Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 57, 1 · Bernoulli, Joh., fol. 158r

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: 0.83.

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. 162v); this page is its right half.

The machine reads it as

  1. hes distinctia sagima. ver ne
  2. dato
  3. quaecunque
  4. Si ex puncto A educatur (Recta AEH ocuurrens calvae EH
  5. quaeritur qualis nam sit constructio curvae, sit rectanus. sub
  6. ipsis AE, et AH aequetur quantitati datae.
  7. AF L.
  8. et FEy
  9. ssit Axis AFG, ordinatae EF, HG sAc v. BE,Z
  10. fiet SXxAgu +AX) +(Gy = aa. AA sit
  11. y - ce dax + H AX + 12 aX lax + 13 apxX + 19 PaaxX Vax erc
  12. fet B = Z. BF sit Z. et AB sit b. et Z = X - b seu X - 2 + b
  13. 2e _ seu X = Z+b y= b 2YX- t
  14. fet Xxtyy = (22 + 22b+ bb + er7 (-2
  15. et
  16. et b: y = b: seu seu y = ez+ eb,: b
  17. ergo siet 2q b eezqe + zecbZ f ec bb = 2bbrZ = bb79
  18. y = ErZ-
  19. 1Z
  20. AE sit v. fiet vV = qu+ abb fb+ 2Y7 + bb. seu fiet
  21. vv - bb . 2b + 2Y)
  22. V:, 2+b = b: n sit Xun = bZ+ bb.
  23. sit
  24. vo Lf Y aa sit alia, quaecunque aequatio inter V et Z
  25. a
  26. ut fevtgqZ + AvZ + Mv + pZ +aga, ubi pro Z substituatur valor
  27. nempe nV - bb, : b fiet Qvy + mv +aq + Q nnr B2quib V + 3bb + L n vr ∞ LbV
  28. a
  29. bb
  30. + pr v - pb = 0
  31. a
  32. Ut
  33. debet , + aq + gbbs - pb.:
  34. e
  35. a
  36. a
  37. a b
  38. la a
  39. + onn + ln esse = au
  40. abb
  41. ab
  42. est autem sola n variabilis sen inconstans
  43. y
  44. e
  45. nempe
  46. AE ex
  47. alia atque alia pro data recta ut assumitur recta
  48. uto punctus At educenda, ergo, st evonescat n, oportet facere
  49. et aequatio ad curdum EH, nt relationem
  50. exprimens inter curcu At BC seu Z, et AE seu v, erit
  51. 9 = 0 et l
  52. Sov + mv + pZ + ag = 0. Est autem 21 =
  53. estantem (92+2sq = bb. vD ZC 2bZ- bb 2 sed
  54. sed 5ov = yy +22+ 2b2 + bb fiet 7y +f 22 + 2b fZ + fbb + mrgyt27 + 2b7 +bb
  55. 2
  56. quae aequatio est ad circulum
  57. a
  58. si m= 0. Sin ninque ad curvam altiorem
  59. + pZ + aq =0
  60. quae etiam satisfacit

Cite

LBr. 57, 1 · Bernoulli, Joh., fol. 158r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-958803:0317?run=74