Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 108

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: 0.74.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. DE MIDLTIELICAETONE Cap. X
  2. e
  3. a + C) a = e3 (a - ac + e
  4. ad a’e
  5. =a C - ac
  6. ac
  7. a c-
  8. (a - ac = e
  9. a + e
  10. e
  11. 2 - 03
  12. 263 2ae
  13. a = e. Fum cum a) = a c (-- ac; de = ac in a = e sit = gt e = d c
  14. facta subductione, reltabit. L a c - e. Denique cum Fit a) ac (e, ec e in a f e siF
  15. ac + e; lacta subctuctione, rectabit = 2e: PL quoriens ett a - a0 + c
  16. a F e
  17. Vel Ci in ultima operatione, pro quoriente L e (= ) sumeretur quo
  18. riens = e, quia nempe + e) = et (= e2; = e in a + e, tuistet = a0 - e3; 8
  19. subductione facta, reltaret 2ae, adeoque quoriens a = a e - e
  20. tancundem valet: Nam F et -
  21. = a c = e 2 a c
  22. a Fe
  23. 26
  24. 2aC
  25. ac
  26. a + Duod
  27. a = hoc est 2C = c = 20
  28. a + e
  29. Sed idem lere erenitet Si praecedens operario (ubi residuum est = 2 0.) ulterius
  30. continuetur; ee tumatur quoriens =, = - 2 e : nam = 2c in a F c eAt
  31. = 2ac = 28; quod, cx = 2 e subeuctum relinguit + 2. a c, adeoque erit
  32. a - ac = e - 202 2a c
  33. Ouod ideo monco, ut appareat, (praeterrim ubi necestario tractione terminetur)
  34. quocientem polse rariis tormis exhiberi (nam et multis adhue modis rariari po-
  35. Test) Sed qui cancundem valeant; ue quilibet eam quae sibi masis accommoda vi-
  36. deacur selisat; ee quidem nunc hanc nunc illam uc praesens negotium postu.
  37. daverie.
  38. Pottet interim eadem operatio peragi eodem plane succeltu, Si a dexera inci
  39. Diamus, Nempe c) = e
  40. e = e in a f e Facir - a e - e3; & (Tub.
  41. ductione facta) reliduum a f a c. Tum C) F ac (F ac: e ac in a + c Fa-
  42. cit a c F ac: ergo reliduum a = a e. Denique e) = a’ e (= a; d = a in
  43. a F e tacit = a = w e: e reliduum 2 a. Adeoque quoriens = c + ac = a
  44. ea
  45. 2. +
  46. da = 5 C c + 4
  47. Fac
  48. c
  49. c
  50. tult C
  51. Vel, si in uscima operatione sumatux quoriens L a (= = ) erit reliduum
  52. = 2a e e quotiens - e + ac + a -
  53. ea
  54. ate
  55. Sedt urroris liorum mocorum pro.
  56. cedlatur, quoriens camcundem raleL AIGuE PEIUS
  57. Vbi
  58. 0

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 108. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0128?run=74