Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 437 · Huygens, fol. 44r

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: 0.79.

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. 43v); this page is its right half.

The machine reads it as

  1. Gadem j um MMethido poterimus assequi DB = gy. 2x = 2X
  2. _ -2X (1B: 9 Seu dx: dy = yy: 2yX = 2k: y et ut aute faciendo y: X = v. a, fiet ay = XY
  3. et ady = X dr + vax, et fiet: adx: Xdv + vdx = v: 2a - 2a: V, seu
  4. 2aV dx: xdv + vdx = vo - 4aa. et pro 2aa ponendo bb, fiet
  5. bb v dx = vwxdr + v dx = 2bb Xdp - 2 bb v dX, et dx: x = vv - 26b du: 3bbv - v
  6. jam YB. 2bb,: 3b jam 3bb vocemus cC fiet bb = ec et dx: X = Dv - 2 bb du: CC v - v
  7. quod et prioribus
  8. et quantitatem vv -Z CC: Ccv- v resolvamus ut ante in l: v + m. H D + n. V. b fiet.
  9. =1 cc - l rv + m 6V, : ccv- v et conferendo, fiet l = - = mon = 0 seu n = - m
  10. et -l -m + n = 1 seu + 2 - 2m = 1 seu 2M = - 1 seu m - - =
  11. n.
  12. itat quod experianur Lis L. 3: V - 1: 8: CFB + 1: 6. E B = - E.3 CP - VB - 1. 6 acrB + 1.6 e B cb.
  13. n
  14. = (9cc +400 - c v + vV + Cp L BB, seu) YVB - ZCC,: cv-V, ut desiderabatur
  15. linc prodt g e - 2 log v L log. C + v 4 bg V = log. X + A. seu
  16. cCP - v.
  17. iom e tum
  18. dam legem homogenectum.
  19. - 4 log V log C+ V B log. C - D = 6 log X - 12 log Y
  20. seu fiet r=axXer CCX rx
  21. re v rece = r YB = X v et quia XB = ay, et vV = aayy : xX
  22. sict r uxrayay fret vcc XX- paayy - xxahyt et pro ce ponendo 3bb seu baa, fiet
  23. 6YEXX regy L aAXXV, et Er: aa Xxy: xx yy cujas
  24. quaerendo differentialem, fiet 6XX gy ry +d A axu rxdr 2ydy -
  25. seu (rX3 24 Xtydys = 2y X AX - ∞ CXy dy (= 12 X G. x ( 2X y dy
  26. seu 12X dg - s 2x = Xis dy seu dy 149 = 1B. y = 12X3.9 X. y
  27. est enor alicubi in calculo
  28. B IB debet esse DB = yy 2X V se DB. BCAu GB - g. 2 . 9 = dxi ly
  29. sit X y1X = v: a seu VX = ay piet a dy- vx erdo, et adx,. raxtudo = v. 2a - 2a: v
  30. = un 4225 2 aV ar proinde 244 V x = v’ ax + vvx dv- raavdx- 4a ax dv
  31. seu 3bbP AX: X = dv vv 2bb, :3bbv B sit 3bb - cc fie
  32. tx: x = d0, ova cc c p
  33. cujus quaerendo differentialem, fiet B12y Xdx + A X y dy = 6y ay, seu 29xdx = y ag- 4
  34. et ax: 1y 8 (= 38: 9) = y, 1X - 2X: y seu DB =9y: 2X - 2X, ut desiderabatur
  35. r -bdx- a

Cite

LBr. 437 · Huygens, fol. 44r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-3595205:0087?run=74