Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 127v

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: 0.72.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 126r); this page is its left half.

The machine reads it as

  1. X e
  2. F. 0 = + 1
  3. a 1( = + s= 2y +2(0. = + + 4
  4. 2 7 2+ S... + 3
  5. ar S02 + s= + 4 + = 10= - s al B
  6. er + eq + P + VC s
  7. S 0
  8. an rs. , 1d19 9. -r 4 e
  9. +9 -9
  10. ph X j at 13 2 + 12
  11. X n r. 4g 10
  12. +a l e
  13. 18 = + 1= + 4 0
  14. 4-ah 10 =- 4
  15. sive - r - l p = ah 10 = 1
  16. et cubando: - r - 3r l _. 3r V - P
  17. = n2 - 2h 9 - 3 hq. - 93
  18. si sint duae irrationales hmymodi 1B e Z Bde quadntum unius in alterum facit cubum.
  19. nani e 0 de p 4.
  20. 17. e
  21. Esto ergo 19X B +9 1 + qu0 de.
  22. erit X + de +3C + 3e
  23. de p
  24. ex + e ra epsed + s0 ac
  25. et fiei: p 10 + q Y de H 4
  26. ed
  27. et C + de + 3C + 3C
  28. hes quoirrationales, ita ut factum
  29. duobus quibus libe
  30. su quolibet sit numerus:
  31. 13) 13 de se a
  32. restat nnvissima aequatio srigera
  33. +Spefrg po. huic aequationi componatur altera:
  34. +fdva KgCv- pagva +pae fra et fier:
  35. 2f dua + ar +6p F9- paegva + pafva 0
  36. cui rursus addatur = 2fdv a - ga = 2p a 9 v. pet
  37. ar +6y. f 9 -3 pasgr + parf Va - qu- 2p a 9
  38. El = 10 de + 10 = + s ae
  39. - 10 e
  40. PN L.- l 4 3e ade , de vde; X + 1 4 + 3C +e 4 1= b
  41. H. I () X _ dc:
  42. xr side s0v’e
  43. +4g fde ...
  44. 35BC
  45. punae
  46. 2pa fyde...
  47. 3 1B c
  48. +3 10 C
  49. + Y 1950 de
  50. +a53 dc. . . +65 gae
  51. +920...
  52. 31t9 de. . .
  53. Acuro fg f9de 1 a Y a7)
  54. f7 =. 49de - 9ta - g de - gad
  55. 2’e
  56. 4 b0
  57. sive - 15 ge de (- 3 9a7. sive 9 de . = ga
  58. item f atr aar Tar. 9de - qa ubi pro g de sustituendo
  59. grareh. H Al
  60. ejus valorem inventum
  61. eoanescuut artitrarie
  62. 9a + f de + 49de 3 de pagder 49a +45 de +9de +3pf dea 70. et unam aequationem ab altera
  63. q2
  64. subtrahendo fiet: - 3f2d6 +39 de 4 3p a ode = 3p a de. e dividendo per de fiet; - 3f d +39C c3pa - 3 paf. Ergo ep Bpa f - p pa 9 +5 d
  65. tam in aq ponendo de B e vi fier _ C F sa- fErd= qus Pa S (C pa f3d tiet 25)dv + pa g r t -ga Pd
  66. 97) 0
  67. aie ori 19 3 o
  68. X + pX + agX + ar
  69. +PX +aqX FaYX
  70. in... + mp. . + m aq + +ma
  71. ea
  72. 0 + X 16 de

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 127v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0254?run=74