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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 145v

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: 0.74.

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. 146r); this page is its left half.

The machine reads it as

  1. Sit jum aequatio aa Y dip +2C5 dCo + aa cod
  2. (alculemus alium Canonem
  3. 30 430. 31 2 F31 xy
  4. 40 3031
  5. hdt = 3831 dx +30. 31Xdy +
  6. x
  7. yax
  8. dy ydx
  9. 40. 3031 +40. 3
  10. m
  11. 46 h + hdh
  12. (33 g ex 5o. 3 xdyaresib e 190 3 ly re 113 y q. 1i 2y 17
  13. = P cOr uX L I Xy+ I2 Y+ (EOFUXFAIX dx + srot uyt duya
  14. 30 + 31X
  15. 30 + 30. 3IX +3F Xy, quius diffra est 30. 31 dx +3I Xdy c dh
  16. e
  17. 2xg37
  18. 12
  19. quami aequationem diferentianto prodeunt omnes forma
  20. 130.31 +31 Xyay )
  21. yax
  22. Calulare etiam possumus eatom determinationes aequationis famonicae talis
  23. sit ( dZ: dv = 10Z + 1 V, : 20Z + 21V. sit 3
  24. so
  25. e
  26. 30+31y ) 30+3031X + 3Pxy
  27. praeter X’ ax et x dy
  28. pxax 430. 31 x dy + 3031 xpo.
  29. 30431X L 3IXy + 322,6) O
  30. V
  31. 50+ 51Z + Suxy + 5+ ~
  32. et (= 40+ 41X +411Xy+ 42F Nam aequatio 1 est resolubilis per quadraturts. Porro valores ZecV
  33. 50+ 513 + SIIX9+ 32FQ debent habere communem denominatorem D et fiet:
  34. Fd0. 6d8, :3 21D - y d = 100 +119,:, 200 +21 D sed hanc aeq.6 explicando ex
  35. aeque 4 et 5 assugetur ad X dx. quod si velimus solum assurgi ad Xdx potest fieri
  36. 9 constans ut sit de =0 et 50 = 1; et 51, 511, 52 sint 0, et
  37. Quod si velunue
  38. conserinre e poterimus saltem pacepe sit = e, et 5220 vel poterimes
  39. vel retento 9 oportabit saltert Sacere 41, 42, et 311, 32, esse 0 sed prostat
  40. ut dixi farere constantem. Hoc posito ex org. 6 fat
  41. 20 d0 + 21 D d0 = 10 d D + 1D d D
  42. et
  43. C = 30+ 2. 30. 31 7 + 2. 3031IXy +2. 30. 32X F 311 Xy + 2. 31132 Xy, 4 3232 4
  44. jam d d0 = 31dx + 311 Xdq + 232 4
  45. d
  46. OdC = 30.31 ex + 30.311 rap + 2. 30. 32 Xdx 4 3IL.31Fy dy + 31IGL X dy. + 3. 31132 X ydx + 252 X a
  47. +2. 32
  48. +2. 91. 31 +31. 3Y
  49. dy 31.31 hax 21. 31 7 ay
  50. 2.32.32)7 xaxydx
  51. dd0 = 440. 21 14031 +2403a + 41. 3u
  52. +qu
  53. + 41. 31
  54. yady. Gdy
  55. 41

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 145v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0288?run=74