wilbur Knorr, who suggested that the attribution to Hero is incorrect, and that the true author is Diophantus.

"Preliminaries to Geometric Elements"                (D/P + "-iophantus of Alexandria's writing"/GC/S/abT)/+cp                "Diophantus of Alexandria's writing"

"Preliminaries to Geometric Elements"                (H/P + "-ero of Alexandria's work"/C2)/+cp                "Hero of Alexandria's work"



Proclus
http://encyclopedia.thefreedictionary.com/Proclus ,    

*                                Porphyry  >>  Proclus /GC/S/abT/Ch



Theon of Alexandria
http://encyclopedia.thefreedictionary.com/Theon+of+Alexandria ,      

"Theon of Alexandria"              (P/T + "-appus of Alexandria"/GC/S/abT)              "Pappus of Alexandria"

*           "Theon of Alexandria"  >>  Theon /C2

>>                    ca. 335 – ca. 405

"ca. 335"                   (Th/C2 + "-eon of Alexandria"/T)                  "Theon of Alexandria"
"ca. 405"                   (Th/GC/S/abT + "-eon of Alexandria"/T)                  "Theon of Alexandria"

>>       The biographical tradition (Suda) defines Theon as "the man from the Mouseion";

*           "Theon of Alexandria"  >>  Theon /C2  >>  ("man from Mouseion" /C2)/P

>>         Works
Theon's most durable achievement may be his edition of Euclid's Elements, published around 364 and authoritative into the 19th century.

"Euclid's Elements"                (Th/P + "-eon of Alexandria's work"/C2)              "Theon of Alexandria's work"
edition               (Th/P + "-eon of Alexandria's work"/C2)/Ch              "Theon of Alexandria's work"

>>      "conferences" (Synousiai) on Euclid, and commentaries (Exegeseis) on the Handy Tables and Almagest of Ptolemy, and on the technical poet Aratus.

Euclid                (Th/C2 + "-eon of Alexandria's work"/P)              "Theon of Alexandria's work"
conferences                (Th/C2 + "-eon of Alexandria's work"/P)/Ch              "Theon of Alexandria's work"

"Handy Tables"                (Th/GC/S/abT + "-eon of Alexandria's work"/C2)              "Theon of Alexandria's work"
commentaries                (Th/GC/S/abT + "-eon of Alexandria's work"/C2)/Ch              "Theon of Alexandria's work"

"Almagest of Ptolemy"                (Th/GC/S/abT + "-eon of Alexandria's work"/P)              "Theon of Alexandria's work"
commentaries                (Th/GC/S/abT + "-eon of Alexandria's work"/P)/Ch              "Theon of Alexandria's work"

"technical poet Aratus"                (Th/GC/S/abT + "-eon of Alexandria's work"/T)              "Theon of Alexandria's work"
commentaries                (Th/GC/S/abT + "-eon of Alexandria's work"/T)/Ch              "Theon of Alexandria's work"



François d'Aguilon
http://encyclopedia.thefreedictionary.com/Fran%c3%a7ois+d'Aguilon ,    

Calvin                             (Th/T + emistocles/C2)                              Themistocles
Luther                            (Th/T + emistocles/C2)/Ch                           Themistocles
Marlowe                                (Th/T + emistocles/P)                          Themistocles
Chapman                            (Th/T + emistocles/P)/Ch                         Themistocles
Shelley                             (Th/T + emistocles/S)                              Themistocles
Byron                            (Th/T + emistocles/S)/Ch                            Themistocles
Castelli                          (Th/T + emistocles/GC/S/abT)                        Themistocles
Orta                           (Th/T + emistocles/GC/S/abT)/Ch                      Themistocles
Wycliffe                         (Th/P + emistocles/GC/S/abT)                        Themistocles
Huss                           (Th/P + emistocles/GC/S/abT)/Ch                      Themistocles
"Mary Sidney"                          (Th/P + emistocles/S)                          Themistocles
Baïf                                  (Th/P + emistocles/S)/Ch                        Themistocles
Montaigne                             (Th/P + emistocles/C2)                         Themistocles
Guicciardini                          (Th/P + emistocles/C2)/Ch                       Themistocles
"Pico della Mirandola"                        (Th/P + emistocles/T)                    Themistocles
Frisius                                 (Th/P + emistocles/T)/Ch                       Themistocles
Milton                          (Th/GC/S/abT + emistocles/S)                         Themistocles
Chaucer                        (Th/GC/S/abT + emistocles/S)/Ch                      Themistocles
Boiardo                         (Th/GC/S/abT + emistocles/T)                         Themistocles
Cardano                        (Th/GC/S/abT + emistocles/T)/Ch                      Themistocles
Cusa                            (Th/GC/S/abT + emistocles/P)                         Themistocles
Nunes                          (Th/GC/S/abT + emistocles/P)/Ch                      Themistocles
Vesalius                         (Th/GC/S/abT + emistocles/c2)                        Themistocles
Borelli                        (Th/GC/S/abT + emistocles/c2)/Ch                       Themistocles
"de Vere"                         (Th/S + emistocles/GC/S/abT)                       Themistocles
Stanley                        (Th/S + emistocles/GC/S/abT)/Ch                      Themistocles
Vinci                                  (Th/S + emistocles/T)                           Themistocles
d'Aguilon                             (Th/S + emistocles/T)/Ch                        Themistocles

>>        François d'Aguilon (also d'Aguillon or in Latin Franciscus Aguilonius) (4 January 1567, Brussels – 20 March 1617, Tournai)

*              d'Aguilon  >>  "François d'Aguilon" /T  >>  "Franciscus Aguilonius" /C2

"1567"                                (d'/P + Aguilon/S)/+bp                            "d'Aguilon"
January                               (d'/P + Aguilon/S)/+cp                            "d'Aguilon"
"4th"                                  (d'/P + Aguilon/S)/Ch                             "d'Aguilon"

"1617"                                (d'/T + Aguilon/S)/+bp                            "d'Aguilon"
March                                 (d'/T + Aguilon/S)/+cp                            "d'Aguilon"
"20th"                                 (d'/T + Aguilon/S)/Ch                             "d'Aguilon"

>>       geometers like André Tacquet and Jean Charles della Faille.

* d'Aguilon  >>  "François d'Aguilon" /T  >>  "Franciscus Aguilonius" /C2  >>  ("André Tacquet" /T)/P  >>  ("Jean Charles della Faille" /S)/P

>>          His book, Opticorum Libri Sex philosophis juxta ac mathematicis utiles (Six Books of Optics, useful for philosophers and mathematicians alike), published in Antwerp in 1613, was illustrated by famous painter Peter Paul Rubens.

"Opticorum Libri Sex philosophis juxta ac mathematicis utiles"                  (d'/GC/S/abT + "-Aguilon's writing"/C2)                  "d'Aguilon's writing"

* "Opticorum Libri Sex philosophis juxta ac mathematicis utiles"  >>  ("1613" /S)/P  >>  (Antwerp /S/Ch)/P


André Tacquet
http://encyclopedia.thefreedictionary.com/Andr%c3%a9+Tacquet ,  

* d'Aguilon  >>  "François d'Aguilon" /T  >>  "Franciscus Aguilonius" /C2  >>  ("André Tacquet" /T)/P  >>  ("Jean Charles della Faille" /S)/P

*                   ("André Tacquet" /T)/P  >>  Tacquet /GC/S/abT

>>                Antwerp 23 June 1612 – 22 December, Antwerp 1660

"1612"                   ([ŋ=  w=]/C2 + "André Tacquet"/P)/+bp                 "André Tacquet"
June                      ([ŋ=  w=]/C2 + "André Tacquet"/P)/+cp                 "André Tacquet"
"Antwerp 23rd"               ([ŋ=  w=]/C2 + "André Tacquet"/P)/Ch              "André Tacquet"

"Antwerp 1660"              ([ŋ=  w=]/C2 + "André Tacquet"/T)/+bp               "André Tacquet"
December                  ([ŋ=  w=]/C2 + "André Tacquet"/T)/+cp               "André Tacquet"
"22nd"                   ([ŋ=  w=]/C2 + "André Tacquet"/T)/Ch                   "André Tacquet"

>>            Cylindricorum et annularium (1651).

"Cylindricorum et annularium"                  ([ŋ=  w=]/C2 + "André Tacquet's writing"/GC/S/abT)                  "André Tacquet's writing"

>>        He was one of the precursors of the infinitesimal calculus, developed by John Wallis.

"John Wallis"                  ([ŋ=  w=]/GC/S/abT + "André Tacquet"/T)/Ch                  "André Tacquet"



John Wallis
http://encyclopedia.thefreedictionary.com/John+Wallis ,    

"John Wallis"                  ([ŋ=  w=]/GC/S/abT + "André Tacquet"/T)/Ch                  "André Tacquet"

"John Bramhall"                   (Th/S + "-omas Hobbes' Opponent"/T)                 "Thomas Hobbes' Opponent"
"John Wallis"                   (Th/S + "-omas Hobbes' Opponent"/T)/Ch                 "Thomas Hobbes' Opponent"

Born                           November 23, 1616                        Ashford, Kent, England
Died                         October 28, 1703 (aged 86)              Oxford, Oxfordshire, England

"1616"                          (J/P + "-ohn Wallis"/C2)/+bp                          "John Wallis"
November                        (J/P + "-ohn Wallis"/C2)/+cp                         "John Wallis"
"1616"                        (J/P + "-ohn Wallis"/C2)/Ch/+bp                        "John Wallis"
"Ashford, Kent, England"                (J/P + "-ohn Wallis"/C2)/Ch/+cp              "John Wallis"

"1703"                          (J/T + "-ohn Wallis"/C2)/+bp                          "John Wallis"
October                          (J/T + "-ohn Wallis"/C2)/+cp                         "John Wallis"
"28th"                         (J/T + "-ohn Wallis"/C2)/Ch/+bp                        "John Wallis"
"Oxford, Oxfordshire, England"                 (J/T + "-ohn Wallis"/C2)/Ch/+cp                 "John Wallis"

>>        infinity ∞
>>        He is also credited with introducing the symbol ∞ for infinity.

"double zero"                           ([ŋ=  y=]/P + infinity/S)                            infinity

"double zero"                            (J/P + "-ohn Wallis"/S)                        "John Wallis"

The infinity symbol
http://encyclopedia.thefreedictionary.com/Infinity ,  
The infinity symbol ∞ is sometimes called the lemniscate, from the Latin lemniscus, meaning "ribbon".

lemniscate                         ([ŋ=  y=]/P + infinity/GC/S/abT)                         infinity
lemniscus                         ([ŋ=  y=]/P + infinity/GC/S/abT)/Ch                      infinity

>>        John Brehaut Wallis

*            "John Wallis"  >>  "John Brehaut Wallis" /P

>>       the third of five children of Reverend John Wallis and Joanna Chapman.

"Reverend John Wallis"               (J/GC/S/abT + "-ohn Wallis' father"/C2)                "John Wallis' father"
"Joanna Chapman"               (J/GC/S/abT + "-ohn Wallis' mother"/C2)                "John Wallis' mother"

>>          his marriage on 14 March 1645 to Susanna Glyde.

"Susanna Glyde"               (J/GC/S/abT + "-ohn Wallis' wife"/C2)                "John Wallis' wife"

>>          François Viète

*            "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P


>>     mastering William Oughtred's Clavis Mathematicae in a few weeks in 1647.

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P



>>        Although William Holder had earlier taught a deaf man Alexander Popham to speak ‘plainly and distinctly, and with a good and graceful tone’[2]. Wallis later claimed credit for this,

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P

"Alexander Popham"               (W/C2 + "-illiam Holder"/P)                "William Holder"

>>      Contributions to Mathematics
In his Opera Mathematica I (1695) Wallis introduced the term "continued fraction".

"Opera Mathematica I/first"               (J/C2 + "-ohn Wallis' writing"/P)                "John Wallis' writing"

>>       generally credited as the originator of the idea of the number line

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT

>>       Treatise on the Conic Sections

"Treatise on Conic Sections"               (J/C2 + "-ohn Wallis' writing"/GC/S/abT)                "John Wallis' writing"

>>      Arithmetica Infinitorum, the most important of Wallis's works, was published in 1656.

"Arithmetica Infinitorum"               (J/C2 + "-ohn Wallis' writing"/GC/S/abT)/Ch                "John Wallis' writing"

>>      A few years later, in 1659, Wallis published a tract containing the solution of the problems on the cycloid which had been proposed by Blaise Pascal.

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT  >>  ("Blaise Pascal" /T)/GC/S/abT

>>       a solution of the problem to rectify (i.e. find the length of) the semi-cubical parabola x3 = ay2, which had been discovered in 1657 by his pupil William Neile.

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT  >>  ("Blaise Pascal" /T)/GC/S/abT  >>  ("William Neile" /P)/S

>>        The logarithmic spiral had been rectified by Evangelista Torricelli,

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT  >>  ("Blaise Pascal" /T)/GC/S/abT  >>  ("William Neile" /P)/S  >>  (Torricelli /P/Ch)/S

>>        The cycloid was the next curve rectified; this was done by Wren in 1658.

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT  >>  ("Blaise Pascal" /T)/GC/S/abT  >>  ("William Neile" /P)/S  >>  (Torricelli /P/Ch)/S  >>  (Wren /T)/S

>>      Early in 1658 a similar discovery, independent of that of Neil, was made by van Heuraët,

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT  >>  ("Blaise Pascal" /T)/GC/S/abT  >>  ("William Neile" /P)/S  >>  (Torricelli /P/Ch)/S  >>  (Wren /T)/S  >>  ("van Heuraët" /T/Ch)/S

>>      and this was published by van Schooten in his edition of Descartes's Geometria in 1659.

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT  >>  ("Blaise Pascal" /T)/GC/S/abT  >>  ("William Neile" /P)/S  >>  (Torricelli /P/Ch)/S  >>  (Wren /T)/S  >>  ("van Heuraët" /T/Ch)/S  >>  ("van Schooten" /S)/GC/S/abT

>>     by Fermat in 1660,

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT  >>  ("Blaise Pascal" /T)/GC/S/abT  >>  ("William Neile" /P)/S  >>  (Torricelli /P/Ch)/S  >>  (Wren /T)/S  >>  ("van Heuraët" /T/Ch)/S  >>  ("van Schooten" /S)/GC/S/abT  >>  (Fermat /S/Ch)/GC/S/abT

>>     Wallis, Christopher Wren, and Christian Huygens sent correct and similar solutions

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT  >>  ("Blaise Pascal" /T)/GC/S/abT  >>  ("William Neile" /P)/S  >>  (Torricelli /P/Ch)/S  >>  (Wren /T)/S  >>  ("van Heuraët" /T/Ch)/S  >>  ("van Schooten" /S)/GC/S/abT  >>  (Fermat /S/Ch)/GC/S/abT  >>  ("Christian Huygens" /C2)/GC/S/abT

>>     Thabit Ibn Qurra (AD 901), an Arab mathematician, had produced a generalization of the Pythagorean theorem applicable to all triangles 6 centuries earlier.

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT  >>  ("Blaise Pascal" /T)/GC/S/abT  >>  ("William Neile" /P)/S  >>  (Torricelli /P/Ch)/S  >>  (Wren /T)/S  >>  ("van Heuraët" /T/Ch)/S  >>  ("van Schooten" /S)/GC/S/abT  >>  (Fermat /S/Ch)/GC/S/abT  >>  ("Christian Huygens" /C2)/GC/S/abT  >>  ("Thabit Ibn Qurra" /C2/Ch)/GC/S/abT

>>     also inspired by the works of Islamic mathematician Sadr al-Tusi, the son of Nasir al-Din al-Tusi, particularly by al-Tusi's book written in 1298 on the parallel postulate.

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  Wallis /P/Ch  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT  >>  ("Blaise Pascal" /T)/GC/S/abT  >>  ("William Neile" /P)/S  >>  (Torricelli /P/Ch)/S  >>  (Wren /T)/S  >>  ("van Heuraët" /T/Ch)/S  >>  ("van Schooten" /S)/GC/S/abT  >>  (Fermat /S/Ch)/GC/S/abT  >>  ("Christian Huygens" /C2)/GC/S/abT  >>  ("Thabit Ibn Qurra" /C2/Ch)/GC/S/abT  >>  ("Nasir al-Din al-Tusi" /P)/GC/S/abT  >>  ("Sadr al-Tusi" /P/Ch)/GC/S/abT

>>     and Henry Oldenburg, the Secretary of the Royal Society, sent a colleague to investigate how Wallis did it.

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  Wallis /P/Ch  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT  >>  ("Blaise Pascal" /T)/GC/S/abT  >>  ("William Neile" /P)/S  >>  (Torricelli /P/Ch)/S  >>  (Wren /T)/S  >>  ("van Heuraët" /T/Ch)/S  >>  ("van Schooten" /S)/GC/S/abT  >>  (Fermat /S/Ch)/GC/S/abT  >>  ("Christian Huygens" /C2)/GC/S/abT  >>  ("Thabit Ibn Qurra" /C2/Ch)/GC/S/abT  >>  ("Nasir al-Din al-Tusi" /P)/GC/S/abT  >>  ("Sadr al-Tusi" /P/Ch)/GC/S/abT  >>  ("Henry Oldenburg" /C2)/T

>>         Other works
Institutio logicae, published in 1687,
Grammatica linguae Anglicanae was a work on English grammar,

"Institutio logicae"               (J/S + "-ohn Wallis' writing"/P)                "John Wallis' writing"
"Grammatica linguae Anglicanae"               (J/S + "-ohn Wallis' writing"/P)/Ch                "John Wallis' writing"



John Aubrey
http://encyclopedia.thefreedictionary.com/John+Aubrey ,  

*                       Shakespeare  >>  ("John Aubrey" /C2)/GC/S/abT

>>          12 March 1626 – 7 June 1697

"1626"                        (J/T + "-ohn Aubrey"/C2)/+bp                         "John Aubrey"
March                         (J/T + "-ohn Aubrey"/C2)/+cp                         "John Aubrey"
"12th"                         (J/T + "-ohn Aubrey"/C2)/Ch                          "John Aubrey"

"1697"                        (J/P + "-ohn Aubrey"/C2)/+bp                         "John Aubrey"
June                           (J/P + "-ohn Aubrey"/C2)/+cp                         "John Aubrey"
"7th"                           (J/P + "-ohn Aubrey"/C2)/Ch                          "John Aubrey"

>>          Brief Lives

"Brief Lives"                   (J/P + "-ohn Aubrey's writing"/GC/S/abT)                  "John Aubrey's writing"

>>          Aubrey's erstwhile friend and fellow-antiquarian Anthony Wood

"Anthony Wood"                       (J/C2 + "-ohn Aubrey"/P)                      "John Aubrey"

>> These texts were, as Aubrey entitled them, Schediasmata, 'pieces written extempore,

*                        "Parallel Lives"  >>  ("Brief Lives" /P/Ch)/S

*                        "Brief Lives"  >>  Schediasmata /GC/S/abT



MISCELLANIES               (Br/T + "-ief Lives"/P)                "Brief Lives"

"Natural History of Wiltshire"               (Br/T + "-ief Lives"/P)/Ch                "Brief Lives"

*    "Natural History of Wiltshire"  >>  "Wiltshire Antiquities" /C2

>>        History of Northern Wiltshire

"History of Northern Wiltshire"               (W/GC/S/abT + "-iltshire Antiquities"/P)/Ch                "Wiltshire Antiquities"

>>               he made over his material, around 1695, to Thomas Tanner,

"Thomas Tanner"                  (J/GC/S/abT + "-ohn Aubrey"/P)                   "John Aubrey"


>>     Besides the works already mentioned, his papers included:
"Architectonica Sacra" "Erin Is God" (notes on ecclesiastical antiquities) and the "Life of Mr Thomas Hobbes of Malmesbury," which served as the basis for Dr. Blackburn's Latin life, and also for Wood's account.

"Architectonica Sacra"                   (J/T + "-ohn Aubrey's writing"/C2)                  "John Aubrey's writing"
"Erin Is God"                   (J/T + "-ohn Aubrey's writing"/C2)/Ch                  "John Aubrey's writing"

"Life of Mr Thomas Hobbes of Malmesbury"                   (J/S + "-ohn Aubrey's writing"/P)/Ch                 "John Aubrey's writing"

>>      Some parts of his survey of Surrey were incorporated in R Rawlinson's Natural History and Antiquities of Surrey (1719);

Rawlinson                          (J/P + "-ohn Aubrey"/S)                         "John Aubrey"

*                      Rawlinson  >>  "Richard Rawlinson" /P

>>       some of his antiquarian notes on Wiltshire were printed in Wiltshire: the Topographical Collections, corrected and enlarged by J.E. Jackson (Devizes: Henry Bull, 1862);

"Natural History of Wiltshire"               (Br/T + "-ief Lives"/P)/Ch                "Brief Lives"

*    "Natural History of Wiltshire"  >>  "Wiltshire Antiquities" /C2

"History of Northern Wiltshire"               (W/GC/S/abT + "-iltshire Antiquities"/P)/Ch                "Wiltshire Antiquities"

*          "History of Northern Wiltshire"  >>  "Wiltshire: Topographical Collections" /S

>>       the "Minutes for Lives" were partially edited in 1813.

*                        "Parallel Lives"  >>  ("Brief Lives" /P/Ch)/S

*        "Brief Lives"  >>  Schediasmata /GC/S/abT  >>  ("Minutes for Lives" /S)/P

>>      A near-complete transcript, Brief Lives chiefly of Contemporaries set down John Aubrey between the Years 1669 and 1696, was edited for the Clarendon Press in 1898 by the Rev. Andrew Clark from manuscripts in the Bodleian Library, Oxford.

* "Minutes for Lives"  >>  "Brief Lives chiefly of Contemporaries set down John Aubrey between Years 1669 and 1696"  /C2/Ch



>>     Phonetic correspondence   between John Aubrey's "Brief Lives"    and Plutarch's "Parallel Lives"

*                        "Parallel Lives"  >>  ("Brief Lives" /P/Ch)/S

http://www.archive.org/details/cu31924088005628 ,  
http://ia700407.us.archive.org/5/items/briefliveschiefl01aubruoft/briefliveschiefl01aubruoft.pdf ,  

Brief Lives
INTRODUCTION
I. ORIGIN OF THE 'LIVES.'
AUBREY sought and obtained an introduction to Anthony
Wood in August 1667. He was keenly interested in
antiquarian studies, and had the warmest love for Oxford ;
he had been a contemporary in Trinity College with
Wood's brother, Edward ; and so was drawn to Wood
on hearing that he was busy with researches into the
History of the University of Oxford.
Aubrey was one of those eminently good-natured men,
who are very slothful in their own affairs, but spare no
pains to work for a friend. He offered his help to Wood ;
and, when it was decided to include in Wood's book short
notices of writers connected with Oxford, that help proved
most valuable. Aubrey, through his family and familyconnexions,
and by reason of his restless goings-to-andfro,
had a wide circle of acquaintance among squires and
parsons, lawyers and doctors, merchants and politicians,
men of letters and persons of quality, both in town and
country. He had been, until his estate was squandered, an
extensive and curious buyer of books and MSS. And
above all, being a good gossip, he had used to the
utmost those opportunities of inquiry about men and
things which had been afforded him by societies grave,
like the Royal Society, and frivolous, as coffee-house
gatherings and tavern clubs. The scanty excerpts, given
in these volumes, from letters written by him between
1668 and 1673, supply a hint of how deeply Wood's
Historia et Antiquitates Universitatis Oxoniensis, published
in 1674, was indebted to the multifarious memory and
unwearying inquiries of the enthusiastic Aubrey.
Dean Fell's request that Wood should notice Oxford
writers and bishops in his Historia had suggested to Wood
the plan of, and set him to work upon, the larger and
happier scheme of the Athenae Oxonienses, an 'exact
history of all the writers and bishops that have had their
education in ... Oxford' since 1500. He engaged his
friend Aubrey to help him in his undertaking, by committing
to writing in a more systematic way, for Wood's
benefit, his multitudinous recollections of men and books.
He was dexterous enough to supply the additional motive,
that, after serving his friend's turn, Aubrey's collections
might be gathered together, preserved for a while in some
safe and secret place, and, ~ ~


1.                      "Parallel Lives"  >>  ("Brief Lives" /P/Ch)/S

2.                      Theseus  >>  (INTRODUCTION /P/Ch)/S

3.                      "As geographers"  >>  (one /P/Ch)/S

4.                      Sosius  >>  ("ORIGIN OF LIVES" /P/Ch)/S

5. "crowd into edges of their maps parts of world which they do not know about"  >>  ("AUBREY sought and obtained introduction to Anthony Wood in August 1667" /P/Ch)/S

Et cetera.      As below.


Theseus - (INTRODUCTION) --
As geographers - (I/one) --, Sosius - (ORIGIN OF <THE> 'LIVES.') --, crowd into <the> edges of their maps parts of <the> world which they do not know about - (AUBREY sought and obtained <an> introduction to Anthony Wood in August 1667.) --, adding notes in <the> margin to <the> effect - (He was keenly interested in antiquarian studies,) --, that beyond this lies nothing but sandy deserts full of wild beasts - (and had <the> warmest love for Oxford ;) --, unapproachable bogs - (he had been <a> contemporary in Trinity College with Wood's brother,) --, Scythian ice - (Edward ;) --, or <a> frozen sea - (and so was drawn to Wood on hearing that he was busy with researches into <the> History of <the> University of Oxford.) --, so - (Aubrey was one of those eminently good-natured men,) --, in this work of mine - (who are very slothful in their own affairs,) --, in which I have compared <the> lives of <the> greatest men with one another - (but spare no pains to work for <a> friend.) --, after passing through those periods which probable reasoning can reach to and real history find <a> footing in - (He offered his help to Wood ;) --, I might very well say of those that are farther off - (and,) --, Beyond this there is nothing but prodigies and fictions - (when it was decided to include in Wood's book short notices of writers connected with Oxford) --, <the> only inhabitants are <the> poets and inventors of fables - (that help proved most valuable) --; there is no credit - (Aubrey) --, or certainty any farther - (through his family and family connexions) --. Yet - (and by reason of his restless goings-to-and fro) --, after publishing <an> account of Lycurgus <the> lawgiver and Numa <the> king - (had <a> wide circle of acquaintance among squires and parsons) --, I thought I might - (lawyers and doctors) --, not without reason - (merchants and politicians) --, ascend as high as to Romulus - (men of letters and persons of quality) --, being brought by my history so near to his time - (both in town and country) --.

Considering therefore with myself

Whom shall I set so great <a> man to face - (He had been) --?
Or whom oppose - (until his estate was squandered) --? who’s equal to <the> place - (<an>
extensive and curious buyer of books and MSS.) --?

(as Aeschylus expresses it) - (And above all) --, I found none so fit as him that peopled <the> beautiful and far-famed city of Athens - (being <a> good gossip) --, to be set in opposition with <the> father of <the> invincible and renowned city of Rome - (he had used to <the> utmost those opportunities of inquiry about men and things which had been afforded him by societies grave,) --. Let us hope that Fable may - (like <the> Royal Society,) --, in what shall follow - (and frivolous,) --, so submit to <the> purifying processes of Reason as to take <the> character of exact history - (as coffee-house gatherings and tavern clubs.) --. In any case - (<The> scanty excerpts,) --, however - (given in these volumes,) --, where it shall be found contumaciously slighting credibility - (from letters written by him between 1668 and 1673,) --, and refusing to be reduced to anything like probable fact - (supply <a> hint of how deeply Wood's Historia et Antiquitates Universitatis Oxoniensis,) --, we shall beg that we may meet with candid readers - (published in 1674,) --, and such as will receive with indulgence <the> stories of antiquity - (was indebted to <the> multifarious memory and unwearying inquiries of <the> enthusiastic Aubrey.) --.

Theseus seemed to me to resemble Romulus in many particulars - (Dean Fell's request that Wood should notice Oxford writers and bishops in his Historia had suggested to Wood <the> plan of,) --. Both of them - (and set him to work upon,) --, born out of wedlock and of uncertain parentage - (<the> larger and happier scheme of <the> Athenae Oxonienses,) --, had <the> repute of being sprung from <the> gods - (<an> 'exact history of all <the> writers and bishops that have had their education in ...) --.

Both warriors - (Oxford') --; that by all <the> world’s allowed - (since 1500) --.

Both of them united with strength of body <an> equal vigor mind - (He engaged his friend Aubrey to help him in his undertaking,) --; and of <the> two most famous cities of <the> world <the> one built Rome - (by committing to writing in <a> more systematic way,) --, and <the> other made Athens be inhabited - (for Wood's benefit,) --. Both stand charged with <the> rape of women - (his multitudinous recollections of men and books.) --; neither of them could avoid domestic misfortunes nor jealousy at home - (He was dexterous enough to supply <the> additional motive,) --; but towards <the> close of their lives are both of them said to have incurred great odium with their countrymen - (that,) --, if - (after serving his friend's turn,) --, that is - (Aubrey's collections might be gathered together,) --, we may take <the> stories least like poetry as our guide to <the> truth - (preserved for <a> while in some safe and secret place,) --. ~ ~

Et cetera.



>>     Phonetic correspondence   between John Aubrey's "Brief Lives"    and John Aubrey's MISCELLANIES


http://openlibrary.org/works/OL2953432W/%27Brief_lives_%27_chiefly_of_contemporaries ,  
http://ia700407.us.archive.org/5/items/briefliveschiefl01aubruoft/briefliveschiefl01aubruoft_djvu.txt ,  

http://www.gutenberg.org/browse/authors/a#a1419 ,  
http://www.gutenberg.org/ebooks/4254 ,  
http://www.gutenberg.org/cache/epub/4254/pg4254.html ,  
Title: Miscellanies upon Various Subjects
Author: John Aubrey

MISCELLANIES                           (Br/T + "-ief Lives"/P)                         "Brief Lives"

"Natural History of Wiltshire"                (Br/T + "-ief Lives"/P)/Ch                  "Brief Lives"

*    "Natural History of Wiltshire"  >>  "Wiltshire Antiquities" /C2

**          (MISCELLANIES /P/+cp)/T  >>  ("Natural History of Wiltshire" /T/Ch/+bp)/P


MISCELLANIES

DAY FATALITY
OR, SOME OBSERVATIONS OF DAYS LUCKY AND UNLUCKY

      LUC. xix. 43.
      "In hoc die tuo": In this thy day.

That there be good and evil times, not only the sacred scriptures, but prophane authors mention: see 1 Sam. 25, 8. Esther 8, 17. and 9, 19, 22. Ecclus. 14. 14.

The fourteenth day of the first month was a memorable and blessed day amongst the children of Israel: see Exod. 12, 18, 40, 41, 42, 51. Levit. 23, 5. Numb. 28, 16. Four hundred and thirty years being expired of their dwelling in Egypt, even in the self same day departed they thence.

A thing something parallel to this we read in the Roman histories: that, that very day four years, that the civil wars were begun by Pompey the father, Caesar made an end of them with his sons; Cneius Pompeius being then slain, and it being also the last battle Cæsar was ever in. (Heylin in the kingdom of Corduba.) The calendar to Ovid's Fastorum, says, "Aprilis erat mensis Grcecis auspicatisimus", a most auspicious month among the Graecians.

As to evil days and times; see Amos 5, 13. and 6, 3. ~ ~


1.
"DAY FATALITY"                ([ŋ=  y=]/T + INTRODUCTION/P)                 INTRODUCTION

2.
or                                  ([ŋ=  w=]/T + one/P)                                     one

3.              ORIGIN OF THE 'LIVES.'

"SOME OBSERVATIONS OF DAYS LUCKY AND UNLUCKY"              ([ŋ=  w=]/T + "ORIGIN OF LIVES"/P)               "ORIGIN OF LIVES"

4.            AUBREY sought and obtained an introduction to Anthony Wood in August 1667

LUC                ([ŋ=  w=]/T + "AUBREY sought and obtained introduction to Anthony Wood in August 1667"/P)                 "AUBREY sought and obtained introduction to Anthony Wood in August 166"

5.
xix/nineteen                (H/T + "-e was keenly interested in antiquarian studies"/P)                 "He was keenly interested in antiquarian studies"

6.               and had the warmest love for Oxford

"forty-three"                ([ŋ=  w=]/T + "and had warmest love for Oxford"/P)                 "and had warmest love for Oxford"

7.     he had been a contemporary in Trinity College with Wood's brother

"In hoc die tuo"                (h/T + "-e had been contemporary in Trinity College with Wood's brother"/P)                 "he had been contemporary in Trinity College with
Wood's brother"

8.
"In this thy day"                       ([ŋ=  y=]/T + Edward/P)                         Edward

9. and so was drawn to Wood on hearing that he was busy with researches into the History of the University of Oxford

"That there be good and evil times"                ([ŋ=  w=]/T + "and so was drawn to Wood on hearing that he was busy with researches into History of University of Oxford"/P)                 "and so was drawn to Wood on hearing that he was busy with researches into History of University of Oxford"

10.                not only the sacred scriptures

"not only sacred scriptures"                ([ŋ=  w=]/T + "Aubrey was one of those eminently good-natured men"/P)                 "Aubrey was one of those eminently good-natured men"

11.
"but prophane authors mention"                (wh/T + "-o are very slothful in their own affairs"/P)                 "who are very slothful in their own affairs"

12.               but spare no pains to work for a friend

"see 1/one Sam"                (b/T + "ut spare no pains to work for friend"/P)                 "but spare no pains to work for friend"

13.
"25/twenty-five"                (H/T + "-e offered his help to Wood"/P)                 "He offered his help to Wood"

14.
"8/eight"                                ([ŋ=  y=]/T + and/P)                                  and

15.
"Esther 8/eight"                (wh/T + "-en it was decided to include in Wood's book short notices of writers connected with Oxford"/P)                 "when it was decided to include in Wood's book short notices of writers connected with Oxford"

16.
"17/seventeen"                (th/T + "-at help proved most valuable"/P)                 "that help proved most valuable"

17.
"and 9/nine"                            ([ŋ=  w=]/T + Aubrey/P)                            Aubrey

19.
"19/nineteen"                (thr/T + "ough his family and family connexions"/P)                 "through his family and family connexions"

20.
"22/twenty-two"                ([ŋ=  w=]/T + "and by reason of his restless goings-to-and fro"/P)                 "and by reason of his restless goings-to-and fro"

21.                  had a wide circle of acquaintance among squires and parsons

Ecclus                (h/T + "ad wide circle of acquaintance among squires and parsons"/P)                 "had wide circle of acquaintance among squires and parsons"

22.
"14/fourteen"                (l/T + "-awyers and doctors"/P)                 "lawyers and doctors"

23.
"14/fourteen"                (m/T + "-erchants and politicians"/P)                 "merchants and politicians"

24. The fourteenth day of the first month was a memorable and blessed day amongst the children of Israel

"fourteenth day of first month was memorable and blessed day amongst children of Israel"                (m/T + "-en of letters and persons of quality"/P)                 "men of letters and persons of quality"

25.
"see Exod"                (b/T + "-oth in town and country"/P)                 "both in town and country"

26.
"12/twelve"                         (H/T + "e had been"/P)                           "He had been"

27.
"18/eighteen"                ([ŋ=  w=]/T + "until his estate was squandered"/P)                 "until his estate was squandered"

28.                    an extensive and curious buyer of books and MSS

"40/forty"                ([ŋ=  y=]/T + "extensive and curious buyer of books and MSS"/P)                 "extensive and curious buyer of books and MSS"

29.
"41/forty-one"                  ([ŋ=  w=]/T + "And above all"/P)                   "And above all"

30.                      being a good gossip

"42/forty-two"                    (b/T + "-eing good gossip"/P)                 "being good gossip"

31. he had used to the utmost those opportunities of inquiry about men and things which had been afforded him by societies grave

"51/fifty-one"                (h/T + "-e had used to utmost those opportunities of inquiry about men and things which had been afforded him by societies grave"/P)                 "he had used to utmost those opportunities of inquiry about men and things which had been afforded him by societies grave"

32.                     like the Royal Society

"Levit"                     (l/T + "-ike Royal Society"/P)                         "like Royal Society"

33.
"23/twenty-three"                ([ŋ=  w=]/T + "and frivolous"/P)                 "and frivolous"

34.
"5/five"                ([ŋ=  w=]/T + "as coffee-house gatherings and tavern clubs"/P)                 "as coffee-house gatherings and tavern clubs"

35.                       The scanty excerpts

Numb                           (sc/T + "-anty excerpts"/P)                       "scanty excerpts"

36.
"28/twenty-eighty"                (g/T + "-iven in these volumes"/P)                 "given in these volumes"

37.
"16/sixteen"                (fr/T + "-om letters written by him between 1668 and 1673"/P)                 "from letters written by him between 1668 and 1673"

38.            supply a hint of how deeply Wood's Historia et Antiquitates Universitatis Oxoniensis

"Four hundred and thirty years being expired of their dwelling in Egypt"                (s/T + "-upply hint of how deeply Wood's Historia et Antiquitates Universitatis Oxoniensis"/P)                 "supply hint of how deeply Wood's Historia et Antiquitates Universitatis Oxoniensis"

39.                      even in the self same day departed they thence

"even in self same day departed they thence"                (p/T + "-ublished in 1674"/P)                 "published in 1674"

40. was indebted to the multifarious memory and unwearying inquiries of the enthusiastic Aubrey --- A thing something parallel to this we read in the Roman histories

"thing something parallel to this we read in Roman histories"                (w/T + "-as indebted to multifarious memory and unwearying inquiries of enthusiastic Aubrey"/P)                 "was indebted to multifarious memory and unwearying inquiries of enthusiastic Aubrey"

41. Dean Fell's request that Wood should notice Oxford writers and bishops in his Historia had suggested to Wood the plan of

that                (D/T + "-ean Fell's request that Wood should notice Oxford writers and bishops in his Historia had suggested to Wood plan of"/P)                 "Dean Fell's request that Wood should notice Oxford writers and bishops in his Historia had suggested to Wood plan of"

42.
"that very day four years"                ([ŋ=  w=]/T + "and set him to work upon"/P)                 "and set him to work upon"

43.               the larger and happier scheme of the Athenae Oxonienses

"that civil wars were begun by Pompey father"                (l/T + "-arger and happier scheme of Athenae Oxonienses"/P)                 "larger and happier scheme of Athenae Oxonienses"

44. an 'exact history of all the writers and bishops that have had their education in --- Caesar made an end of them with his sons

"Caesar made end of them with his sons"                ([ŋ=  y=]/T + "exact history of all writers and bishops that have had their education in"/P)                 "exact history of all writers and bishops that have had their education in"

45.
"Cneius Pompeius being then slain"                  ([ŋ=  w=]/T + Oxford/P)                  Oxford

46.                     and it being also the last battle Cæsar was ever in

"and it being also last battle Cæsar was ever in"                (s/T + "ince 1500"/P)                 "since 1500"

47.                       Heylin in the kingdom of Corduba.

"Heylin in kingdom of Corduba"                (H/T + "-e engaged his friend Aubrey to help him in his undertaking"/P)                 "He engaged his friend Aubrey to help him in his undertaking"

48.         by committing to writing in a more systematic way --- The calendar to Ovid's Fastorum

"calendar to Ovid's Fastorum"                ("by c"/T + "-ommitting to writing in more systematic way"/P)                 "by committing to writing in more systematic way"

49.
says                          (f/T + "-or Wood's benefit"/P)                     "for Wood's benefit"

50.
"Aprilis erat mensis Grcecis auspicatisimus"                (h/T + "-is multitudinous recollections of men and books"/P)                 "his multitudinous recollections of men and books"

51. He was dexterous enough to supply the additional motive --- a most auspicious month among the Graecians

"most auspicious month among Graecians"                (H/T + "-e was dexterous enough to supply additional motive"/P)                 "He was dexterous enough to supply additional motive"

52.
"As to evil days and times"                          (th/T + at/P)                              that

53.
"see Amos 5/five"                ([ŋ=  w=]/T + "after serving his friend's turn"/P)                 "after serving his friend's turn"

54.
"13/thirteen"                ([ŋ=  w=]/T + "Aubrey's collections might be gathered together"/P)                 "Aubrey's collections might be gathered together"

55.                  preserved for a while in some safe and secret place

"and 6"                (pr/T + "eserved for while in some safe and secret place"/P)                 "preserved for while in some safe and secret place"

56.
"3/three"                                ([ŋ=  w=]/T + and/P)                                and

Et cetera.



>>     Phonetic correspondence   between John Aubrey's "Brief Lives"    and John Aubrey's "The Natural History of Wiltshire"

http://www.gutenberg.org/cache/epub/4934/pg4934.html ,    
The Natural History of Wiltshire

CHAPTER I. AIR.

BEFORE I enter upon the discourse of the AIR of this countie, it would not be amiss that I gave an account of the winds that most commonly blow in the western parts of England.

I shall first allege the testimony of Julius Cæsar, who delivers to us thus: "Corns ventus, qui magnam partem omnis temporis in his locis flare consuevit". - (Commentaries, lib. v.) To which I will subjoine this of Mr. Th. Ax, of Somersetshire, who hath made dayly observations of the weather for these twenty-five years past, since 1661, and finds that, one yeare with another, the westerly winds, which doe come from the Atlantick sea, doe blowe ten moneths of the twelve. Besides, he hath made observations for thirty years, that the mannours in the easterne parts of the netherlands of Somersetshire doe yield six or eight per centum of their value; whereas those in the westerne parts doe yield but three, seldome four per centum, and in some mannours but two per centum. Hence he argues that the winds carrying these unwholesome vapours of the low country from one to the other, doe make the one more, the other less, healthy. ___________________________________

This shire may be divided as it were into three stories or stages. Chippenham vale is the lowest. The first elevation, or next storie, is from the Derry Hill, or Bowdon Lodge, to the hill beyond the Devises, called Red-hone, which is the limbe or beginning of Salisbury plaines. From the top of this hill one may discerne Our Lady Church Steeple at Sarum, like a fine Spanish needle. I would have the height of these hills, as also Hackpen, and those toward Lambourn, which are the highest, to he taken with the quicksilver barometer, according to the method of Mr. Edmund Halley in Philosophical Transactions, No. 181. ___________________________________

Now, although Mindip-hills and Whitesheet, &c., are as a barr and skreen to keep off from Wiltshire the westerly winds and raines, as they doe in some measure repel those noxious vapours, yet wee have a flavour of them; and when autumnal agues raigne, they are more common on the hills than in the vales of this country.


MISCELLANIES                           (Br/T + "-ief Lives"/P)                         "Brief Lives"

"Natural History of Wiltshire"                (Br/T + "-ief Lives"/P)/Ch                  "Brief Lives"

*    "Natural History of Wiltshire"  >>  "Wiltshire Antiquities" /C2

**          (MISCELLANIES /P/+cp)/T  >>  ("Natural History of Wiltshire" /T/Ch/+bp)/P


1.
"CHAPTER I/one"                ([ŋ=  y=]/T + INTRODUCTION/P)/Ch                 INTRODUCTION

2.
AIR                                  ([ŋ=  w=]/T + one/P)/Ch                                  one

3.       ORIGIN OF THE 'LIVES.' --- BEFORE I enter upon the discourse of the AIR of this countie

"BEFORE I enter upon discourse of AIR of this countie"              ([ŋ=  w=]/T + "ORIGIN OF LIVES"/P)/Ch               "ORIGIN OF LIVES"

4. AUBREY sought and obtained an introduction to Anthony Wood in August 1667 --- it would not be amiss that I gave an account of the winds that most commonly blow in the western parts of England

"it would not be amiss that I gave account of winds that most commonly blow in western parts of England"                ([ŋ=  w=]/T + "AUBREY sought and obtained introduction to Anthony Wood in August 1667"/P)/Ch                 "AUBREY sought and obtained introduction to Anthony Wood in August 166"

5.                  I shall first allege the testimony of Julius Cæsar

"I shall first allege the testimony of Julius Cæsar"                (H/T + "-e was keenly interested in antiquarian studies"/P)/Ch                 "He was keenly interested in antiquarian studies"

6.               and had the warmest love for Oxford

"who delivers to us thus"                ([ŋ=  w=]/T + "and had warmest love for Oxford"/P)/Ch                 "and had warmest love for Oxford"

7.     he had been a contemporary in Trinity College with Wood's brother

"Corns ventus"                (h/T + "-e had been contemporary in Trinity College with Wood's brother"/P)/Ch                 "he had been contemporary in Trinity College with
Wood's brother"

8.
Commentaries                          ([ŋ=  y=]/T + Edward/P)/Ch                       Edward

9. and so was drawn to Wood on hearing that he was busy with researches into the History of the University of Oxford

lib                 ([ŋ=  w=]/T + "and so was drawn to Wood on hearing that he was busy with researches into History of University of Oxford"/P)/Ch                 "and so was drawn to Wood on hearing that he was busy with researches into History of University of Oxford"

10.                
"v/five"                ([ŋ=  w=]/T + "Aubrey was one of those eminently good-natured men"/P)/Ch                 "Aubrey was one of those eminently good-natured men"

11.
"To which I will subjoine this of Mr. Th"                (wh/T + "-o are very slothful in their own affairs"/P)/Ch                 "who are very slothful in their own affairs"

12.               but spare no pains to work for a friend

Ax                (b/T + "ut spare no pains to work for friend"/P)/Ch                 "but spare no pains to work for friend"

13.
"of Somersetshire"                (H/T + "-e offered his help to Wood"/P)/Ch                 "He offered his help to Wood"

14.          who hath made dayly observations of the weather for these twenty-five years past

"who hath made dayly observations of weather for these twenty-five years past"                ([ŋ=  y=]/T + and/P)/Ch                   and

15.
"since 1661"                (wh/T + "-en it was decided to include in Wood's book short notices of writers connected with Oxford"/P)/Ch                 "when it was decided to include in Wood's book short notices of writers connected with Oxford"

16.
"and finds that"                (th/T + "-at help proved most valuable"/P)/Ch                 "that help proved most valuable"

17.
"one yeare with another"                      ([ŋ=  w=]/T + Aubrey/P)/Ch                   Aubrey

19.                     the westerly winds

"westerly winds"                (thr/T + "ough his family and family connexions"/P)/Ch                 "through his family and family connexions"

20.               which doe come from the Atlantick sea

"which doe come from Atlantick sea"                ([ŋ=  w=]/T + "and by reason of his restless goings-to-and fro"/P)/Ch                 "and by reason of his restless goings-to-and fro"

21. had a wide circle of acquaintance among squires and parsons --- doe blowe ten moneths of the twelve

"doe blowe ten moneths of twelve"                (h/T + "ad wide circle of acquaintance among squires and parsons"/P)/Ch                 "had wide circle of acquaintance among squires and parsons"

22.
Besides                 (l/T + "-awyers and doctors"/P)/Ch                   "lawyers and doctors"

23.
" he hath made observations for thirty years "                (m/T + "-erchants and politicians"/P)/Ch                 "merchants and politicians"

24. that the mannours in the easterne parts of the netherlands of Somersetshire doe yield six or eight per centum of their value

"that mannours in easterne parts of netherlands of Somersetshire doe yield six or eight per centum of their value"                (m/T + "-en of letters and persons of quality"/P)/Ch                 "men of letters and persons of quality"

25.                      whereas those in the westerne parts doe yield but three

"whereas those in westerne parts doe yield but three"                (b/T + "-oth in town and country"/P)/Ch                 "both in town and country"

26.
"seldome four per centum"                 (H/T + "e had been"/P)/Ch                "He had been"

27.
"and in some mannours but two per centum"                ([ŋ=  w=]/T + "until his estate was squandered"/P)/Ch                 "until his estate was squandered"

28. an extensive and curious buyer of books and MSS --- Hence he argues that the winds carrying these unwholesome vapours of the low country from one to the other

"Hence he argues that winds carrying these unwholesome vapours of low country from one to other"                ([ŋ=  y=]/T + "extensive and curious buyer of books and MSS"/P)/Ch                 "extensive and curious buyer of books and MSS"

29.                  doe make the one more

"doe make one more"                  ([ŋ=  w=]/T + "And above all"/P)/Ch               "And above all"

30.                      being a good gossip --- the other less

"other less"                   (b/T + "-eing good gossip"/P)/Ch                 "being good gossip"

31. he had used to the utmost those opportunities of inquiry about men and things which had been afforded him by societies grave

healthy                 (h/T + "-e had used to utmost those opportunities of inquiry about men and things which had been afforded him by societies grave"/P)/Ch                 "he had used to utmost those opportunities of inquiry about men and things which had been afforded him by societies grave"

32.                     like the Royal Society

"This shire may be divided as it were into three stories or stages"                 (l/T + "-ike Royal Society"/P)/Ch                  "like Royal Society"

33.                  Chippenham vale is the lowest

"Chippenham vale is lowest"                ([ŋ=  w=]/T + "and frivolous"/P)/Ch                 "and frivolous"

34.                  The first elevation

"first elevation"                ([ŋ=  w=]/T + "as coffee-house gatherings and tavern clubs"/P)/Ch                 "as coffee-house gatherings and tavern clubs"

35.                       The scanty excerpts

"or next storie"               (sc/T + "-anty excerpts"/P)/Ch                 "scanty excerpts"

36.                       is from the Derry Hill

"is from Derry Hill"                (g/T + "-iven in these volumes"/P)/Ch                 "given in these volumes"

37.
"or Bowdon Lodge"                (fr/T + "-om letters written by him between 1668 and 1673"/P)/Ch                 "from letters written by him between 1668 and 1673"

38. supply a hint of how deeply Wood's Historia et Antiquitates Universitatis Oxoniensis --- to the hill beyond the Devises

"to hill beyond Devises"                (s/T + "-upply hint of how deeply Wood's Historia et Antiquitates Universitatis Oxoniensis"/P)/Ch                 "supply hint of how deeply Wood's Historia et Antiquitates Universitatis Oxoniensis"

39.
"called Red-hone"                (p/T + "-ublished in 1674"/P)/Ch                 "published in 1674"

40. was indebted to the multifarious memory and unwearying inquiries of the enthusiastic Aubrey --- which is the limbe or beginning of Salisbury plaines

"which is limbe or beginning of Salisbury plaines"                (w/T + "-as indebted to multifarious memory and unwearying inquiries of enthusiastic Aubrey"/P)/Ch                 "was indebted to multifarious memory and unwearying inquiries of enthusiastic Aubrey"

41. Dean Fell's request that Wood should notice Oxford writers and bishops in his Historia had suggested to Wood the plan of --- From the top of this hill one may discerne Our Lady Church Steeple at Sarum

"From top of this hill one may discerne Our Lady Church Steeple at Sarum"                (D/T + "-ean Fell's request that Wood should notice Oxford writers and bishops in his Historia had suggested to Wood plan of"/P) Ch                 "Dean Fell's request that Wood should notice Oxford writers and bishops in his Historia had suggested to Wood plan of"

42.                like a fine Spanish needle

"like fine Spanish needle"                ([ŋ=  w=]/T + "and set him to work upon"/P)/Ch                 "and set him to work upon"

43.   the larger and happier scheme of the Athenae Oxonienses --- I would have the height of these hills

"I would have height of these hills"                (l/T + "-arger and happier scheme of Athenae Oxonienses"/P)/Ch                 "larger and happier scheme of Athenae Oxonienses"

44.              an 'exact history of all the writers and bishops that have had their education in

"as also Hackpen"                ([ŋ=  y=]/T + "exact history of all writers and bishops that have had their education in"/P)/Ch                 "exact history of all writers and bishops that have had their education in"

45.
"and those toward Lambourn"                    ([ŋ=  w=]/T + Oxford/P)/Ch                   Oxford

46.            and it being also the last battle Cæsar was ever in --- which are the highest

"which are highest"                      (s/T + "ince 1500"/P)/Ch                      "since 1500"

47.        Heylin in the kingdom of Corduba. --- to he taken with the quicksilver barometer

"to he taken with quicksilver barometer"                (H/T + "-e engaged his friend Aubrey to help him in his undertaking"/P)/Ch                 "He engaged his friend Aubrey to help him in his undertaking"

48. by committing to writing in a more systematic way --- according to the method of Mr. Edmund Halley in Philosophical Transactions

"according to method of Mr. Edmund Halley in Philosophical Transactions"                ("by c"/T + "-ommitting to writing in more systematic way"/P)/Ch                 "by committing to writing in more systematic way"

49.
"No. 181"                    (f/T + "-or Wood's benefit"/P)/Ch                  "for Wood's benefit"

50.
Now                (h/T + "-is multitudinous recollections of men and books"/P)/Ch                 "his multitudinous recollections of men and books"

51. He was dexterous enough to supply the additional motive

"although Mindip-hills and Whitesheet"                (H/T + "-e was dexterous enough to supply additional motive"/P)/Ch,                 "He was dexterous enough to supply additional motive"

52.
"&c."                                     (th/T + at/P)/Ch                                     that

53.             are as a barr and skreen to keep off from Wiltshire the westerly winds and raines

"are as barr and skreen to keep off from Wiltshire westerly winds and raines"                ([ŋ=  w=]/T + "after serving his friend's turn"/P)/Ch                 "after serving his friend's turn"

54.
"as they doe in some measure repel those noxious vapours"                ([ŋ=  w=]/T + "Aubrey's collections might be gathered together"/P)/Ch                 "Aubrey's collections might be gathered together"

55.       preserved for a while in some safe and secret place --- yet wee have a flavour of them

"yet wee have flavour of them"                (pr/T + "eserved for while in some safe and secret place"/P)                 "preserved for while in some safe and secret place"

56.
"and when autumnal agues raigne"                     ([ŋ=  w=]/T + and/P)                      and

Et cetera.



>>     Phonetic correspondence   between John Aubrey's MISCELLANIES    and John Aubrey's "The Natural History of Wiltshire"


**          (MISCELLANIES /P/+cp)/T  >>  ("Natural History of Wiltshire" /T/Ch/+bp)/P


1.                ("DAY FATALITY" /P/+cp)/T  >>  ("CHAPTER I/one" /T/Ch/+bp)/P
2.                     ("OR" /P/+cp)/T  >>  ("AIR" /T/Ch/+bp)/P
3. ("SOME OBSERVATIONS OF DAYS LUCKY AND UNLUCKY" /P/+cp)/T  >>  ("BEFORE I enter upon <the> discourse of <the> AIR of this countie" /T/Ch/+bp)/P
4. (LUC /P/+cp)/T  >>  ("it would not be amiss that I gave <an> account of <the> winds that most commonly blow in <the> western parts of England" /T/Ch/+bp)/P
5. ("xix/nineteen" /P/+cp)/T  >>  ("I shall first allege <the> testimony of Julius Cæsar" /T/Ch/+bp)/P

6.                       ("43" /P/+cp)/T  >>  ("who delivers to us thus" /T/Ch/+bp)/P
7.                       ("In hoc die tuo" /P/+cp)/T  >>  ("Corns ventus" /T/Ch/+bp)/P
8. ("In this thy day" /P/+cp)/T  >>  ("qui magnam partem omnis temporis in his locis flare consuevit" /T/Ch/+bp)/P
9.                      ("That there be good and evil times" /P/+cp)/T  >>  (Commentaries /T/Ch/+bp)/P
10.                     ("not only <the> sacred scriptures" /P/+cp)/T  >>  (lib /T/Ch/+bp)/P

11.                     ("but prophane authors mention" /P/+cp)/T  >>  ("v/five" /T/Ch/+bp)/P
12.                     ("see 1 Sam" /P/+cp)/T  >>  ("To which I will subjoine this of Mr. Th" /T/Ch/+bp)/P
13.                     ("25" /P/+cp)/T  >>  (Ax /T/Ch/+bp)/P
14.                     ("8" /P/+cp)/T  >>  ("of Somersetshire" /T/Ch/+bp)/P
15. ("Esther 8" /P/+cp)/T  >>  ("who hath made dayly observations of <the> weather for these twenty-five years past" /T/Ch/+bp)/P

16.                    ("17" /P/+cp)/T  >>  ("since 1661" /T/Ch/+bp)/P
17.                    ("and 9" /P/+cp)/T  >>  ("and finds that " /T/Ch/+bp)/P
18.                    ("19" /P/+cp)/T  >>  ("one yeare with another" /T/Ch/+bp)/P
19.                    ("22" /P/+cp)/T  >>  ("<the> westerly winds" /T/Ch/+bp)/P
20.                    (Ecclus /P/+cp)/T  >>  ("which doe come from <the> Atlantick sea" /T/Ch)/P

21.*               ("14" /P/+cp)/T  >>  ("doe blowe ten moneths of <the> twelve" /T/Ch/+bp)/P
22.**                     ("14" /P/+cp)/T  >>  ("Besides" /T/Ch)/P
23. ("<the> fourteenth day of <the> first month was <a> memorable and blessed day amongst <the> children of Israel" /P/+cp)/T  >>  ("he hath made observations for thirty years" /T/Ch/+bp)/P
24. ("see Exod" /P/+cp)/T  >>  ("that <the> mannours in <the> easterne parts of <the> netherlands of Somersetshire doe yield six or eight per centum of their value" /T/Ch/+bp)/P
25. ("12" /P/+cp)/T  >>  ("whereas those in <the> westerne parts doe yield but three" /T/Ch/+bp)/P

26.                    ("18" /P/+cp)/T  >>  ("seldome four per centum" /T/Ch/+bp)/P
27.             ("40" /P/+cp)/T  >>  ("and in some mannours but two per centum" /T/Ch/+bp)/P
28. ("41" /P/+cp)/T  >>  ("Hence he argues that <the> winds carrying these unwholesome vapours of <the> low country from one to <the> other" /T/Ch/+bp)/P
29.                   ("42" /P/+cp)/T  >>  ("doe make <the> one more" /T/Ch/+bp)/P
30.                   ("51" /P/+cp)/T  >>  ("<the> other less" /T/Ch/+bp)/P

31.                    (Levit /P/+cp)/T  >>  (healthy /T/Ch/+bp)/P
32. ("23" /P/+cp)/T  >>  ("This shire may be divided as it were into three stories or stages" /T/Ch/+bp)/P
33.               ("5" /P/+cp)/T  >>  ("Chippenham vale is <the> lowest" /T/Ch/+bp)/P
34.                    ("Numb" /P/+cp)/T  >>  ("<the> first elevation" /T/Ch/+bp)/P
35.                    ("28" /P/+cp)/T  >>  ("or next storie" /T/Ch/+bp)/P

36.                    ("16" /P/+cp)/T  >>  ("is from <the> Derry Hill" /T/Ch/+bp)/P
37. ("Four hundred and thirty years being expired of their dwelling in Egypt" /P/+cp)/T  >>  ("or Bowdon Lodge" /T/Ch/+bp)/P
38. ("even in <the> self same day departed they thence" /P/+cp)/T  >>  ("to <the> hill beyond <the> Devises" /T/Ch/+bp)/P
39. ("<A> thing something parallel to this we read in <the> Roman histories" /P/+cp)/T  >>  ("called Red-hone " /T/Ch/+bp)/P
40.      (that /P/+cp)/T  >>  ("which is <the> limbe or beginning of Salisbury plaines" /T/Ch/+bp)/P

41. ("that very day four years" /P/+cp)/T  >>  ("From <the> top of this hill one may discerne Our Lady Church Steeple at Sarum" /T/Ch/+bp)/P
42. ("that <the> civil wars were begun by Pompey <the> father" /P/+cp)/T  >>  ("like <a> fine Spanish needle" /T/Ch/+bp)/P
43. ("Caesar made <an> end of them with his sons" /P/+cp)/T  >>  ("I would have <the> height of these hills" /T/Ch/+bp)/P
44. ("Cneius Pompeius being then slain" /P/+cp)/T  >>  ("as also Hackpen, and those toward Lambourn" /T/Ch/+bp)/P
45. ("and it being also <the> last battle Cæsar was ever in" /P/+cp)/T  >>  ("which are <the> highest" /T/Ch/+bp)/P

46. ("Heylin in <the> kingdom of Corduba" /P/+cp)/T  >>  ("to he taken with <the> quicksilver barometer" /T/Ch/+bp)/P
47. ("<The> calendar to Ovid's Fastorum" /P/+cp)/T  >>  ("according to <the> method of Mr. Edmund Halley in Philosophical Transactions" /T/Ch/+bp)/P
48.                  (says /P/+cp)/T  >>  ("No. 181" /T/Ch/+bp)/P
49.               ("Aprilis erat mensis Grcecis auspicatisimus" /P/+cp)/T  >>  (Now /T/Ch/+bp)/P
50. ("<a> most auspicious month among <the> Graecians" /P/+cp)/T  >>  ("although Mindip-hills and Whitesheet" /T/Ch/+bp)/P

51.               ("As to evil days and times" /P/+cp)/T  >>  ("&c" /T/Ch/+bp)/P
52. ("see Amos 5" /P/+cp)/T  >>  ("are as <a> barr and skreen to keep off from Wiltshire <the> westerly winds and raines" /T/Ch/+bp)/P
53.   ("13" /P/+cp)/T  >>  ("as they doe in some measure repel those noxious vapours" /T/Ch/+bp)/P
54.               ("and 6" /P/+cp)/T  >>  ("yet wee have <a> flavour of them" /T/Ch/+bp)/P
55. ("3" /P/+cp)/T  >>  ("and when autumnal agues raigne" /T/Ch/+bp)/P

Et cetera.



François Viète
http://encyclopedia.thefreedictionary.com/Fran%c3%a7ois+Vi%c3%a8te ,  

*            "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P

>>       Latin: Franciscus Vieta;             1540 – 23 February 1603

*            "François Viète"  >>  "Franciscus Vieta" /C2  >>  Viète /S  >>  Vieta /S/Ch

Born                               1540                            Fontenay-le-Comte, Vendée
Died                   23 December 1603 (aged 62-63)                        Paris, France

"1540"                           (Fr/T + "-ançois Viète"/S)                         "François Viète"
"Fontenay-le-Comte, Vendée"                 (Fr/T + "-ançois Viète"/S)/Ch                "François Viète"

"1603"                        (Fr/P + "-ançois Viète"/S)/+bp                       "François Viète"
December                     (Fr/P + "-ançois Viète"/S)/+cp                       "François Viète"
"23rd"                      (Fr/P + "-ançois Viète"/S)/Ch/+bp                      "François Viète"
"Paris, France"                 (Fr/P + "-ançois Viète"/S)/Ch/+cp                   "François Viète"

>>       Explicatio (1603).

Explicatio                  (Fr/T + "-ançois Viète's work"/GC/S/Ch/abT)                 "François Viète's work"

*                    Explicatio  >>  ("1603" /T)/C2

>>     Another of his works, Recensio canonica effectionum geometricarum, bears a modern stamp, being what was later called an algebraic geometry

"Recensio canonica effectionum geometricarum"                  (Fr/S + "-ançois Viète's work"/GC/S/Ch/abT)                 "François Viète's work"

>>      The logic of species

"logic of species"                  (Fr/C2 + "-ançois Viète's work"/S)                 "François Viète's work"

*      "logic of species"  >>  "species logistic" /P  >>  "1591" /P/Ch

"art of calculation on symbols"               (l/C2 + "-ogic of species"/S)               "logic of species"

>>    He described in three stages how to proceed for solving a problem:
•    As a first step, he summarized the problem in the form of an equation. Vieta called this stage the Zetetic. It denotes the known quantities by consonants (B, D, etc.) and the unknown quantities by the vowels (A, E, etc.)
•    In a second step, he made an analysis. He called this stage the Poristic. Here mathematicians must discuss the equation and solve it. It gives the characteristic of the problem, porisma, from which we can move to the next step.
•    In the last step, the exegetical analysis, he returned to the initial problem which presents a solution through a geometrical or numerical construction based on porisma.

*                "problem in form of equation"  >>  Zetetic /P

*                "known quantity"  >>  (B /P)/S  >>  (D /C2)/S

*                "unknown quantity"  >>  (A /T)/S  >>  (E /GC/S/Ch/abT)/S

Poristic                          ([ŋ=  w=]/P + analysis/S)                             analysis

*                "characteristic of problem"  >>  (porisma /C2)/P

exegetical                    (g/C1 + "-eometrical or numerical"/P)                   "geometrical or numerical"


>>     Works
•    Between 1564 and 1568, Vieta prepared for his student, Catherine de Parthenay, some textbooks of astronomy and trigonometry and a treaty that was never published: Harmonicon coelestis.

"Harmonicon coelestis"                  (Fr/GC/S/Ch/abT + "-ançois Viète's work"/P)                 "François Viète's work"

* "Harmonicon coelestis"  >>  ("1564" /T)/C2  >>  ("1568" /T/Ch)/C2  >>  ("Catherine de Parthenay" /P)/C2  >>  (student /P/Ch)/C2  >>  ("textbooks of astronomy and trigonometry" /S)/C2  >>  ("treaty that was never published" /S/Ch)/C2

•    From 1571, he published at his own expense and with great printing difficulties:
Francisci Vietœi universalium inspectionum ad canonem mathematicum liber singularis; a book of trigonometry, in abbreviated Canonen mathematicum, where there are many formulas on the sine and cosine. It is unusual in using decimal numbers. These trigonometric tables exceeded those of Regiomontanus (Triangulate Omnimodis, 1533) and Rheticus (1543, annexed to De revolutionibus ... of Copernicus).

"Francisci Vietœi universalium inspectionum ad canonem mathematicum liber singularis"                  (Fr/P + "-ançois Viète's work"/GC/S/Ch/abT)                 "François Viète's work"

* "Francisci Vietœi universalium inspectionum ad canonem mathematicum liber singularis"  >>  ("1571" /T)/C2  >>  ("book of trigonometry" /T/Ch)/C2  >>  ("Canonen mathematicum" /P)/C2  >>  (abbreviated /P/Ch)/C1  >>  ("unusual in using decimal numbers" /S)/C1  >>  ("trigonometric tables" /S/Ch)/C2

•    In 1589: Deschiffrement escription of a letter by the Commander Moreo at Roy Espaigne of his master. Tours, Mettayer, 1590, p. 20

"Deschiffrement escription of letter by Commander Moreo at Roy Espaigne of his master"                  (Fr/S + "-ançois Viète's work"/C2)                 "François Viète's work"

* "Deschiffrement escription of letter by Commander Moreo at Roy Espaigne of his master"  >>  ("1589" /T)/C2  >>  ("Tours, Mettayer" /T/Ch)/C2  >>  ("1590" /P)/C2  >>  ("twenty pages" /P/Ch)/C2

•    Two versions of the Isagoge:
o    Francisci Vietae-in artem analyticem isagoge. Tours, Mettayer, 1591, 9 fol-Francisci Vietae Fontenaeensis in artem analyticem isagoge. Ejusdem ad logisticem speciosam Notae priors. Paris, Baudry, 1631, in 12, 233 p.
o    In Artem Analyticien Isagoge (Introduction to the art of analysis), considered as the founding text of the analysis (in contrast to the summary).

"Francisci Vietae-in artem analyticem isagoge"               (Fr/T + "-ançois Viète's work"/S)                 "François Viète's work"
"In Artem Analyticien Isagoge"               (Fr/P + "-ançois Viète's work"/S)                 "François Viète's work"

* "Francisci Vietae-in artem analyticem isagoge"  >>  ("Tours, Mettayer" /T)/C2  >>  ("1591.9" /T/Ch)/C2  >>  ("fol-Francisci Vietae Fontenaeensis in artem analyticem isagoge" /P)/C2  >>  ("Ejusdem ad logisticem speciosam Notae priors" /P/Ch)/C2  >>  ("Paris, Baudry" /S)/C2  >>  ("1631" /S/Ch)/C2  >>  ("in 12" /GC/S/abT)/C2

•    Francisci Vietae Zeteticorum libri quinque. Tours, Mettayer, folio 24, which are the five books of Zetetic. This is a collection of problems from Diophantus, and solved using the analytical art.

"Francisci Vietae Zeteticorum libri quinque"               (Fr/T + "-ançois Viète's work"/C2)                 "François Viète's work"

* "Francisci Vietae Zeteticorum libri quinque"  >>  ("Tours, Mettayer" /T)/C2  >>  ("folio 24" /T/Ch)/C2

•    Effectionum geometricarum canonica recensio. Sd, fol 7. Undated.

"Effectionum geometricarum canonica recensio"               (Fr/S + "-ançois Viète's work"/GC/S/abT)                 "François Viète's work"

* "Effectionum geometricarum canonica recensio"  >>  ("SD" /T)/C2  >>  (fol /T/Ch)/C2  >>  (seven /P)/C2  >>  (Undated /P/Ch)/C2

•    In 1593, Vietae Supplementum geometriae. Tours Francisci, 21 fol.

"In 1593, Vietae Supplementum geometriae"               (Fr/C2 + "-ançois Viète's work"/P)                 "François Viète's work"

* "In 1593, Vietae Supplementum geometriae"  >>  ("Tours Francisci" /T)/C2  >>  ("21" /T/Ch)/C2  >>  (fol /P)/C2

The same year:
•    Francisci Vietae Variorum de rebus responsorum mathematics liber VIII. Tours, Mettayer, 1593, 49 fol about the challenges of Scaliger. The following year, he will give the same against Scaliger: Munimen adversus nova cyclometrica. Paris, Mettayer, in 4, 8 fol.

"Francisci Vietae Variorum de rebus responsorum mathematics liber VIII"               (Fr/C2 + "-ançois Viète's work"/T)                 "François Viète's work"

* "Francisci Vietae Variorum de rebus responsorum mathematics liber VIII"  >>  ("Tours, Mettayer" /T)/C2  >>  ("1593" /T/Ch)/C2  >>  ("49 fol" /P)/C2

"Munimen adversus nova cyclometrica"                  (Fr/GC/S/Ch/abT + "-ançois Viète's work"/S)                 "François Viète's work"

* "Munimen adversus nova cyclometrica "  >>  ("Paris, Mettayer" /T)/C2  >>  ("in 4, 8" /T/Ch)/C2  >>  ("fo" /P)/C2

•    The Eighth Book of the varied responses, in which he talks about the problems of the trisection of the angle (which he acknowledges that it is bound to an equation of third degree) of squaring the circle, building the regular heptagon, etc.

"Eighth Book of the varied responses"               (Fr/C2 + "-ançois Viète's work"/P)/Ch                 "François Viète's work"


>>      In 1595: Ad mathematics problema quod omnibus totius orbis construendum proposuit Adrianus Romanus, Vietae responsum Francisci. Paris, Mettayer, in 4, 16 fol; text about the Adriaan van Roomen problem.

"In 1595: Ad mathematics problema quod omnibus totius orbis construendum proposuit Adrianus Romanus, Vietae responsum Francisci"               (Fr/C2 + "-ançois Viète's work"/GC/S/Ch/abT)/Ch                 "François Viète's work"

* "In 1595: Ad mathematics problema quod omnibus totius orbis construendum proposuit Adrianus Romanus, Vietae responsum Francisci"  >>  ("Paris, Mettayer" /T)/C2  >>  ("in 4, 16" /T/Ch)/C2  >>  ("fol" /P)/C2  >>  ("text about Adriaan van Roomen problem" /P/Ch)/C2


>>      In 1600, numbers potestatum ad exegesim resolutioner. Paris, Le Clerc, 36 fol; work that provided the means for extracting roots and solutions of equations of degree at most 6.

"In 1600, numbers potestatum ad exegesim resolutioner"               (Fr/S + "-ançois Viète's work"/GC/S/Ch/abT)/Ch                 "François Viète's work"

* "In 1600, numbers potestatum ad exegesim resolutioner"  >>  ("Paris, Le Clerc" /T)/C2  >>  ("36" /T/Ch)/C2  >>  ("fol" /P)/C2  >>  ("work that provided means for extracting roots and solutions of equations of degree at most 6" /P/Ch)/C2


>>      Francisci Vietae Apollonius Gallus. Paris, Le Clerc, in 4, 13 fol., where he referred to himself as the French Apollonius.

"Francisci Vietae Apollonius Gallus"               (Fr/P + "-ançois Viète's work"/GC/S/Ch/abT)/Ch                 "François Viète's work"

* "Francisci Vietae Apollonius Gallus"  >>  ("Paris, Le Clerc" /T)/C2  >>  ("in 4, 13" /T/Ch)/C2  >>  ("fol" /P)/C2  >>  ("where he referred to himself as French Apollonius" /P/Ch)/C2


>>      In 1602, Francisci Vietae Fontenaeensis libellorum supplicum Regia magistri in relatio Kalendarii Gregorian vere ad ecclesiasticos doctores exhibits Pontifici Maximi Clementi VIII. Anno Christi I600 jubilaeo. Paris, Mettayer, in 4, fol 40

" In 1602, Francisci Vietae Fontenaeensis libellorum supplicum Regia magistri in relatio Kalendarii Gregorian vere ad ecclesiasticos doctores exhibits Pontifici Maximi Clementi VIII"               (Fr/T + "-ançois Viète's work"/GC/S/Ch/abT)/Ch                 "François Viète's work"

* "In 1602, Francisci Vietae Fontenaeensis libellorum supplicum Regia magistri in relatio Kalendarii Gregorian vere ad ecclesiasticos doctores exhibits Pontifici Maximi Clementi VIII"  >>  ("Christi I600 jubilaeo. Paris, Mettayer" /T)/C2  >>  ("in 4" /T/Ch)/C2  >>  ("fol" /P)/C2  >>  ("40" /P/Ch)/C2


>>      Francisci and Vietae adversus Christophorum Clavium expostulatio. Paris, Mettayer, in 4, 8 p exposing his theses against Clavius.

" Francisci and Vietae adversus Christophorum Clavium expostulatio"               (Fr/S + "-ançois Viète's work"/C2)/Ch                 "François Viète's work"

* "Francisci and Vietae adversus Christophorum Clavium expostulatio"  >>  ("Paris, Mettayer" /T)/C2  >>  ("in 4" /T/Ch)/C2  >>  ("8 p" /P)/C2  >>  ("exposing his theses against Clavius" /P/Ch)/C2



William Oughtred
http://encyclopedia.thefreedictionary.com/William+Oughtred ,  

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P

Born                   5 March 1575(1575-03-05)                 Eton, Buckinghamshire, England
Died              30 June 1660(1660-06-30) (aged 85)                  Albury, Surrey, England

"1575"                    (W/S + "-illiam Oughtred"/C2)/+bp                   "William Oughtred"
March                     (W/S + "-illiam Oughtred"/C2)/+cp                   "William Oughtred"
"5th"                   (W/S + "-illiam Oughtred"/C2)/Ch/+bp                   "William Oughtred"
"Eton, Buckinghamshire, England"                   (W/S + "-illiam Oughtred"/C2)/Ch/+cp                   "William Oughtred"

"1660"                  (W/GC/S/Ch/abT + "-illiam Oughtred"/C2)/+bp                  "William Oughtred"
June                  (W/GC/S/Ch/abT + "-illiam Oughtred"/C2)/+cp                  "William Oughtred"
"30th"                  (W/GC/S/Ch/abT + "-illiam Oughtred"/C2)/Ch/+bp                  "William Oughtred"
"Albury, Surrey, England"                  (W/GC/S/Ch/abT + "-illiam Oughtred"/C2)/Ch/+cp                  "William Oughtred"

*                 ("William Oughtred" /C2/Ch)/P  >>  Oughtred /T

>>            he is credited as the inventor of the slide rule in 1622

"inventor of slide rule"                    ([ŋ=  w=]/P + Oughtred/S)                    Oughtred
"1622"                           ([ŋ=  w=]/P + Oughtred/S)/Ch                         Oughtred

>>          Oughtred also introduced the "×" symbol for multiplication as well as the abbreviations "sin" and "cos" for the sine and cosine functions.

"x [eg  s=]"                    (m/GC/S/Ch/abT + ultiplication/C2)                   multiplication
Oughtred                    (m/GC/S/Ch/abT + ultiplication/C2)/Ch                   multiplication

sin                                        (s/P + ine/S)                                        sine
Oughtred                                 (s/P + ine/S)/Ch                                     sine

cos                                       (c/P + osine/S)                                     cosine
Oughtred                                 (c/P + osine/S)/Ch                                 cosine

>>          Elias Ashmole
http://encyclopedia.thefreedictionary.com/Elias+Ashmole ,  

*                 ("William Oughtred" /C2/Ch)/P  >>  ("Elias Ashmole" /S)/C2

>>      Oughtred's name has been mentioned in purported histories of early freemasonry, a suggestion that Oughtred was present at Ashmole's 1646 initiation going back to Thomas De Quincey.
http://encyclopedia.thefreedictionary.com/Thomas+De+Quincey ,    

*          ("William Oughtred" /C2/Ch)/P  >>  ("Elias Ashmole" /S)/C2  >>  ("De Quincey" /S/Ch)/C2

>>      He expressed millenarian views to John Evelyn, as recorded in Evelyn's diary entry for 28 August, 1655.
http://encyclopedia.thefreedictionary.com/John+Evelyn ,  

*          ("William Oughtred" /C2/Ch)/P  >>  ("Elias Ashmole" /S)/C2  >>  ("De Quincey" /S/Ch)/C2  >>  ("John Evelyn" /GC/S/Ch/abT)/C2


>>      Works
Books

>>       Clavis Mathematicae (The Key to Mathematics), in 1631.

"Clavis Mathematicae"              (W/GC/S/Ch/abT + "-illiam Oughtred s writing"/C2)               "William Oughtred's writing"

*        "Clavis Mathematicae"  >>  ("1631" /C2)/T

>>      but also the proportion sign (double colon ::).

"double colon"                            (pr/P + oportion/S)                            proportion
Oughtred                               (pr/P + oportion/S)/Ch                           proportion

>>      Other works were a treatise on navigation entitled Circles of Proportion, in 1632, and a book on trigonometry and dialling, and his Opuscula Mathematica, published posthumously in 1676.

"Circles of Proportion"              (W/T + "-illiam Oughtred s writing"/C2)               "William Oughtred's writing"

*        "Circles of Proportion"  >>  ("1632" /C2)/T  >>  ("treatise on navigation" /C2/Ch)/T

"book on trigonometry and dialling"              (W/C2 + "-illiam Oughtred's writing"/GC/S/Ch/abT)               "William Oughtred's writing"

*        "book on trigonometry and dialling"  >>  ("1676" /C2)/T

"Opuscula Mathematica"              (W/GC/S/Ch/abT + "-illiam Oughtred's writing"/S)               "William Oughtred's writing"

*        "Opuscula Mathematica"  >>  ("1676" /C2)/T

>>     He invented a universal equinoctial ring dial of two rings.[19]

"universal equinoctial ring dial of two rings"              (W/C2 + "-illiam Oughtred"/GC/S/Ch/abT)               "William Oughtred"

•    Clavis Mathematicae (1631) further Latin editions 1648, 1652, 1667, 1693; first English edition 1647.

"Clavis Mathematicae"              (W/GC/S/Ch/abT + "-illiam Oughtred s writing"/C2)               "William Oughtred's writing"

* "Clavis Mathematicae"  >>  ("1631" /C2)/T  >>  ("further Latin editions" /C2/Ch)/T  >>  ("1648" /C2)/S  >>  ("1652" /C2/Ch)/S  >>  ("1667" /C2)/GC/S/Ch/abT >>  ("1693" /C2/Ch)/GC/S/Ch/abT  >>  ("first English edition" /C2)/T  >>  ("1647" /C2/Ch)/T

•    Circles of Proportion and the Horizontal Instrument (1632); this was edited by his pupil, William Forster.[20]

"Circles of Proportion"              (W/T + "-illiam Oughtred s writing"/C2)               "William Oughtred's writing"

*        "Circles of Proportion"  >>  ("1632" /C2)/T  >>  ("treatise on navigation" /C2/Ch)/T  >>  ("Horizontal Instrument" /C2)/T  >>  ("edited by his pupil, William Forster" /C1/Ch)/T

•    Trigonometria with Canones sinuum (1657).

"book on trigonometry and dialling"              (W/C2 + "-illiam Oughtred's writing"/GC/S/Ch/abT)               "William Oughtred's writing"

* "book on trigonometry and dialling"  >>  ("1676" /C2)/T  >>  ("Trigonometria with Canones sinuum" /C2/Ch)/T  >>  ("1657" /C2)/S

>>      A short description The description and use of the double Horizontall Dyall (16 pages) was added to a 1653 edition (in English translation) of the pioneer book on recreational mathematics, Récréations Mathématiques (1624) by Hendrik van Etten and Jean Leurechon. That translation itself is no longer attributed to Oughtred, but (probably) to Francis Malthus.

"description and use of double Horizontall Dyall"              (W/GC/S/Ch/abT + "-illiam Oughtred's writing"/T)               "William Oughtred's writing"

* "description and use of double Horizontall Dyall"  >>  ("16 pages" /C2)/T  >>  ("1653" /C2/Ch)/T  >>  ("edition in English translation" /C2)/S  >>  ("Récréations Mathématiques" /C2/Ch)/S  >>  ("1624" /C2)/GC/S/Ch/abT >>  ("Hendrik van Etten and Jean Leurechon" /C2/Ch)/GC/S/Ch/abT  >>  (translation /C2)/T  >>  ("Francis Malthus" /C2/Ch)/T



William Holder
http://encyclopedia.thefreedictionary.com/William+Holder ,  

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P


Alexander Popham
http://encyclopedia.thefreedictionary.com/Alexander+Popham ,  

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P

"Alexander Popham"               (W/C2 + "-illiam Holder"/P)                "William Holder"



Blaise Pascal
http://encyclopedia.thefreedictionary.com/Blaise+Pascal ,    

* "John Wallis"  >>  "John Brehaut Wallis" /P  >>  ("François Viète" /T/Ch)/P  >>  ("William Holder" /C2)/P  >>  ("William Oughtred" /C2/Ch)/P  >>  ("number line" /T/Ch)/GC/S/abT  >>  ("Blaise Pascal" /T)/GC/S/abT

*            ("Blaise Pascal" /T)/GC/S/abT  >>  Pascal /T

Full name                  Blaise Pascal
Born                       June 19, 1623(1623-06-19)                 Clermont-Ferrand, France
Died                August 19, 1662(1662-08-19) (aged 39)                       Paris, France

"1623"                        (Bl/T + "-aise Pascal"/C2)/+bp                         "Blaise Pascal"
June                          (Bl/T + "-aise Pascal"/C2)/+cp                         "Blaise Pascal"
"19th"                      (Bl/T + "-aise Pascal"/C2)/Ch/+bp                       "Blaise Pascal"
"Clermont-Ferrand, France"                 (Bl/T + "-aise Pascal"/C2)/Ch/+cp                "Blaise Pascal"

"1662"                        (Bl/P + "-aise Pascal"/C2)/+bp                         "Blaise Pascal"
August                        (Bl/P + "-aise Pascal"/C2)/+cp                         "Blaise Pascal"
"19th"                       (Bl/P + "-aise Pascal"/C2)/Ch/+bp                      "Blaise Pascal"
"Paris, France"                  (Bl/P + "-aise Pascal"/C2)/Ch/+bp                   "Blaise Pascal"

>>         allowed to sit in as a silent on-looker at the gatherings of some of the greatest mathematicians and scientists in Europe—such as Roberval, Desargues, Mydorge, Gassendi, and Descartes—in the monastic cell of Père Mersenne.

*     "Blaise Pascal"  >>  (Roberval /P)/C2  >>  (Desargues /T)/C2  >>  (Mydorge /S)/C2  >>  (Gassendi /GC/S/abT)/C2

http://encyclopedia.thefreedictionary.com/Gilles+de+Roberval ,    
*          (Roberval /P)/C2  >> "Gilles de Roberval" /C2

http://encyclopedia.thefreedictionary.com/Desargues ,  
*          (Desargues /T)/C2  >>  "Gérard Desargues" /C2  >>  "Girard Desargues" /C2/Ch

http://encyclopedia.thefreedictionary.com/Mydorge ,  
*          (Mydorge /S)/C2  >>  "Claude Mydorge" /C2

http://encyclopedia.thefreedictionary.com/Pierre+Gassendi ,  
*          (Gassendi /GC/S/abT)/C2  >>  "Pierre Gassendi" /C2


*          Descartes  >>  ("Père Mersenne" /GC/S/abT)/C2

http://encyclopedia.thefreedictionary.com/Marin+Mersenne ,    
*      ("Père Mersenne" /GC/S/abT)/C2  >>  "Marin Mersenne" /P  >>  "Marin Mersennus" /C2


>>        a short treatise on what was called the "Mystic Hexagram",   Essai pour les coniques ("Essay on Conics") ; it is known still today as Pascal's theorem

"Essai pour coniques"                (B/GC/S/abT + "-laise Pascal's work"/P)                 "Blaise Pascal's work"

*        "Essai pour les coniques"  >>  "Mystic Hexagram" /GC/S/abT  >>  ("Pascal's theorem" /S)/GC/S/abT


>>       His Traité du triangle arithmétique ("Treatise on the Arithmetical Triangle") of 1653 described a convenient tabular presentation for binomial coefficients, now called Pascal's triangle.

"Traité du triangle arithmétique"                (B/C2 + "-laise Pascal's work"/P)                 "Blaise Pascal's work"


>>       De l'Esprit géométrique ("Of the Geometrical Spirit"), originally written as a preface to a geometry textbook for one of the famous "Petites-Ecoles de Port-Royal" ("Little Schools of Port-Royal").

"De Esprit géométrique"                (B/C1 + "-laise Pascal's work"/P)                 "Blaise Pascal's work"

"De Esprit géométrique"                  ([ŋ=  w=]/C1 + Odyssey/P)                   Odyssey

*        "De Esprit géométrique"  >>  "Petites-Ecoles de Port-Royal" /P  >>  preface /P/Ch


>>       De l'Art de persuader     ("On the Art of Persuasion")

"De Art de persuader"                (Bl/C1 + "-aise Pascal's work"/GC/S/abT)                 "Blaise Pascal's work"

>>      in 1647 Pascal produced Experiences nouvelles touchant le vide ("New Experiments with the Vacuum"),

"Experiences nouvelles touchant vide"                (Bl/T + "-aise Pascal's work"/S)                 "Blaise Pascal's work"

>>         Florin Périer, husband of Pascal's elder sister Gilberte, was finally able to carry out the fact finding mission vital to Pascal's theory.

*       "Blaise Pascal"  >>  ("Florin Périer" /T)/P


>>        Pascal, in his reply to Estienne Noel,

*       "Blaise Pascal"  >>  ("Florin Périer" /T)/P  >>  ("Estienne Noel" /C2)/P

>>       Karl Popper

*       "Blaise Pascal"  >>  ("Florin Périer" /T)/P  >>  ("Estienne Noel" /C2)/P  >>  ("Karl Popper" /GC/S/abT)/P

>>   Pascal introduced a primitive form of roulette and the roulette wheel in the 17th century
http://encyclopedia.thefreedictionary.com/Roulette ,  
Roulette (sometimes known as 'rulet') is a casino game named after a French diminutive for "little wheel". In the game

roulette                                         (wh/T + eel"/S)                              wheel


>>     Lettres provinciales
http://encyclopedia.thefreedictionary.com/Lettres+provinciales ,  
The Lettres provinciales (Provincial letters) are a series of eighteen letters written by French philosopher and theologian Blaise Pascal under the pseudonym Louis de Montalte.

"Lettres provinciales"                (Bl/T + "-aise Pascal's work"/C2)                 "Blaise Pascal's work"

"Lettres provinciales"                     ([ŋ=  y=]/T + Iliad/C2)                        Iliad


>>              Pensées ("Thoughts")

Pensées                    (Bl/T + "-aise Pascal's work"/P)                    "Blaise Pascal's work"

Pensées                   (D/T + "-e Esprit géométrique"/P)                  "De Esprit géométrique"

>>       original title Apologie de la religion Chrétienne ("Defense of the Christian Religion").

*                Pensées  >>  "Apologie de religion Chrétienne" /C2

>>       The first version of the detached notes appeared in print as a book in 1670 titled Pensées de M. Pascal sur la religion, et sur quelques autres sujets ("Thoughts of M. Pascal on religion, and on some other subjects") and soon thereafter became a classic.

* Pensées  >>  "Apologie de religion Chrétienne" /C2  >>  ("Pensées de M. Pascal sur religion, et sur quelques autres sujets" /P)/GC/S/abT

>>         Écrit sur la signature du formulaire ("Writ on the Signing of the Form")

"Écrit sur signature du formulaire"                 (B/S + "-laise Pascal's work"/C2)                  "Blaise Pascal's work"



>>     Phonetic correspondence   between Blaise Pascal's "Lettres provinciales"    and Homer's Iliad

"Lettres provinciales"                (Bl/T + "-aise Pascal's work"/C2)                 "Blaise Pascal's work"
"Lettres provinciales"                     ([ŋ=  y=]/T + Iliad/C2)                        Iliad


http://ebooks.adelaide.edu.au/p/pascal/blaise/ ,  
http://ebooks.adelaide.edu.au/p/pascal/blaise/p27pr/complete.html ,  

The Provincial Letters
by
Blaise Pascal
translated by Thomas M’Crie
eBooks@Adelaide
2010

Table of Contents
Letter I
Letter II
Reply of the “provincial” to the First Two Letters of His Friend
Letter III
Letter IV
Letter V
Letter VI
Letter VII
Letter VIII
Letter IX
Letter X
Letter XI
Letter XII
Letter XIII
Letter XIV
Letter XV
Letter XVI
Letter XVII
Letter XVIII
Letter XIX Fragment of a Nineteenth Provincial Letter,

Letter I
Paris, January 23, 1656

SIR,

We were entirely mistaken. It was only yesterday that I was undeceived. Until that time I had laboured under the impression that the disputes in the Sorbonne were vastly important, and deeply affected the interests of religion. The frequent convocations of an assembly so illustrious as that of the Theological Faculty of Paris, attended by so many extraordinary and unprecedented circumstances, led one to form such high expectations that it was impossible to help coming to the conclusion that the subject was most extraordinary. You will be greatly surprised, however, when you learn from the following account the issue of this grand demonstration, which, having made myself perfectly master of the subject, I shall be able to tell you in very few words.

Two questions, then, were brought under examination; the one a question of fact, the other a question of right.

The question of fact consisted in ascertaining whether M. Arnauld was guilty of presumption, ~ ~


Iliad

CONTENTS.
BOOK I. II. III. IV. V. VI. VII. VIII. IX. X. XI. XII.
BOOK XIII. XIV. XV. XVI. XVII. XVIII. XIX. XX. XXI. XXII. XXIII. XXIV.

http://www.gutenberg.org/files/16452/16452-h/16452-h.htm ,  
BOOK I.

Achilles sing, O Goddess! Peleus' son;
His wrath pernicious, who ten thousand woes
Caused to Achaia's host, sent many a soul
Illustrious into Ades premature,
And Heroes gave (so stood the will of Jove)5
To dogs and to all ravening fowls a prey,
When fierce dispute had separated once
The noble Chief Achilles from the son
Of Atreus, Agamemnon, King of men.

Who them to strife impell'd? What power divine?10
Latona's son and Jove's.[1] For he, incensed
004 Against the King, a foul contagion raised
In all the host, and multitudes destroy'd,
For that the son of Atreus had his priest
Dishonored, Chryses. To the fleet he came15
Bearing rich ransom glorious to redeem
His daughter, and his hands charged with the wreath
And golden sceptre[2] of the God shaft-arm'd. ~ ~



"Letter I/one"                           (B/T + "-OOK I"/C2)                         "BOOK I/one"

"Letter II"                               (B/T + "-OOK II"/C2)                           "BOOK II"
"Reply of “provincial” to First Two Letters of His Friend"                (B/T + "-OOK II"/C2)/Ch                "BOOK II"

"Letter III"                              (B/T + "-OOK III"/C2)                          "BOOK III"
"Letter IV"                               (B/T + "-OOK IV"/C2)                           "BOOK IV"
"Letter V"                               (B/T + "-OOK V"/C2)                           "BOOK V"
~
"Letter XVIII"                         (B/T + "-OOK XVIII"/C2)                        "BOOK XVIII"

"Letter XIX"                            (B/T + "-OOK XIX"/C2)                          "BOOK XIX"
"Fragment of Nineteenth Provincial Letter"                 (B/T + "-OOK XIX"/C2)/Ch                "BOOK XIX"

1.
Paris                        ([ŋ=  w=]/T + "Achilles sing"/C2)                        "Achilles sing"

2.
"January 23"                     ([ŋ=  w=]/T + "O Goddess"/C2)                      "O Goddess"

3.
"1656"                                (P/T + "-eleus' son"/C2)                         "Peleus' son"

4.
SIR                      (H/T + "-is wrath pernicious"/C2)                    "His wrath pernicious"

5.
"We were entirely mistaken"                  (wh/T + "-o ten thousand woes Caused to Achaia's host"/C2)                  "who ten thousand woes Caused to Achaia's host"

6.         sent many a soul Illustrious into Ades premature

"It was only yesterday that I was undeceived"                  (s/T + "-ent many soul Illustrious into Ades premature"/C2)                  "sent many soul Illustrious into Ades premature"

7. Until that time I had laboured under the impression that the disputes in the Sorbonne were vastly important

"Until that time I had laboured under impression that disputes in Sorbonne were vastly important"                  ([ŋ=  w=]/T + "And Heroes gave"/C2)                "And Heroes gave"

8.          so stood the will of Jove --- and deeply affected the interests of religion

"and deeply affected interests of religion"                  (s/T + "-o stood will of Jove"/C2)                  "so stood will of Jove"

9. To dogs and to all ravening fowls a prey --- The frequent convocations of an assembly so illustrious as that of the Theological Faculty of Paris

"frequent convocations of assembly so illustrious as that of Theological Faculty of Paris"                  (T/T + "-o dogs and to all ravening fowls prey"/C2)                  "To dogs and to all ravening fowls prey"

10. When fierce dispute had separated once The noble Chief Achilles from the son Of Atreus

"attended by so many extraordinary and unprecedented circumstances"                  (Wh/T + "-en fierce dispute had separated once noble Chief Achilles from son Of Atreus"/C2)                  "When fierce dispute had separated once noble Chief Achilles from son Of Atreus"

11. led one to form such high expectations that it was impossible to help coming to the conclusion that the subject was most extraordinary

"led one to form such high expectations that it was impossible to help coming to conclusion that subject was most extraordinary"                  ([ŋ=  w=]/T + Agamemnon/C2)                  Agamemnon

12.
"You will be greatly surprised"                  (K/T + "-ing of men"/C2)                  "King of men"

13.
however                   (Wh/T + "-o them to strife impell'd"/C2)                  "Who them to strife impell'd"

14.            when you learn from the following account the issue of this grand demonstration

"when you learn from following account issue of this grand demonstration"                  (Wh/T + "-at power divine"/C2)                  "What power divine"

15.
which                  (L/T + "-atona's son and Jove's"/C2)                  "Latona's son and Jove's"

16.               having made myself perfectly master of the subject

"having made myself perfectly master of subject"                  (F/T + "-or he"/C2)                  "For he"

17.              incensed Against the King

"I shall be able to tell you in very few words"                  ([ŋ=  y=]/T + "incensed Against King"/C2)                  "incensed Against King"

18.               a foul contagion raised In all the host

"Two questions"                  (f/T + "-oul contagion raised In all host"/C2)                  "foul contagion raised In all host"

19.
then                  ([ŋ=  w=]/T + "and multitudes destroy'd"/C2)                  "and multitudes destroy'd"

20.        For that the son of Atreus had his priest Dishonored

"were brought under examination"                  (F/T + "-or that son of Atreus had his priest Dishonored"/C2)                  "For that son of Atreus had his priest Dishonored"

21.               the one a question of fact

"one question of fact"                         (Chrys/T + es/C2)                         Chryses

22. To the fleet he came15 Bearing rich ransom glorious to redeem His daughter --- the other a question of right

"other question of right"                  (T/T + "-o fleet he came Bearing rich ransom glorious to redeem His daughter"/C2)                  "To fleet he came Bearing rich ransom glorious to redeem His daughter"

23. and his hands charged with the wreath And golden sceptre[2] of the God shaft-arm'd --- The question of fact consisted in ascertaining whether M. Arnauld was guilty of presumption

"question of fact consisted in ascertaining whether M. Arnauld was guilty of presumption"                  ([ŋ=  w=]/T + "and his hands charged with wreath And golden sceptre of God shaft-arm'd"/C2)                  "and his hands charged with wreath And golden sceptre of God shaft-arm'd"

Et cetera.



>>     Phonetic correspondence   between Blaise Pascal's "De Esprit géométrique"    and Homer's Odyssey



"De Esprit géométrique"                (B/C1 + "-laise Pascal's work"/P)                 "Blaise Pascal's work"

"De Esprit géométrique"                  ([ŋ=  w=]/C1 + Odyssey/P)                   Odyssey


http://ebooks.adelaide.edu.au/p/pascal/blaise/geom/complete.html ,  

Of the Geometrical Spirit
by
Blaise Pascal
Translated by O.W. Wright
eBooks@Adelaide
2009

Minor Works. The Harvard Classics. 1909–14.

Of the Geometrical Spirit
WE may have three principal objects in the study of truth: one to discover it when it is sought; another to demonstrate it when it is possessed; and a third, to discriminate it from the false when it is examined.

I do not speak of the first; I treat particularly of the second, and it includes the third. For if we know the method of proving the truth, we shall have, at the same time, that of discriminating it, since, in examining whether the proof that is given of it is in conformity with the rules that are understood, we shall know whether it is exactly demonstrated.

Geometry, which excels in these three methods, has explained the art of discovering unknown truths; this it is which is called analysis, and of which it would be useless to discourse after the many excellent works that have been written on it.

That of demonstrating truths already found, ~ ~


http://www.gutenberg.org/ebooks/26275 ,  
http://www.gutenberg.org/files/26275/ ,  
http://www.gutenberg.org/files/26275/26275-8.txt ,  

By Denton J. Snider,    Denton Jaques Snider
I.
The Goddess Pallas has already come down to Ithaca and stands among the
suitors. She has taken the form of Mentes, the King of a neighboring
tribe; she is in disguise as she usually is when she appears on earth.
Who will recognize her? Not the suitors; they can see no God in their
condition, least of all, the Goddess of Wisdom. "Telemachus was much
the first to observe her;" why just he? The fact is he was ready to see
her, and not only to see her, but to hear what she had to say. "For he
sat among the suitors grieved in heart, seeing his father in his mind's
eye," like Hamlet just before the latter saw the ghost. So careful is
the poet to prepare both sides--the divine epiphany, and the mortal who
is to behold it. ~ ~

"De Esprit géométrique"                  ([ŋ=  w=]/C1 + Odyssey/P)                   Odyssey

1.               WE may have three principal objects in the study of truth

"WE may have three principal objects in study of truth"                  (B/C1 + "-ook first"/P)                   "Book first"

2.            The Goddess Pallas has already come down to Ithaca and stands among the suitors

"one to discover it when it is sought"                  (G/C1 + "-oddess Pallas has already come down to Ithaca and stands among suitors"/P)                   "Goddess Pallas has already come down to Ithaca and stands among suitors"

3.                  She has taken the form of Mentes

"another to demonstrate it when it is possessed"                  (Sh/C1 + "-e has taken form of Mentes"/P)                   "She has taken form of Mentes"

4.             the King of a neighboring tribe

"and third"                  (K/C1 + "-ing of neighboring tribe"/P)                   "King of neighboring tribe"

5.               to discriminate it from the false when it is examined

"to discriminate it from false when it is examined"                  (sh/C1 + "-e is in disguise as she usually is when she appears on earth"/P)                   "she is in disguise as she usually is when she appears on earth"

6.               I do not speak of the first

"I do not speak of first"                  (Wh/C1 + "-o will recognize her"/P)                   "Who will recognize her"

7.               Not the suitors --- I treat particularly of the second

"I treat particularly of second"                  (N/C1 + "-ot suitors"/P)                   "Not suitors"

8.                   and it includes the third

"and it includes third"                  (th/C1 + "-ey can see no God in their condition"/P)                   "they can see no God in their condition"

9.                  For if we know the method of proving the truth

"For if we know method of proving truth"                  (l/C1 + "-east of all"/P)                   "least of all"

10.                the Goddess of Wisdom

"we shall have"                  (G/C1 + "oddess of Wisdom"/P)                   "Goddess of Wisdom"

11.             Telemachus was much the first to observe her --- at the same time

"at same time"                  (T/C1 + "-elemachus was much first to observe her"/P)                   "Telemachus was much first to observe her"

12.
"that of discriminating it"                   (why /C1 + "just he"/P)                   "why just he"

13.          The fact is he was ready to see her

since                  (f/C1 + "-act is he was ready to see her"/P)                   "fact is he was ready to see her"

14.      in examining whether the proof that is given of it is in conformity with the rules that are understood

"in examining whether proof that is given of it is in conformity with rules that are understood"                  ([ŋ=  w=]/C1 + "and not only to see her"/P)                   "and not only to see her"

15.
"we shall know whether it is exactly demonstrated"                  (b/C1 + "-ut to hear what she had to say"/P)                   "but to hear what she had to say"

16.              For he sat among the suitors grieved in heart

Geometry                   (F/C1 + "-or he sat among suitors grieved in heart"/P)                   "For he sat among suitors grieved in heart"

17.
"which excels in these three methods"                  (s/C1 + "-eeing his father in his mind's eye"/P)                   "seeing his father in his mind's eye"

18.    like Hamlet just before the latter saw the ghost --- has explained the art of discovering unknown truths

"has explained art of discovering unknown truths"                  (l/C1 + "-ike Hamlet just before latter saw ghost"/P)                   "like Hamlet just before latter saw ghost"

19.              So careful is the poet to prepare both sides

"this it is which is called analysis"                  (S/C1 + "-o careful is poet to prepare both sides"/P)                   "So careful is poet to prepare both sides"

20. the divine epiphany --- and of which it would be useless to discourse after the many excellent works that have been written on it

"and of which it would be useless to discourse after many excellent works that have been written on it"                  (d/C1 + "-ivine epiphany"/P)                   "divine epiphany"

21.                  and the mortal who is to behold it

"That of demonstrating truths already found"                  ([ŋ=  w=]/C1 + "and mortal who is to behold it"/P)                   "and mortal who is to behold it"

Et cetera.



>>     Phonetic correspondence   between Blaise Pascal's "De Esprit géométrique"    and Blaise Pascal's Pensées


Pensées                    (Bl/T + "-aise Pascal's work"/P)                    "Blaise Pascal's work"

Pensées                   (D/T + "-e Esprit géométrique"/P)                  "De Esprit géométrique"


http://ebooks.adelaide.edu.au/p/pascal/blaise/p27pe/complete.html ,  

Pensées
by
Blaise Pascal
translated by W. F. Trotter
eBooks@Adelaide
2009


Section i
Thoughts on Mind and on Style
1. The difference between the mathematical and the intuitive mind.— In the one, the principles are palpable, but removed from ordinary use; so that for want of habit it is difficult to turn one’s mind in that direction: but if one turns it thither ever so little, one sees the principles fully, and one must have a quite inaccurate mind who reasons wrongly from principles so plain that it is almost impossible they should escape notice.

But in the intuitive mind the principles are found in common use and are before the eyes of everybody. One has only to look, and no effort is necessary; it is only a question of good eyesight, but it must be good, for the principles are so subtle and so numerous that it is almost impossible but that some escape notice. Now the omission of one principle leads to error; thus one must have very clear sight to see all the principles and, in the next place, an accurate mind not to draw false deductions from known principles.

All mathematicians would then be intuitive if they had clear sight, ~ ~


Pensées                   (D/T + "-e Esprit géométrique"/P)                  "De Esprit géométrique"

1.            WE may have three principal objects in the study of truth

"Section i/one"                 (W/T + "-E may have three principal objects in study of truth"/P)                  "WE may have three principal objects in study of truth"

2.
"Thoughts on Mind and on Style"                 ([ŋ=  w=]/T + "one to discover it when it is sought"/P)                  "one to discover it when it is sought"

3.            The difference between the mathematical and the intuitive mind

"difference between mathematical and intuitive mind"                 ([ŋ=  w=]/T + "another to demonstrate it when it is possessed"/P)                  "another to demonstrate it when it is possessed"

4.             and a third --- In the one

"In one"                 ([ŋ=  w=]/T + "and third"/P)                  "and third"

5.             to discriminate it from the false when it is examined --- the principles are palpable

"principles are palpable"                 (t/T + "-o discriminate it from false when it is examined"/P)                  "to discriminate it from false when it is examined"

6.             I do not speak of the first

"but removed from ordinary use"                 ([ŋ=  y=]/T + "I do not speak of first"/P)                  "I do not speak of the first"

7.             I treat particularly of the second

"so that for want of habit it is difficult to turn one’s mind in that direction"                 ([ŋ=  y=]/T + "I treat particularly of second"/P)                  "I treat particularly of second"

8.             and it includes the third

"but if one turns it thither ever so little"                 ([ŋ=  w=]/T + "and it includes third"/P)                  "and it includes third"

9.             For if we know the method of proving the truth --- one sees the principles fully

"one sees principles fully"                 (F/T + "-or if we know method of proving truth"/P)                  "For if we know method of proving truth"

10. and one must have quite inaccurate mind who reasons wrongly from principles so plain that it is almost impossible they should escape notice

"and one must have quite inaccurate mind who reasons wrongly from principles so plain that it is almost impossible they should escape notice"                 (w/T + "-e shall have"/P)                  "we shall have"

11. at the same time --- But in the intuitive mind the principles are found in common use and are before the eyes of everybody

"But in intuitive mind principles are found in common use and are before eyes of everybody"                 ([ŋ=  w=]/T + "at same time"/P)                  "at same time"

12.
"One has only to look"                 (th/T + "-at of discriminating it"/P)                  "that of discriminating it"

13.
"and no effort is necessary"                          (s/T + ince/P)                           since

14. in examining whether the proof that is given of it is in conformity with the rules that are understood --- it is only a question of good eyesight

"it is only question of good eyesight"                 ([ŋ=  y=]/T + "in examining whether proof that is given of it is in conformity with rules that are understood"/P)                  "in examining whether proof that is given of it is in conformity with rules that are understood"

15.
"but it must be good"                 (w/T + "-e shall know whether it is exactly demonstrated"/P)                  "we shall know whether it is exactly demonstrated"

16. for the principles are so subtle and so numerous that it is almost impossible but that some escape notice

"for principles are so subtle and so numerous that it is almost impossible but that some escape notice"                 (G/T + eometry/P)                  Geometry

17.              Now the omission of one principle leads to error

"Now omission of one principle leads to error"                 (wh/T + "-ich excels in these three methods"/P)                  "which excels in these three methods"

18. has explained the art of discovering unknown truths --- thus one must have very clear sight to see all the principles and

"thus one must have very clear sight to see all principles and"                 (h/T + "-as explained art of discovering unknown truths"/P)                  "has explained art of discovering unknown truths"

19.                        in the next place

"in next place"                 (th/T + "-is it is which is called analysis"/P)                  "this it is which is called analysis"

20. and of which it would be useless to discourse after the many excellent works that have been written on it --- an accurate mind not to draw false deductions from known principles

"accurate mind not to draw false deductions from known principles"                 ([ŋ=  y=]/T + "and of which it would be useless to discourse after many excellent works that have been written on it"/P)                  "and of which it would be useless to discourse after many excellent works that have been written on it"

21.
"All mathematicians would then be intuitive if they had clear sight"                 (th/T + "-at of demonstrating truths already found"/P)                  "That of demonstrating truths already found"

Et cetera.

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535Simple viewBalzac,  Charles Dickens,    Leo Tolstoy,  Fyodor Dostoevsky,   Pushkin/Gogol/Gorky/Turgenev,  Anton Chekhov Y... 2011.10.12
534Simple viewJohn Dryden,  Jonathan Swift,  Alexander Pope,  William Cowper,  John Fletcher,       Walter Scott,     Stendhal Y... 2011.10.05
533Simple viewPliny the Younger,  Petronius, Tacitus,     Martial,  Silius Italicus, Quintilian,     Seneca,   William Lisle Bowles Y... 2011.09.29
532Simple viewSamuel Taylor Coleridge,  William Wordsworth,  Emerson,    Virgil/Ovid/Horace/Statius,   Suetonius,  Juvenal Y... 2011.09.26
531Simple viewAugust Bebel,  Herbert Spencer,            Charles Darwin,        Jean-Baptiste Lamarck,     Thomas Henry Huxley Y... 2011.09.23
530Simple viewEdmund Spenser, Franz Liszt,  Victor Hugo, Alphonse de Lamartine, Heinrich Heine,  Karl Marx, Friedrich Engels Y... 2011.09.17
529Simple viewLilly/Tasso, James Henry Leigh Hunt, Samuel Daniel, Martha Foote Crow, Claudio Monteverdi,  Richard Wagner Y... 2011.09.04
528Simple viewRobert Herrick, Samuel Pepys, William Caxton, Henry B. Wheatley, Swinburne, Christina Rossetti,   Vampyre Y... 2011.09.01
527Simple viewHeinrich Bullinger,  Johannes Brenz,  Georg Joachim Rheticus,  Philipp Melanchthon,  William Alabaster Y... 2011.09.01
526Simple viewPetrus Ramus,  Theodore Beza,  Philip Schaff,  Joachim Westphal,  François Hotman,  'The Right to Heresy' Y... 2011.08.07
525Simple viewAdam Smith,  Cassius Dio,    Stephanus,  William Smith,  Pausanias,  Marcus Aurelius, Diogenes Laërtius Y... 2011.08.03
524Simple view>> Corrected                                <Moralia> Y... 2011.08.31
523Simple viewTorricelli, Bernoulli, 'Jean le Rond d'Alembert', Diderot, 'Ephraim Chambers', 'Pierre Bayle', 'Laurence Sterne' Y... 2011.07.26
522Simple view>> Corrected                                <Iliad> Y... 2011.08.19
521Now readingHero/Vitruvius Apollonius/Diophantus/Theon,       d'Aguilon, 'John Aubrey', 'François Viète', Oughtred/Pascal Y... 2011.07.21
520Simple viewCusa/Nunes/Vesalius/Borelli, 'de Vere', Stanley,  Vinci/Michelangelo/Raphael, 'Luca Pacioli',   Vasari/Alberti Y... 2011.07.12
519Simple view>> Corrected                                <Iliad> Y... 2011.08.24
518Simple viewGuicciardini, 'Pico della Mirandola', Frisius*, Nostradamus, 'Sir Philip Sidney', Milton/Chaucer/Boiardo/Cardano Y... 2011.07.05
517Simple view>> Corrected                                <Iliad> Y... 2011.08.19
516Simple viewShelley/Keats/Byron/Castelli/Orta/Wycliffe/Huss,  'Mary Sidney',  Baïf/Montaigne/Buchanan, 'Marie de Gournay' Y... 2011.07.01
515Simple view>> Corrected                                <Iliad> Y... 2011.08.19
514Simple viewMarlowe/Nashe/Chapman, 'Ben Jonson', 'Beaumont & Fletcher', Marston/Fleay/Glapthorne/Warburton/Brome Y... 2011.06.24
513Simple viewVarro/Catullus/Livy/Sallust,   Ovid/Apuleius/Horace/Lucretius,      Calvin/Servetus/Zwingli/Cranmer/Luther Y... 2011.06.19
512Simple viewSavonarola/Colet/Erasmus/Loyola/Ficino/Mirandola/Gracián/Swedenborg/Ockham/Abelard,    Latin,   'Lex Talio' Y... 2011.06.12
511Simple viewTerence/Menippus/Arcesilaus/Theophras-,  Voltaire/Maupertuis/Schiller/Winckelmann/Rochefoucauld/Cervantes Y... 2011.06.07
510Simple viewBoccaccio/Petrarch/Helvétius/Cesare/Malthus,  Say/Gresham,  Machiavelli/Telesio/Boyle/Bacon/Kepler/Brahe Y... 2011.06.04
509Simple viewHerder/Sanai/Hafez,  Dante, 'Adam Smith', 'Richard Cantillon', 'Henry More', ''Isaac Newton', Ricardo/Bentham Y... 2011.06.01
508Simple viewBerkeley, 'Giordano Bruno', Spinoza/Rousseau/Fichte/Hölderlin/Schelling, 'Jakob Böhme', Hamann/Goethe/Vigo Y... 2011.05.29
507Simple view'Thomas Hobbes' 'John Stuart Mill' 'Arthur Schopenhauer' 'Friedrich Nietzsche' Hegel/Kant/Hume/Locke/Leibniz Y... 2011.05.26
506Simple viewGalileo/Orpheus/Argonautica/Strabo,    'Augustine of Hippo', Neoplatonism/Enneads/Cicero/Anselm/Descartes Y... 2011.05.24
505Simple view                              "English    spelling/vocabulary"                   (Korean connection) Y... 2011.05.19
504Simple viewPyrrho/Galen/Avicenna/Averroes/Maimonides, 'Albertus Magnus', 'Thomas Aquinas', 'Duns Scotus', Copernicus Y... 2011.05.17
503Simple viewArchimedes/Aspasia/Euclid/Hipparchus/Hippocrates/Leonidas/Pericles/Ptolemy/Solon/Themistocles/Epicurus Y... 2011.05.14
502Simple view             Phonetic study    on   German/French   words/sentences Y... 2011.05.13
501Simple view'Milesian school'  'Seven Wonders'  Eleatics/sophism/pluralist/Cynics/Stoic/Montesquieu/Suda/eureka/Vitruvius Y... 2011.05.11
500Simple viewAeschylus/Aesop/Euripides/Hesiod,   Homer/Lucian/Menander/Pindar,  Polybius/Sappho/Sophocles, Alcibiades Y... 2011.05.11
499Simple viewThales/Anaximander/Anaximenes/Pythagoras,  Anaxagoras/Empedocles,  Antisthenes/Diogenes/Crates/Zeno Y... 2011.05.07
498Simple view'geologic era'  'Stone Age'   Yahoo/Google   'Know yourself'   introspection   'Seven Sages'   'material monism' Y... 2011.05.05
497Simple viewSocrates/Thucydides/Plutarch/Herodotus/Xenophon/Aristophanes/Plato/Aristotle/Parmenides/Democritus, etc. Y... 2011.05.04
496Simple view                           phonetic analysis on     Buddha  &  Buddhism Y... 2011.05.04
495Simple viewPhonetic analysis on   Hinduism/Veda/Sanskrit/Prakrit/Zoroaster, Manichaeism/Mani,  Bahá'í Faith, Bahá'u'lláh Y... 2011.04.29
494Simple view'net-cutting'  'country music'  'General Zod'      BC/AD  'Independence day'     BCE/CE    '(Before) Common Era' Y... 2011.04.14
493Simple view    'phonetic study on Jesus Christ  &  Moshe'             'Twelve Apostles'              'Hellenistic civilization??' Y... 2011.04.10
492Simple view           translation :           논어(論語)/공자(孔子/Confucius),               etymological analysis Y... 2011.04.08
491Simple view'論語/논어 [non  ŋΛ]  &  Old Testament'       Torah/Pentateuch         'Why Torah, Prophets, Writings, 四書五經' Y... 2011.04.05
490Simple view'lady-in-waiting'  Confucius/Mencius/Laozi/Micius  popcorn  'Generation Y/X'  'Wonder Woman'       I/you    etc. Y... 2011.04.02
489Simple viewfraction/ordinal,   'national flowers'   'Department of State'    'God bless you!'   'daylight saving time'   *BC/AD Y... 2011.03.20
488Simple view"&/and",                  italic,  ride/drive,       Morrison, Messiah/Immanuel,  succeed,     'Virgin Mary'  Joseph Y... 2011.03.15
487Simple view‘Moby-Dick’     'Coca Cola'       pronouns/4,  'Chinese carry-out'     'days of months'     'leap year (day)'   date Y... 2011.03.04
486Simple view'The Star-Spangled Banner'   &   'God Save the Queen'   &    'Land of Hope and Glory';        national anthems Y... 2011.02.10
485Simple view         'La Marseillaise'              Deutschlandlied              'National anthem of Austria' Y... 2013.05.12
484Simple view'Ask not'/America       months  'days of the week'  day/week/month/year  '(the) first'  hamburger  'Super Bowl' Y... 2011.02.09
483Simple view'passive voice'               'shoe-string budget?'  'you know'  'by the way'  'eh/well'  'blood libel'    'last supper' Y... 2011.01.14
482Simple view'Do I know you?'           'Season's Greetings'  'Auld Lang Syne'      'Christian cross,  resurrection'    'Red Cross' Y... 2011.01.08
481Simple view'Moses & Jesus Christ'            Christ/Jesus,   'Christmas card'   'Why Santa is old man'   MoU,      'Three Magi' Y... 2010.12.25
480Simple view"Shakespeare   &  Plutarch"                  'Sir Thomas More'   'G6'     oneself/myself/ourselves/etc.    ID Y... 2010.12.23
479Simple view'Why wedding dresses are white'              Halloween/제사,  denim, angel(s), eve, Ivy/steak, 'Rhode Island' Y... 2010.12.19
478Simple viewThanksgiving-day,         SantaClaus,           countries,      "silent letter??"     waffle/빈대떡/cupcake Y... 2010.11.26
477Simple view>> More considerations on  "silent letter??";     between GRECOnglish & orthodox English pronunciations Y... 2010.11.27
476Simple view"for the people, by the people, of the people"                          "I have a dream"      yes/no Y... 2010.10.10
475Simple view'it :  imp. v.??'              methinks                               Memorial/Mother's Day,    'hat trick'  franchise/may Y... 2010.06.05
474Simple view"Phonetics/linguistics  &  Bible"                                            "dirty Chinese??" Y... 2010.04.20
473Simple view'aui*Λ/o/='        exigency, need/longing, matter, pressure/force, hurry/rush, weight/postulate/concept/picture Y... 2010.04.05
472Simple view>> Corrected:                   [auiΛ]/S/mES, /S/MS;    [auio]/S/mES, /T/mES, /C1/mES;   [aui=]/P/pES Y... 2010.08.14
471Simple viewview/viewpoint, scheme/surmise/lack/economy/feature,  detail/topic,  item/issue,  point/case,  trifle/matter Y... 2010.04.05
470Simple viewaffair/terrific,  spooky/spook, dreadful/fearsome/awesome/traditional,  customary/familiar,  normal/average Y... 2010.04.05
469Simple viewusual/general,  common/routine, standard, apropos, related/relati-,  germane/cognate, tempor-, fly-by-night Y... 2010.04.05
468Simple viewpassing,  fugitive, 'short-lived', transient/ably/momentarily/amplify/stretch,  expand/wax,  augment/raise Y... 2010.04.05
467Simple viewheighten/lengthen,  embarra-/discountena-,  'show up', offend,  chagrin/vex, mortify/abash,  incarna-/personi- Y... 2010.04.05
466Simple viewrepresent/depict,  illustrate/explicate, codify, manifest, rubbish,  malign/libel,  abuse/mar, decry, blacken Y... 2010.04.05
465Simple viewsignificance/fervour/ebullience,  weight/emphasis, distillation/water/dew/perspiration/moisture/spray/bigotry Y... 2010.04.05
464Simple viewchutzpah', fight, payoff, path,  consequences/end, result(s), verdict,  upshot/event, compatible, consonant Y... 2010.04.05
463Simple viewsociable, convivial,  'dyed in the wool', universal, overall,  total/downright, worldwide,  'far-flung', entire Y... 2010.04.05
462Simple viewwhole/patient,  mild/equab-, kind/generali-/interpola-,  sophisticate/pervert, counsel/instruct,  refine/temper Y... 2010.04.05
461Simple viewhype/razzmatazz, razzle-dazzle, spotlight, play-up, write-up,  champion/uphold, develop,  defend, 'plead for' Y... 2010.04.05
460Simple viewhelp,  advocate/recommend,  puzzle/poser, problem, inconsistency, 'closed book', conundrum, fabrication Y... 2010.04.05
459Simple viewforgery/phony, lie(s), fiction, myth,  fake/counterfeit,  takings, arrest/bust,  catching/espial, trappings/bard Y... 2010.04.05
458Simple viewimprisonment/detenti-, seizure,  dignity, 'self-importa-', decorum/etiquet-,  grandeur/prominen-, proprieties Y... 2010.04.05
457Simple viewsolemnities/gravity,  majesties, 'His Honour, etc.',  destitute, 'down and out',  poor, 'bad(ly) off', 'well-off' Y... 2010.04.05
456Simple viewneedy,  short/low, jovial,  lively, 'full of beans', congenial/ratty/peevish,  sour/tart,  surly/churlish, peppery Y... 2010.04.05
455Simple viewtesty/heady/snappish, unlimited/incomparable/peremptory/complain,  grumble/bellyache, carp/kvetch, groan Y... 2010.04.05
454Simple viewwail/soothe,  'relieve (yourself)', soften/mitigate/scold/blame,  correct/chasten, discipline/censure/advertise Y... 2010.04.05
453Simple viewfortis(?) consonants,                                    Short(?) Program,  Democrat/donkey,  Valentine's Day Y... 2010.02.24
452Simple view>>                                              θ/ð/v/f Y... 2014.03.09
451Simple viewDifference between English & GRECOnglish/GC,                                             pronouns,   'Excuse me.' Y... 2010.01.23
450Simple view'Λui*a/o/=', business/craft, work/occupation, call/job, line/field, condition/symptoms/disorder/appointments Y... 2010.01.06
449Simple view>> Corrections:                                               [Λuia] adjective,       [Λui=] /S/SS Y... 2010.09.18
448Simple viewhorseback-riding?    class, label, creature, gull,   figure/dupe, fitting/fit,    worthy/praiseworthy/worthwhile Y... 2010.01.06
447Simple viewcorrect,  toxic/unhealthful,  deadly/destructive, mortal/killing, choice/prime,  'cool, first-class', select/rare Y... 2010.01.06
446Simple viewbrilliant/marvello-, cracking/mega, coolish/aggregate/assemble/accumula-, test/challenge, look at, research Y... 2010.01.06
445Simple viewexaggerate/emphasise/enlarge/inflate/embroider, frighten/scare/stun/alarm, damp/humidness/opacity/dim Y... 2010.01.06
444Simple viewfaintness/funniness/sport/pleasure/cheerfulness/joy,   understanding/affectionateness/toleration/surd/hard Y... 2010.01.06
443Simple viewdire/awful/dreadful/notable, non-specialist, general/easy/simple/plain/significant/suppose/imagine, believe in Y... 2010.01.06
442Simple view'fancy up', feed, 'eat up', graze/pasture/browse,  'dine out', copulate/shag/bonk,  'have a ball', 'have a fuck' Y... 2010.01.06
441Simple view'have a hump', erase, 'cancel out', excise, 'wipe out', luxury/extra/art/pleasure/love/density/want/parsimony Y... 2010.01.06
440Simple viewdimension/solidity/impenetrability/terror/animosity/dread/horror/fright/awe/deadline,    value/unchangeability Y... 2010.01.06
439Simple viewconstancy,  merit/irreversibility,  quality/unalterability,  caliber/invariability, bad,  kind/humane, good, favour Y... 2010.01.06
438Simple viewcaring/sharp/risky/parlous/ominous/dicey/insecure/ugly/quiescent/yielding/soft/dutiful/willing, patient/serene Y... 2010.01.06
437Simple viewliberal/prodigal, lax/permissive/tender, constancy/stability, lenient/magnanimo-/free/evolve, generate/render Y... 2010.01.06
436Simple viewguarantee/guaranty, delegate/authorize, trust, transfer/transport, hand/give/pass/capture, charm/bewitch Y... 2010.01.06
435Simple viewattract/fascinate,  entrance/trance,  submit/yield/agree/bend/bow/ailment, malaise/instrument/tool/apropos Y... 2010.01.06
434Simple viewtimely/genuine/lethal/terminal/hostile/fine/willing/affable/commix/terrorize/water, kindliness, hand-out Y... 2010.01.06
433Simple viewEnglish/GRECOnglish accent,                   'Happy Holidays',  season, chemistry?         'primary consonants' Y... 2010.01.04
432Simple view'uia*Λ/o/='            mix/mixture;     blend;     compound/composite/composition;     amalgam/amalgamation Y... 2010.01.04
431Simple view>> Corrected:                                             [uia=] /T/MS, /P/mES Y... 2010.08.13
430Simple viewcoalescence; climax; venture; project; risk; scheme;  benefit/beneficiality;  good(ness);  use; gain; reward Y... 2009.12.25
429Simple viewboon; alert; serious; deep; intellectual; scholarly; fit;    appropriate/expropriate; irregular;    asymmetric(al) Y... 2009.12.01
428Simple viewfraternize; socialize; sacrifice; abandon; renounce; forfeit(ure); jilt; disentangle/untangle; generalize (-ise) Y... 2009.12.01
427Simple viewextrapolate; infer; conclude; 'reason out'; universalize; mind; sense; knowledge; wit; corruption/corruptne- Y... 2009.12.01
426Simple view>> Corrections:          mindfulness/mind, sensuousness/sense, wiseness/wisdom, judiciousness/judgement Y... 2009.12.21
425Simple viewgraft; danger(ousness); chance; prospect; optimality/optimization; gawky/gauche; heavy; earnest; true/H?  Y... 2009.12.01
424Simple viewphysical; manual; base; sanguine; expectant; budget; allowance; finance(s); shove; thrust; nudge; knock Y... 2009.12.01
423Simple viewpush; bump; cause; source; spring; agent; opposite; different; enough/enow; lavish; belligerent; conflicting Y... 2009.12.01
422Simple viewoptimize; behave;   act/react; conduct(ion); acquit ; comport; deliberate; consider; think; ponder; debate Y... 2009.12.01
421Simple viewfrighten; scare; petrify;    interweave; intermingle; commingle; alleviate;    trivialize; untangle; shadiness Y... 2009.12.01
420Simple viewrun;   disclose; divulge; evince; defraud; hoodwink;   impart; promulgate; deteriorate; fundi; wonk;   study Y... 2009.12.01
419Simple view"trick or treat"                                   "air force one" Y... 2009.11.06
418Simple view*  'iau*Λ/o/='      mean(s), aid, advantage, vacuum,    (expressive) style, competition, aggression, intrusion Y... 2009.11.04
417Simple view>> Corrected:              [iauΛ] /P/MS, /S/aES, /C1/SS, /P/mES,   [iauo] /C2/MS, /verb,   [iau=] /P/mES Y... 2010.10.05
416Simple view'ill will',    pugnacity/roundabout/wandering, straightforward/natural/frank/dirty/blue, lavish/full/grace/raise Y... 2009.11.04
415Simple viewadvance/boycott/snub, refrain from, stay away -, spurn, throw out, eject/support/bear, hold up, carry/prop Y... 2009.11.03
414