Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 437 · Huygens, 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: 0.74.

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

The machine reads it as

  1. si Aequatio pro curva in qua grave aequaliter recedit a certo puncto
  2. 0 = Vv - 2b VX P + b V - a xV + a XG. per compend l + m8 +n8 = 0. se n
  3. siet ung +mnG +C1: 4 mm = r: amm ul. seu ng +I: Em = (1: 4mm -n
  4. seul
  5. x-bv+ VaxD- axV+VX
  6. seu 8= 4 Imm: 4 -nt C = m. 2, : n
  7. seules
  8. bb- ax in xx- ensen,
  9. bV = axv + aX
  10. bex et debet T X = b V + a XV - a X aquari quadrato X co + 2Xco CV + e v
  11. quam aequationem dividendo in duas fit: b = ax = co et - b v + axV = 2XcoC + ev
  12. ergo X = b - co: a et C 2e; AX tb = 2X B, et v- 2xcoC
  13. seu v = 2XCdC -coco - ee. seu v2 2000br 2coC 10c0. bb: a cogree
  14. e
  15. est ergo bb = ax quadratus, et ex b 2bco +c00a Ae co co
  16. 2x- bb- vx
  17. eoo
  18. et X V debet etiam esse quadratus nempe b- 2b co + co :ae - 4c Fco - bb : a L 1 c r eC
  19. est ergo X - V = _ b - co: a (2), in 1 = 48C: 12) +C. id est in
  20. X - V = X ∞. BP. in , - 2coC: cC2), id est N in (cote C. es te
  21. id est x in ree: ce est. ei
  22. seu X in co + 20e + 07 - 4cde, co + 20e +C, se X in 1) co-e: cote
  23. ergo S bb = aX in X - V = C X co=e: c + = co b - cs. co - e: a0 co+0
  24. est erno B Vt - a Xv= 7 aX = b v + ax X - v. seu bv + b- Cot () b- cor. c- et: a. co e
  25. seu ab ae ( ∞=- bb: a. c04 et + b-c0 (o co C: a. cote
  26. habrum ergo X = b= cor2 a v = 2c0: c0co -bb :st c +e
  27. et 8-2 o C. C0c0 - bb, c0. Fb coco coco- ee b bb- coco. Co b
  28. - 46 ∞ e (2) c - b + c - 6 ( lco - b 0 r
  29. drmre collehect coco b du = 2acoco +ee coe rcodio tcoro bo codet edio - vevbohs
  30. (2) co+e
  31. dx- - 2codco: a
  32. 2mtZbMErvX + 2bm 3t VX + 2bm WVV3 X
  33. +4b
  34. 1P621
  35. ra...-
  36. ... + 4b23t +alp
  37. .
  38. a
  39. +tb p3+V ~ +4(p W v X
  40. 3a...
  41. 4b0 2..
  42. a....
  43. 1400
  44. X+
  45. a
  46. 10 10D- +D0
  47. 2codcot rede
  48. AbpqVX tabp ErVK
  49. +4b109..
  50. dnt
  51. Ab2 W0 WXV
  52. 4b W0 3F V X
  53. 3a
  54. a

Cite

LBr. 437 · Huygens, fol. 24v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-3595205:0048?run=74