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Leibniz-Handschriften zur Mathematik LH 35, 3 A 30, fol. 5v

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: 0.75.

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The machine reads it as

  1. Onissis ergo caeteris resumemus aequationem: 27.
  2. e2
  3. 64 pr (28) 649f + vt hY 8 vh
  4. et 1 = xut
  5. + 4X
  6. +x vhi + x
  7. t
  8. 4ax p 16. - 4X + X
  9. (29
  10. Ergo si 649h - X Yh + 4X - X 7 0.
  11. potent exresiduo extratu radix et
  12. inveniri p
  13. Ut ergo efficiatur in nmes rationalibus aequatio 29. divellemus eam in duas:
  14. (30)
  15. 64 gh - X fjo et =xv h + 4X H0 ex priore posteriore, ubi feliciter evanescit
  16. fiet vh r 2. seu hF 2. Ex aequ. 30. fiet X p, 8ghr seu Xp 16gh, 1 169, 2
  17. 3
  18. est autem supra V p g + 1. ergo fiet X , 32g
  19. eierit E BP vsi 4 +
  20. +1
  21. N4 +4 4 169
  22. 9+1
  23. (∞)
  24. seu PH + e + 16g. sit compendicansa p p - 1ege
  25. 92+1
  26. 2+1
  27. Et ex 24. n+ e. foret etiam L∞ e. quod est absundum foret enim Ypo.
  28. ergo non licet sic divellere aequationem 29
  29. si esset vhp. 2. fieret hp 2 et fiet n1 - e et ex 17. fici lyte
  30. seu lp.n. idem lprte, ergo rursus Yp.. non ergores procedit ne sit quidem
  31. v
  32. 64 qu - XV, eut X p, (+ 9. et rursus Xp, 16. Ergo v B4g2. et v, 29
  33. quod rursus non licet aliter. 649 tr 77- 4X erit X, 19 hi. mitus ti X
  34. uende idem rusus
  35. si esset Bh +Vh + X( A() X p0. seu X 1 (p ti0 + 2
  36. rursus X Vte L 4X - X 0. seu vtir 4 - X seu Xp 4 - vt
  37. sed ita fieret psghe in quod absudum.
  38. siu in aeg. 29. faciamus hp CX. fier 64928 X - rco x + 4 - X
  39. uunde divellendo A= 64g cd X BZ. seu dCoB i sive Misco et
  40. vcXA. seu vCOKHL. est autem ve 9 41. fiet XN C +C
  41. sed ita rut sus Vh pu2 contra atentum
  42. C4gx - V in aequatione ascribatur:
  43. +6+ g’ coX = X 10. et rursys: vcd X p 4 + 4GX + X G
  44. xa
  45. =
  46. +
  47. 2
  48. fier vcX 2 + GX et XM nong
  49. et X p 64915- 49- + p 2 +2
  50. 645 HXH Ergo 495 8. atsurdum
  51. vco-9
  52. 649e5 X - vcs X + Xp0. fier: X 1, 649 c + G
  53. v
  54. quos des valous aequando habebilio
  55. rursus 64 4 - x - 44, 0. seu Xp 16 - +4x valor ipsus Y, qui solvet problema
  56. seu 4 16
  57. 1+ a H
  58. fier: 619c0 + Y + 649254 +4 16γ c
  59. +
  60. qua divellendo aursia
  61. ug aga
  62. fiet 16 6a gC0 Gco 7V. et Bc 3. fiet
  63. 6FV + 1, 6474 ( + 41 p, 168. fiat 148,,D 2p + 1.
  64. eutus 6a) + + 64V a + (, (44) + 4 + 1v ego habetur Y.
  65. et ex 28. et 29

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 30, fol. 5v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068243:0010?run=74