Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 446

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: 0.88.

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

The machine reads it as

  1. PHTLOSOPHLA NATVRALIS
  2. L E MI M A V.
  3. Trvenire lineam curvam generis Parabolici, quae per data
  4. quotcunque puncta transibit.
  5. Sunto puHcCa AIIa , B, C, D, E, F, ecc. e ab iisdem ad rectam
  6. quamris positione datam fTN demitre perpendicula quoccunque
  7. AL BB CR, DE EM, FN.
  8. Cas. T. Si punctorum F, F, K, L, M, N aequalia sunE inter-
  9. valla IB IK, KL, _c. collige perpendiculorum AFI, BL
  10. CK, dec. ditterentias primas b, 2b, 3b, 4b, 5b, ecc. Cccundas c, 26.
  11. 3C34C, _C. tertias d, 2d, 3d, ecc. id cA, ita ut AE AII - BY =- b
  12. BF-CK = 2b, CK DL. = 36, DL + F M = 4b, = FM + FN = 5b.
  13. _c. dein b - 2b = c, _C.
  14. de sic persatur ad disse-
  15. rentiam ulcimam quae hic
  16. est f. Deinde crecta qua-
  17. cunque perpendiculari
  18. RS, quae fuerit ordina-
  19. tim applicaca ad curram
  20. quaelitam: ut inveniaeur
  21. hujus longitudo, Done
  22. incervalla AI, TK, RL,
  23. L. M, _cC. unitates eAC,
  24. ec dic ATI = a, TIS = p.
  25. 2p in - 15 = g, 39 in
  26. ad usque penultimum perpendiculum ML, ec praeponendo signa
  27. negatira terminis FTS, I5, etc. qui jacent ad partes puncti Sver-
  28. TuS A. et hona afirmatira terminis SR, SF, _C. qui jacene
  29. ad alceras partes puncti S. Et sienis probe obserratis, Cxit
  30. RS = a + bp + cg + dr + e5 +ft, ecc.
  31. Cas. 2. Ouod s punctorum LL, T, K, L, ecc. inaequalia sinE inter
  32. valla TTL, TK, ecc collise perpendiculorum AH, BI, CK, &c.
  33. differentias primas per incerralla perpendiculorum divitas b, 2b)
  34. 3b, 4b, 5b; sccundas per interralla bina dirilaS C, 26, 363 46, _c.
  35. cerrias per incerralla cerna diritas dn 2d3 3 c _C. QuartaS Per
  36. inter-
  37. .C
  38. 1dc
  39. DE NONDK
  40. YBTEMATE
  41. FSR = r, Zr in F SF = 5, Z5 in + SM = +; pergendo videlicet

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 446. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0480?run=74