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. 264

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: 0.85.

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The machine reads it as

  1. A L G F B R A.
  2. Cdp. L.
  3. 93. Similiter; sumpto (per 556) secundo valore 4a = 0. 175, 483, 523;
  4. Adeoque a = 0. 4 18, 979, 47; 8 a = 0. 073, 527,65; et 16 a =- 6. 702, 7LI, 5:
  5. Erit (per 532,) 26 a = a = 6. 629, 193, d = 17b - b.
  6. 94. Cumque (559) invenimus unum ralorem B = 3. 972, 226, 866; hujus ope,
  7. deprimetur Cubica ad Ouadraticam aequationem, reliquas radices duas conrinen-
  8. tem. Hoc modo,
  9. Pata
  10. b = 3. 912,226,9=.0)
  11. )b3 = 27B + 6.629, 193, 9 =0 (4
  12. (Bb + 3. 912, 226, 9b = 2. 604,480, 9 =0.
  13. bB + Cb = D = 0
  14. O5. Hujus aequationis quacrariex, duxe lune radices;
  15. Nimirum,
  16. b = = 3C = Y: a C.9. + D.
  17. Hoc C(t; = T. 956, 173,5 = 2. 349,65T, 2.
  18. Hoc elb; + 0. 393,5377 =B. EL - 4. 305, 764, 7 = B.
  19. Sed veraque inurilis.
  20. 96. Ptam, POTIIO B = O. 303,537,7: ExIE
  21. 1 - a a = bc = +5, 8247506,5
  22. b = 0. 393,53737 40. 210,897, 8.
  23. Adeoque a = 0. 275, 493,5 FF bb = O. 154, 87,2,0
  24. 16= 15. 824506,5
  25. aa fb5- = 16.
  26. ab - 16. 845, T28,0
  27. 1 - 44 = bc = 25. 824, 506,5 = - 3. 675, 190, 8
  28. FL aa = 0,. F75, + 93,5 Et vb = 18, 539,609,0
  29. b6 = 25. 824, 506,5
  30. Sed 5c=- X616, 926, 229,5
  31. ab- 0. 16476666
  32. bb + ac = 17. cc + abl = 18 =) 1627 081, 160, c
  33. 97. F. L, POLtO B = - 4. 305, 764, 7. Erit
  34. b= 4. 305,764,7
  35. aa + b5 = 26.
  36. ab =- 2. 539,609,0
  37. bb + ac = 27.
  38. cc ab (= 18)= 1X. 703,258,7
  39. 38. Similicer; Tumpro (per 566,) cerrio ralore a a = 27 416, 140, 14;
  40. Adeoque a = 4. L73, 264, 926; _ 16a = 66.772, 238, 8; e a = 72. 682, 566,8.
  41. FrIL. 16a - a = - 5. 909,928, 0 = 77b - b.
  42. 99. Cujus (per 567) radicem unam invenimus B = 4. 287, 022, 55. Fujusque
  43. ope, Cubica ad Quacraricam, sic deprimetur;
  44. Puta
  45. b = 4. 2.87, 022,55 =0)
  46. =)b3 - 27B = 5.909,928,0 =0 (1
  47. Y (bB. + 4. 287, 022, 55b. = 1. 378,562 =0
  48. bb + Cb + D =0
  49. 200. Cujus aequarionis quactratiea, dux sunc radices; utraque Nexacira.
  50. ZCFV: =C9 - D:
  51. HOc est, b = - 2. 243, 51X, 28 = 1. 793, 342,75
  52. Hoc est, - 0. 350, 168, 52 = 3. EF -3. 936, 854,03 =b.
  53. Tuucilis utraque.
  54. TOT. Nam, DOSUO b = =0. 350, 168, 52:
  55. Prit c = 16 - aa = bc-
  56. 2.416, 140, 24 = + 4. 041, 16746.
  57. 0350,168, 52
  58. 264
  59. Sel bb - 13.507,02793
  60. ab = - 2. 803,768,6
  61. Adeoque

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. 264. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0288?run=74