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Leibniz-Handschriften zur Mathematik LH 35, 7, 4, fol. 9v

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: 0.80.

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. 1r); this page is its left half.

The machine reads it as

  1. ei b raeterum calculum sine ileo compendro pinendi qu ch. nunc exqui i
  2. vacat. Porro vileamus etiam an non utilite pus extrahatur. radix exx iar +de. set nempe
  3. sint Lv + de - r+ odY a + rh av sit se h: dv = de: 2dh = at: 2 sit db= 2d
  4. et t 2dm dL: da fit dv= Ergo dv + de = deto: 4 ati - ete: 2 + dt: 4 + de =
  5. = de: ah + de: 2 + dh: 4. Et Sdv = e = de: idh + ih: 2 = y
  6. seu de + dh = 2 dh y. sit I C = p: q h= m: n y = et v: co.
  7. fier de Q (:) man - nam eog + m B(pdq - qup Con = 2 vqt man-nam n. sed
  8. Catis hinc apporet nihilo faciliorem hac ratione prodire calculum, quam praecedente.
  9. Redeamus igiturad paginum praecedentem, ubi erat aequatio Lman-ndmt2) edg-gap nh = c n9Y
  10. et faciamus primum nt cq fiet ( q) = Cn fiet ( Imdn. namc h + L) p.q 4ap h2= con isaque si
  11. ed et n non assurgant ultra unum gradium aequalio assurgit ad ftum, debet aute s alterntiu
  12. in vel p assurgere ad secundum; vel ambo, ob , ob co et n habemrus arbitrarias
  13. ob m et B habemus sex vel 4. sed compendiosi calculi causa, sint saltem 4 ut sit p unius guadus
  14. sit ergo Cd= ff +2F9X + gg XX et m= k 10 + ux +12X et p = 13+14X et n = 15+ lX
  15. vel omiffendo 15, ut contrahatur calculus videamus au liceat facere n= tantum, et habebimus:
  16. Man-nam = 10l +
  17. X +eC
  18. uIx.
  19. 2. 12 17
  20. Est autem hh = ae + 2abX + bb XX
  21. 2tla. -4. 10. 12. P abC x- 2. 10. 12 12b ex Y
  22. Ergo (2)m dn -nam P R2-. p10P a c + 218 abix +18 PbCX
  23. edunepo dam bingit
  24. Pan -nap = 3l + 1 4lX - 12lX = 131
  25. (0=
  26. Ergo pdu -naphi . - - . . -- - 13Pa + 2. 13. P’abX + 131 b X
  27. +. Pa C .. +2. 12 Pabex tul 637
  28. C14
  29. 2 t et f9X- e + 2X
  30. Et con.. . . . . sed video em quae aequalio debet esse identica. Sed res non succedit
  31. +1lX +2IX
  32. seu m du + nam = (N 10L + 2k. 13 (X 4+ 1EL X cujus quadr = =_ZEI + 4. (. 10) 12KIX + 2. 5.102 u L2
  33. compendis autam cansa fiamus h. h = X pdn- nap - a2 1(4 14 1∞k F19 + 4 1eK X t4)LKIX3 + 12I2XY
  34. n = K+ + 4KIX +6K VX+ 4K V X +
  35. CCo N = +s K+ 4 a fKIX +6fK (2X + 4PKBX + fVX
  36. 2f9k. 18fgKI. +12f9KI. + 8543. + 2f914 25 . . . .
  37. +ggK+. +4gXL. + 6g4Y. + 49413. + gI2X
  38. aequ
  39. aG
  40. 1man. nam
  41. 1du n sli =.
  42. Himeo de successu. ideo absolvere nant calculum opera pretium non est
  43. qui calcutus non difficulter absolvetur; sed cum videam naturam plecaque quae lento compendra respuere

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 4, fol. 9v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068076:0018?run=73