Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 766

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.90.

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The machine reads it as

  1. C. O M N F R C F U N
  2. Invenire duos numeros quadratos, qui partibus suis aliquoris additi eandem
  3. efficiant summam. Fxempl gratia 16 F 8 + 4 + 2 + 2 == 3r = 25 + 5 + 1.
  4. Inveniantur ejusmodi alii duo.
  5. Buc T added wichal, chac P looked uxon problems oF chis nature, (oF which
  6. it is caly co contrire a great many in a Tucle cime,) co hare more in chem ot la-
  7. bour chan cicher ol Ve or Disticuler.
  8. Since chac cime L have (pent no Further chouphes abouc il For being jull
  9. chen called trom home by chie deach oF a near triend: Betore L BOc home again
  10. P understood chac my Lord Brouneker had boch relolved chole evo, and allo a
  11. lacter problem From che Pame hand, on irhich L understood chat (varins che
  12. Former inguiry) MonL. Fermat did lay a orcacer Irels, as more contiderable chan
  13. chose Former. Which problem beine boch receired and antvered, betore L heard
  14. oughe ot ic; Y conccired ic necalels For me actum acere. Whac his LordMips
  15. Solution oF chis latter problem as, L am noc able io cell, nor so much as Wrtiat
  16. vas che problem; noc having any Copy ot cicher. Buc L know his Fordthip (0
  17. vell, and his peculiar dexcericy in chinss oF chac nacure; chac P hare a vers ArOnS
  18. prelumprion oF che accurarene(s ot wtrat he doch in lueh a way.
  19. THaE OcHer lCTLeF OF MIONI. Fermat co vour CelF, et ertrich von incimate chac L
  20. may expect a Copy From MI. WVhite, is noc vec come at me; ies poltible ic may be
  21. vet lodged in my L. Brounckers hand, eo irhom ic ras tirst co be communicaced.
  22. lcan ontr, for chac and all ocher vour noble Favours, cender vou my very hum-
  23. ble chants, heine in no capacier ot makine any valuable retaliation; Vour revard
  24. beins onty che conscience or jour oun senerous inclination co tieap lavours on
  25. chole trom irtiom rou can expeet no recompente,
  26. Mallonty add aterr mords and tiss vour noble hands. And ris buc chis;
  27. chat since rou hare been rillins co gire vour selF checrouble, and us che hOnOUT,
  28. eF impartine papers becrixe Monl. Fermat and ny Celt, Lchoughe it noc Whony
  29. incongruous co subjorne a Fheorem, irhieh il ic Chall (0 scem 800d tovou, vou
  30. may cransinit eo him eo be demonstrated, noc as a challense nor as a matier ot an
  31. extraordinary ditticuley (For P do noc cake ic (o eobe:) buc such as in che solurion
  32. oF ic may probably Cuorestrohim (ithe knou ic noc already) a preur handlome
  33. Speculacion, irtrich pollibly may be nocunveleome co him. Jhe Pheoreme is chis.
  34. Sit Ppramidis vel Coni Frustum (parallelis planis abseissum;) cujus basis ma-
  35. jor aequetur quadrato rectae R: minor, quadrato recta P.; altitudo P. Dico. Si cru-
  36. ribus A, P, (vel his aequalibus) constituatur ansulus graduum 120; ex circum
  37. scribatur circulus; duadratum Racii cireuli sis descripei in allitudinem frusti du
  38. Etum (RGF) aequatur Frusto.
  39. The Demonstration oFie, or whaterer at any eime L Prail be in any capacies 10
  40. Terre you in; sou may command ac pleature trom him WHO ACCOUnES IL a BreaC HO.
  41. nour de audo be repuree,
  42. RieBL NNoble Sit,
  43. Tour affectionate and verr humble servant
  44. DOTEN W ACZL5.
  45. Oxtord Sept. 3.
  46. EP LSFOL. A. Y LII.
  47. Sl. Vel. 1657.
  48. D. Pctuicis Brouneter, ad D. Joh. W allis.
  49. Vam, Vir Claristime, quinto hujus seriptam helterno die recepi; u d illam
  50. ad D. Kenehmum Diebr, QuX QuaM MaEUTE POLIO ad illum cran (MICEtIE
  51. Oua AUTeM MCMOTASd D. Kenelmo Dieby ad D. W Bite millam, ue neDIS impertIa
  52. tur, nondum accexi, neque de illa quiequam inaudireram. Obi illaut dcpero
  53. ribi crantmutendam curabo. Incerim en ribi, quam peris, D. Fermatet Gua toeM
  54. cerciam, meique ad illam responsi summam; (ipsa Siquidem verba nelcio exhibere,
  55. cum corundem nullum apud me apograptum recinuerim:) quod camen fecillem li
  56. Ducalsem D. Whise relponsum illud eadem Forma tuisse cransmicturum. Poreris, A
  57. ribi vicebicur, Larine candem crantmitere, (L. p. 16.) ul non lib el a ldiomale
  58. Ansli

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 766. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0790?run=74