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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 143r

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: 0.77.

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The machine reads it as

  1. dya 10
  2. 0 = dy + 10 3 dub 20 = dydus H Cos
  3. Sit data aequatio du dydus=
  4. -10. 10 = e
  5. O= dy + 10, dy + 20, = dy du + 10 dy + 10. 20 E y
  6. 20
  7. 10010-210
  8. fiet dydus + 1ody +1(10. 10 + 2. 10.20) - 1(10. 10- + 2010.20) - 10. 20 - 2020
  9. seu d dy + 10 = = 10 4,20,: 2
  10. a0
  11. et 20. 20
  12. AG 1 10y + 1dy +12, 20y +81 dy + 22
  13. abit
  14. s
  15. 20.. A 20. 20
  16. = 0 dube
  17. yy + 10. 20yy4 10. 28y 4 1]. 21 dydy + 11. 22 dy 4 10. 2l ydy +12. 22
  18. +12 21 du 11. 20 y dy
  19. Ergo
  20. (2. 201)
  21. iat 22 = - 12. 20: 10 = ( - 12. 21: 11 et 11. 20 = 10. 21 seu -
  22. e
  23. possumus restant 10. 2099 4 11.11. 20 dydy + 211. 20 ydy - 12. 12. 20 =0
  24. 3
  25. 10
  26. quae aequanda est datae multiplicatae per arbitrariam 0 30. 50yy + 31. 5odydy +3250y d 5)
  27. fiet 3050= 10 20 50 = 10. 20: 30 = I1. 11, 20: 10. 31 fit 10. 10, = 11. 11. 30. atiue
  28. 10
  29. Rursus 50 = 10. 20: 30 = 2. 11. 20: 32 fret 10. 32= 2. 11. 30. vatur trum
  30. estat et fiet yt: 3) = + (31.30)
  31. e
  32. sa
  33. 32: 2.30 resta t 10. 20: 30 = - 1232.20. 12
  34. a
  35. Tantum ergo efficiendum est,
  36. 32. 32. 30(30) seu 32 = 2 1(36.31). Frane
  37. = (8. = 10,10. 32. 30
  38. 30
  39. ut sit 431. 30)
  40. Videnmus an hoc modo transformare liceat datam
  41. sit
  42. py, et
  43. data 40 VV + 41 av dv + 42 vdo + 43 = frat Y
  44. au-ex ay +pdy
  45. fiet 40 ppyy + alspdydus 12 a Ipdp ydy + 4. 3W 30yy + 31 dy dy +32y ly +3)
  46. d
  47. Al apap G
  48. 42pdpgys +
  49. + pso ydy
  50. sed hoc praectare paulo
  51. C
  52. difficilius ut sit 32.323. 30
  53. _ yd 12 = a 10B d + 1 = 0 fia
  54. et av = dpH + pdus Ergo fit 10 x ap yy + ppydu
  55. V = P
  56. et

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 143r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0285?run=74