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. 263

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: 0.86.

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The machine reads it as

  1. Cap. L. XII.
  2. A L G F B R A.
  3. 88. Idem raler in Aquatione Cubica (5 32.) ex cujus radicibus tribus, non-
  4. nisi una est ucilis.
  5. Sumpto enim (per S 4 F) a a = 6. 378, 220, 897, 24;
  6. Tum cst (Per 532) 16a = a = 17b - b
  7. THOc est (per 5 42) 24. 299, 937,70F, 382, = 27b = b.
  8. Cujus aequationis cubica racicem unam jam invenimus (5 46;) candem ni-
  9. mirum quam (SBF) invenimus per aequationem quadraticam, b =2. 969, 152,
  10. 768,6. Sed religua sune inutiles.
  11. 80. Nam hujus, ope (ne opus sit radices reliquas simili refolutione cubiex
  12. aquationis exquirere) cubica ad quacracicam deprimetur: Nimirum,
  13. B - 2.969, 152,768,6):
  14. 1B. = 27B = 24. 299, 937,704,382, =0 (3
  15. 5 (bB + 2.969, 252, 768,620, b -8. 184, 137, 836,597, =0.
  16. PuIa, Bb + Cb. -
  17. D
  18. 0.
  19. ∞. Hujusque emergentis aequationis quadracieae, dux sunt radices; astirmacira
  20. altera, altera negativa.
  21. Nimirum, B = - =C F V: ZC.9. F D:
  22. FOc est, B = - 2. 484576, 384, 310, = 3. 223,057,380,415.
  23. HHoc est, B = = 2. 738, 480,996, 105. P.t B = - 4,707,633, 764, 725.
  24. Or. Farum priorem, qua est attirmacira, jam expendimus 5 44, ee invenimus
  25. inutilem.
  26. Ouoniam posito a a =- 6. 378, 22.2;
  27. Adeoque BC (= 16 - a4) = 9, 621,779:
  28. Si TIL B = 2. 738,48T;
  29. Fric c =
  30. 9.622,170, = 5.534,59; 8t 00 = 30.631, 68.
  31. 2. 738, 481,
  32. Ouod Fieri non Bocelt; modo a et b (adeoque ab) sint Bolitiri; PrOPter
  33. 66 (== 18 -- a b) minorem quam. 18.
  34. Sed neque tieri porest (manemre b attirmatiro) eiamli loret a nexacirus; puca
  35. = - 2.525,514.
  36. Ouippe cum,
  37. B:
  38. F ab =
  39. 66 F ab (= 18) =,26. 24. F, T2.
  40. 3. Farundem posterior, quae negacira est, exhiberet b negatirum; nempe
  41. = = 4. 707,633,769,955. Adeoque
  42. 26 = aa = 9. 621, 179, 102, 760, = Bc
  43. 4. 707,633,769,055, =
  44. Sed, ex caleuto, reperietur inurilis. Ouippe tum,
  45. aa = 6. 378, 220, 897, 24
  46. BC- 9. 62 +,7799102,76
  47. aa F bc =16.
  48. Acque hactenus recte. Sed tertium membrum Fallit. Nempe
  49. 65 = + 4. 177,393,879, 2.3
  50. ab == = 11. 889, 194, 917, 28
  51. 66 F ab (= 18) = - 7. 7L1,8O2,038,095
  52. C6 = 30. 637,68
  53. 4. 390,56
  54. F = L. d431001 3366, 714, =c.
  55. = 22, 161, 825,662,7
  56. a6 = - 5. 162, 615, 662
  57. 6b at = 17.
  58. 93. Similiter

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. 263. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0287?run=74