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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 20v

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: 0.71.

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The machine reads it as

  1. addx axayiut aadu dex: ys = y ady. ddy seu
  2. e posito cy: cd y. a seu day 7 d
  3. ddx dx c0. + coco ddx = y ady adu iet dy adyus = dxdxco, conalu
  4. Ergo
  5. Co dx: 2 + coco x = itue: 3b seu 30 +61o dx
  6. seu x + 2co dx 4 c = co + 2dy: 3. adedq
  7. Ax + a = 13co 4+ 2dy31. 13 est autem co- adus : y
  8. 15
  9. e
  10. go sit X + sady: y =) dy: B Y3a4: gy +2f): a. Et rla
  11. redtuctus est calculus ad quadraturas
  12. ca
  13. 5
  14. u
  15. fie nosse
  16. l
  17. Notandum nin autum
  18. avonatur pro arbi hrio relatio
  19. B
  20. et
  21. t
  22. esse ut
  23. niter X, ax et adue
  24. seit assunt sed ejus loco assimi posse
  25. e eliam
  26. delrationem inter et V: X d y:X, dd y: x vet
  27. e
  28. s
  29. et pri y: x assumi posse armulam quam cumque com
  30. X et ys et erelationem inter difereatios differenta es egus
  31. e.
  32. e
  33. se
  34. quositam ex
  35. tionem satam transformare ut preddatur tractabilis
  36. e
  37. 1
  38. s
  39. Aliud inventum sd non aequi generate
  40. ydy + X dx = y dx
  41. sit yy+Xx -Z a2
  42. dumamus yy + xx ese progressionis Acithmeticae,
  43. l y dx =0 seu y ddx + Cy Ax = 0.
  44. eam
  45. res
  46. Ergi
  47. - dx: dx id est S. yytxX
  48. sumantur progressionus Arithmeticae erunt ipsae dx
  49. afet cy: y
  50. siu deut 1:y
  51. ipsis Y proportionales, et ut crescent dx, ila de crescent y
  52. tollamus V sit q yy+ XX = aZ et y = saX - XX et dy = adZ- 2X Ap: 21 a
  53. E
  54. et fiet d95Y= 4a xdx da e Cuatnxae tog ax log.
  55. C
  56. age uenez 25L Xx= log idam et hic patitum

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 20v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0040?run=74