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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 420r

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: 0.79.

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. 421v); this page is its right half.

The machine reads it as

  1. in 682
  2. caltutus deges smnodiffere trabs ni pumlis ao. e
  3. -Saa +bx + CXX + Vaa + b X + b dx +, C,XX + 2CXdx +cdX aequ e
  4. (4)
  5. var
  6. fiet ee (+ a a)t bX L CXX) -2C Saa + bx + exx aego (aax+c + cax
  7. et 4 eeaa + 4ec bx + 4CC CXX aequ e + 4 Cee d accxdx
  8. si esset caequio. fieret
  9. seu
  10. qu
  11. 4. 2 ee bdx ∞ Ab Cxdx + 2bcdx
  12. +b
  13. et + reebd + bbd
  14. et +2ec b dx + bb dx aequ
  15. ee b X _ abbx dx
  16. eAee aa _abaa dx
  17. +bbXX
  18. + 8baax
  19. 9a
  20. =ab bx dx
  21. qbaa ex
  22. + 4bb Xx
  23. +DbanX
  24. seu ec = b dx, = 2bx - raa aequ Vaa + 8baax + 4bbXY - 4baa dx - 4bb 2 1
  25. si jam ponamus ex esse constantem, ut ex aqu a et faciamus etiam baqui
  26. fiet: Ce = aa = 2ax aequ X 4aa XX + 4aX.
  27. seu erit e aequ. S aa + rax + 2aS XX + ax
  28. Redinchoaudo fuisset: B, Saa + ax esaa + ax ead aeque.
  29. seu ee( aa +a r e tantur aequiaar aoaax aequ
  30. et fiet: ee 2 faa tax 4aatax aequ aa axtado
  31. seu eaqu Saararan saaran, faciamus aa adx aquo se
  32. fiet et sit a aequ. 1. fiet ego et de aequ. 1. fet X s + X. iago e
  33. eago fr vel Sibi vel Fquo vel 14 vel 556s6
  34. sumnae Si si 13 s+ s5
  35. su
  36. summa si 12 13 S4 se
  37. seriessumabilus sis 21S Sis Sas
  38. Ii - 1 aqo 1+ s2
  39. seu Cog det
  40. x
  41. d 2 aequ 4 + 8
  42. si+ ex s aqu e. Ergo re x ago eet rosx
  43. Ergo A4X aequ C + sa et 1X aequ eet rerx +x. Redeunt priora
  44. Ergo nihil hinc fuit erior
  45. pisa 1(1.X + X 2 X + XX aequ ee. Ergo C aer 1+ 2X +, X+XY
  46. ovel
  47. Faciamus a aequ. 1 et dx aequ. 1. seu X ogr Tvel 2 vel 3 vel 4 se
  48. fieret. Saatax erit Lt Si vel S2 vel 53 vel 14. HC
  49. et Saa tax - Taa + ax = adx eut, S2- Sivel Se t2tc
  50. equ.
  51. seu eago Si +X = sx. Ego ee aequ 1+ x 2 SX + X + X
  52. ergo eaequ. s1 + 2X + 2SX+XX
  53. Ergo summae erunt
  54. 52
  55. V3
  56. Sq si 16
  57. Ergo series summatix erite si
  58. series summabilis erit sirito Bri Sir Sinta sortio axsio
  59. seu sirto hrgi Ssa Syt 15.b (9+0 vits
  60. at
  61. rrgo 1+ 13 + (8.1 4. 15 + 18. 3 + (2 + 18. 6. + (9+ B3. 10 + S11 + 18. 15. an 50q
  62. aqu f5

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 420r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0835?run=74