Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 84r

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. 83v); this page is its right half.

The machine reads it as

  1. luide fua pog. derse)
  2. Videtur autem in semper effici posse ut in. mvot aan + abdv =0 sit
  3. n: m constans. Ponamus aequationem fuisse fyZ+ ag aaq + at dZ = o fiat
  4. = lvra (l: a)v et dz = dll:. a) v + l.: a) dv et prodibit ut
  5. mlull ve + a p + aakalv + aast do
  6. et n: m = constanti Ergo g: IUf: aa) = costanti seu aag: Uf = constanti hia Ergo erit
  7. H = ag = Ufh, et H = aeg: fh et prodit aequatio:
  8. ag: fh) VV taag + k al v + dpk (dv = 0, m = ag: fh n = g, b- klia
  9. Kdl - , fiet meov + aan + acv + R do = 0 sit jam v = (y 1g
  10. +aanyy
  11. +ac pyy
  12. sit jau v= (p: a) y + q et fiet
  13. + acaqus mov =m(pp: aa) yy + 2msp. 49y + m 99
  14. + acdpyys 0 = L acV =
  15. aan =
  16. Cabdv=
  17. +pC y + acq
  18. + aan
  19. bapy tabdq + bpdys d
  20. ib si asolulus temunus esset destinendus fieretque t9 = 0 seu q constans fieret
  21. qq + ac: m) 9 + aan: m = 0 seu gq + (ac: m)9 Haacc: Amm) aacc - aanam,: Amm
  22. seu q = a N(cc - amn): 2m oportet cc-ame: amm esse constantem
  23. et redeundo ad aeq. (l f: aq pr + aa g + KdlD + KIdV fiet c = kal: a m =: aa
  24. ad = 4 inm h. a +W fh: a
  25. seu _ A Ca Haldl = 4 Th + 4 au59 seu aadl e = 2 sasy rallos 9)
  26. hunc si esg ag + hfl constans seu ag:hf constans, procedit
  27. quadratura sed h est constans ergo debet esse dF. Et redimus ad prius.
  28. nam sustrapostulabur m:n constantem
  29. si in 57Z+ aag. + a k du fecissemus Z- v + q fieret
  30. -aq: v fieret faqe + aag = ak9 do
  31. Z+ Xx + AK dz. dx sit x. _yaR
  32. y-
  33. nam x = an
  34. v0
  35. dmin + aann K (aadu aamdo): (a dn = ande)
  36. a mm + aannve +
  37. si
  38. on
  39. 7Z + V ∞ + ak d 1p: dZ
  40. L
  41. va
  42. sit Z
  43. 2V3
  44. nov
  45. CXRa 1L+ 10y 29 - 31a430y
  46. 2 +y 21+y
  47. Z4 ( PdZ + ak di = Z = n a +10y p = 39 a + 30y, et fiet
  48. Va +31Ia. 10y+ 3. 11a 10y + 1831 sit 10 estans
  49. WYdZ - 31 a +3. 31. 30a9 + 30gy, a du + 10 dy
  50. zez adu taduidys +e ade 0) gy + Hlaio dys F 1a 10 ydy + 31 y dy
  51. 3 aadpt
  52. et debet esse Uf: aa = m et g - n
  53. sielque ute rua yys + y + eo
  54. raM p
  55. C
  56. =Pytag. iy

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 84r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0167?run=74