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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 74r

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

The machine reads it as

  1. ay = (1) (ba + CX Y) + (ma + nX). Hujus quaeritur
  2. momentum ex tangente verticis, seu initio ipsarum X.
  3. quod dupliciter obtiner potest summando Xxdue et
  4. summando, VXdx. jam yxdx summari posse manifestum
  5. est per quadraturas rationales. Ergo et XXdy, ex quo
  6. quid fiat, videamus.
  7. 2d
  8. aayy = +ba + CX + 2 N(bm a +bn a X + et
  9. maz nX
  10. e
  11. cma
  12. e seu compendo aagus - Fa - gX, 2 = 4bma ete
  13. 4 a ubi f = b+ m et g= c+n 4
  14. c
  15. (5t0
  16. 1fate y = 2fa yy - 20099yX + 259aX + 9gXd= 0
  17. 4
  18. bn a X = Cn X
  19. Osit g90 cn =0 seu ce + nn +(D en (= Cn =0
  20. El
  21. =Cm
  22. ey
  23. et fiet CC + FB + ~ nn + CN +Z c = ZCC- CC =
  24. 4cC
  25. seu n + EC = = C 1 - 3 su (R etiam f. bm =0 et
  26. ne seu n: C = (0 - 1 + 1 - 3, : 2
  27. fs - bm = 0 fietque m : b = - 1 - Y- 3, : 2
  28. et fiet a y = 2 Ybm a yy = 2 aVCn yy X + 2bemb) a X = 0
  29. et
  30. e
  31. sit quoque
  32. seu XX
  33. du em 2a ibm
  34. e
  35. e d
  36. e
  37. D. bn a X
  38. ema
  39. 2 on Gy + bn ax
  40. quod rursus reducibile ad quadraturas rationales sed
  41. a
  42. + Cm a
  43. = 2ubcmn
  44. idem obtinem
  45. forma tam imaginari
  46. interventu imaginariarum quod singulare
  47. quam
  48. rationali quae comparandae inter se et videndum an non
  49. ubi minum
  50. per eandem quadraturae gradum
  51. sid imaginarium tollatur formaliter. Nam virbraliter
  52. quidem tolli per sepatet xx pro X ab aeq. 1 mostam, fieret
  53. et a pro a
  54. rfaegus-2( HXX t 2fga
  55. Rx
  56. si fuisset
  57. ce
  58. ex eg. 5. t s V
  59. BX
  60. ua
  61. seu
  62. =Cm qxx
  63. ubma sed s. Hubri in rellaquamus quanbtatem in
  64. sit jam
  65. sed si ef- bin relinquamus quanti tate in indeterminatam
  66. +fac
  67. hiet
  68. XX =
  69. 27ayG + Aab- bma
  70. haagyys +bn a tema
  71. quod haberi potest per quadratura
  72. rationaem summari et lices inter
  73. ventu inneginariaru

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 74r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0147?run=74