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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, 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: 0.72.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. e
  2. si sit dx.x= adX: X Ellatutum etirvae, adeoque
  3. d shydy + ax ax )Y fart s: et aa. (X dx = XXaXdX + XXdydy. Et dydy= aa
  4. u
  5. as
  6. et
  7. e
  8. Axie
  9. aa XX ex: X quaemtur per avaeratur per quadraturas rationars. Fial ((aa XX) = )aa - XV): aa
  10. teu (a) = aaXX) = a)- 2aaX V + XXBB. Et a X = ZaaV:, aa + vD et (aa - XX) = a a - XV, : a = aa a + =44AVY+ aaV
  11. a
  12. 4L WD). 2+244V
  13. en
  14. +y
  15. : ergo aa =XX) = , aa - vv,: ac+ vV e dx = 20
  16. ex = raaro, tael aa - vD,:, quauror
  17. sit ) (aa- X∞) dx. X a e
  18. et pro We ponendo
  19. potusse imrostatim te
  20. mlap
  21. ast
  22. aa -vVI .C
  23. Ergo Y(aa-XX) ex = 29u
  24. Udo l ua tvo)
  25. adv Du (aa - vo:; aa+ vn): V
  26. fiet I(aa =XX) dx: X = a Z qui
  27. aquationem
  28. sa
  29. 2
  30. : a4
  31. v+ 2aaDvav. 2440,q (an tvn
  32. (EICD +vv). 20a0: aa+
  33. a vdvqu (aa- vD, aa tvn): vi
  34. .
  35. Et videorem
  36. Nam proponitur a saa reddi simpliciorem. Nam
  37. i
  38. e
  39. fiet Haa-at at: t
  40. (aa -XX) Xdx: XX, Eet XX = aI
  41. inon poterat him praevideri. Hinc sial da - at = WW fint + = aa-wv. et et -- 2Wat
  42. pproponims ssaa =XX) ap: X ut
  43. lat
  44. et habebimus Haa at) et: f = L
  45. 1
  46. v. WddW: da - WW
  47. ergo
  48. d
  49. seu curva cujus eos
  50. cissiee sinc
  51. e
  52. rreus sint pproporvuriales adsersis loganitimis si lonsfoitha
  53. numenis, pender
  54. ex quaoq tura syperdic
  55. quavalieras elem quibus summartum
  56. ementa
  57. ou a: aa Wii pendere a
  58. progivistonatu
  59. Paet etiam hanc divitia
  60. Olumenta a susa
  61. e cavicem.
  62. ., a f7). 7
  63. .2
  64. mti

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 84r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0167?run=74