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Leibniz-Handschriften zur Mathematik LH 35, 6, 6, fol. 24v

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: 0.81.

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

The machine reads it as

  1. u diffecentialis eut m Z. v +n X v d
  2. quae quantitus dabit divisa per Zp
  3. habit m v:
  4. Comparand tum
  5. dZ
  6. + n
  7. G m-e n-h -1
  8. pus V. ZF dz + pr Z. V de. quo es dif. se p ZV
  9. Et Gparando fit = pa et n = pr et = n.h et 9 = m - e
  10. Es e seu h = pr - Y et e = pg- 9
  11. c14
  12. id ergo exequendo.
  13. V disferentiaris erit puqu VE dq + pr ZE2 pN. 1
  14. quo divisa per
  15. P9. 9 p. ~
  16. V dabit q
  17. dabit
  18. Sit ergo
  19. -1
  20. pq Z. V dqu + pr Z V. do ut desiderabatur
  21. P9 Z
  22. -
  23. y2
  24. r-1
  25. v dz + pr Z V de = dy
  26. adeoque
  27. et p Z2p = X + a rursus pZV = y et fiel dx y = summabili,
  28. Sed malum est, quod ita X et y dantur inter se, quia omnia redeunt
  29. ad Z2V, tunquam umam quantitatem
  30. a quontur quitisnam sit X. sit ex x = a ix logia
  31. hatemus
  32. ergo aquationes duas; unam A = X. alterum C. X = a log. a qua
  33. duo non sunt
  34. Qavraa X ejus ciff est Pa dv: 2 sabtaa +. Sagiaa ax
  35. quae multiplicate per sanraa dat LZadV + avdx + aadx si absuiset D resfuiit in pde
  36. An sic: sec Z V +. Ejus diss est: a Z v . 2V. D +1 + m V. Z dq
  37. O = Z ses v. + 1. d0 = Z e (C) v. +1 n v do + m Z Ie (v. +1 dz
  38. dividatur per le-1) v + fietque
  39. enz p dv + im Z v dZ + im Z = de
  40. sed ita Rit vs non sucienit, nisi fieet e = 1. sed ita lC- 1) ∞a +1 = 1
  41. adeoque re vera nulla sit mulliplicatio
  42. ap: p = ax sit p = _ ax rbu Cx+ Cy ergo dx = X+ Cy adx bilus - a Xbu Cxrcdus
  43. X+C
  44. ergo ax: p = ex +ey a ex +bdus - ax abys sx t caus rbE Xay. hedx- hC y
  45. axabus +hoc Cx+Cy
  46. ax + bydeX +C
  47. Ergo dp. B +Y p = (X adx At X bduys) L(7 adx s+ Cy ledysC ax sx ( axctis - ly ly e tg. hita hecly a r anir 16c5 +
  48. (CX a ( dys + Cya d (+ C3bdus = axs) - axCdy - bigelxC Vscdys - Hax - hC dy + Y
  49. exbiq
  50. - be du = hc dy +bC Xdy, = be yda + Y a Cx et. sed ita video ob p additam assurgi
  51. altra, ut non possunt solli melius:
  52. 20X + 21y+a
  53. 402 isra hoc addantuo jnvice
  54. Hinc jam
  55. p =, O: D. Ergu do = 3d0 8 - 0d3: _DD. Ergo, dp: p = B D 10 - O+3,: 0
  56. uceum id illud theorema eegans. si sit p = O: D et g - 85 et r = 2: 8, en
  57. tique 0D= 86 - 24. EC fore dp: p + dg. 9 + dr: 7 = 310- C19 , a0- 8. + _ 9 12- 2d9
  58. et ita omnes isti habebiut per se coem divyorem
  59. Xid et xab
  60. Xta
  61. 21b

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 6, fol. 24v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068051:0048?run=73