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Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 38v

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: 0.81.

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. 39r); this page is its left half.

The machine reads it as

  1. pay. V
  2. hy + aby y + aaeis ∞ quadrato. fiat y = quadrato seu y = mmax + ramux + aanu =∞
  3. ∞
  4. sa
  5. et fict ahyus taabus + ac ∞ quadhato s + b sest 13 + C. + 4
  6. seu hmet aahmnX + baahmmnuxx + 4a hmnX + ahn
  7. CPR + +aC p qX + 6 aac pp 99 Xx + 4 a p q X + ac9
  8. bmuppi t rab mapus X + aa b mngus XX + 2a0 magus X + abunque
  9. rab ppma X aab pp nn (X + 2ab puna X
  10. Haab mmpus XX
  11. Lito
  12. 10X + 1 X + 12 X X + 13 X + 14 = Ato
  13. sit radix AXX + aB X + aa C ju
  14. crilejus _t AA X + 2A ABX + 2. AAACXX
  15. 11 l14 = 13 Sio dabil
  16. + 1aa BBXx + 2aBCX + at CC
  17. As
  18. egtbunoque. ho tcrbnm
  19. faciamus M = n et p = - 4
  20. he+ cq+b ungu
  21. A = Ho C = s14
  22. B - 1: 2A B = 1: 2C
  23. fit 11C = 13A seu 11Y4 = 1310
  24. jam 12 = 2AC + BB.
  25. Ergo 12 = 2 H0.4 + 1. 13 seu 1. 12 Mo14
  26. +hmn + acp q + 2b m Bq+ Ebp sum
  27. Ahmu + 4Cpq + 2b mu19 + 2bpgmm
  28. et ex hac aequi fit t
  29. fiet 10 = 14 et 11 = 13 et aeq. 11S14 = 13 s0 erit praestita
  30. Superest aequatio 8. 10. 14 = 4 i ton4 + 1. 13 = 4. 12 s1o. 14 vol 8. 10.10 + 11. 1 = 4. 10. 12
  31. ob n= m et et 9 = - p fit, 10 = h m + cpt + bmmpp et 11 = et hm orep E b imm pp + 2b rAm eP)
  32. et 12 = Ch m= +6Cp (+ 2b mmgq - (b mn gu
  33. 8. 1810 + H1. 11 = + +. 10 12 Oriri +hc = bb hypollus
  34. sed hoc posito video in aeq.
  35. An ergo Sufficiet ponere 10 = 0 : et I1 = 0 haberentur mm app, et n: 9
  36. si esset 9=0 fieiet ∞ 10 ut aute, sed 11 = 4hoa +2abpp nn 12 = 6hmmn +bxpun
  37. 4. hn
  38. 13 = 4k mB
  39. Aliter egitus, hoc modo videtur dari, fiat 10 = 0 et 11 = 0 inventa
  40. per illud relationem inter in et p, per alterum relationem inter n et g.
  41. restat 12XX + 13X +14 aequ. ~t, quod fieri pt non per identificationem
  42. cum quadralo, sed per faciendo 12XX + BX + 14 = ((IXX) Ax S v + vV
  43. et habetur X ralinaliter
  44. et fiet _ 4hmueistim st abumpe) = ahm n + rabpoma, . B 4 H, Aurei abii = abneruti - c
  45. et 4. (shmmna +beruu unsh sum reptebmmpp = B. h a t ( ho rep tabmm.) + 16th e
  46. sed ita rursus evanescit n
  47. +Babh mn u sp
  48. 810 = 8,
  49. 4 1o1 810. 14 + 11. 13 11 = 16
  50. L
  51. sit um + b p M + Z pp =0
  52. fiet um + pm + bb pp =
  53. 4
  54. m = -bP + pNbb-anc seu
  55. p X + aq
  56. eps
  57. op.
  58. topxx F rapgX + aa q 33
  59. Cpp XX F 2aC p9X F, aa c 19
  60. Obm P XX + abnqus X + aaenque
  61. at)
  62. p - Sbb - 4hc - b, : 2h s
  63. sit jam rursus 2ak mn + racpqs + aomq + ab np = 0 et fiet:
  64. Zah 2 + ab
  65. mop = 2ac4 = abA: raha 1 abq = - 2ac - ab n
  66. n:g= seu rat P 2 2ahlmh +2ac + ab m + abn. Et = 0.
  67. et fiet n = - hac = ab m,: 2 ab + ab. ubi ubi nihil videoeisudi

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 38v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068049:0076?run=73