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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 233

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: 0.84.

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

The machine reads it as

  1. PRINOIPTA MATHEMATICA.
  2. 2.33
  3. AE tempora quibus corpus deseribie arCuS GFP, PYY, CruNE in LIVEn
  4. lubduplicara ratione alcicudinum L. TT, NV I quaS COrPUS TemPO- SEOVNDOS.
  5. ribus illis describere posser, a tangentibus cadendo: de relocitates
  6. crunt ut lonsitudines delcripex GTI, FII direcre de tempora in-
  7. verle. LxPONANEUE tempOrA Per Y eE t, ec velocitates Per
  8. GTI
  9. eC
  10. :ec decrementum relocitatis tempore + Factum ex-
  11. DOnCtUT per CH IIL
  12. HIoc decrementum oritur a resistentia
  13. corpus recardante ee graritate corpus accelerante. Gravitas in
  14. corpore cadente ec sparium NVI cadendo describente, generat ve-
  15. locitatem qua duplum illud spacium eodem tempore describi Do-
  16. cuisset (ut Calibaeus demonstravic) id est, velocitatem =L =: 2E
  17. in corpore arcum FFY describente, auset arcum illum sola longi-
  18. cudinc TIT -H N CCu NTX NL
  19. citatem 2 MTX NI
  20. +XIII.
  21. I ideoque generat cancum velo-
  22. Addatur haec relocitas ad decrementum
  23. praedictum, ee habebitur decrementum relocitatis ex resistentia
  24. Cola oriundum, nempe CH NTT, 2MIXNI
  25. FXI
  26. Proindeque
  27. cum graritas eodem tempore in corpore cadente generet relocitatem
  28. W
  29. =5 Resictentia erit ad Gravitatem ut GH HI, 2NIX NL
  30. 24 2N Y
  31. AIVC DE =XGF
  32. TTY + ZMXX NI 2d 2Nf
  33. Jam pro abscisis CB, C D, C F SCrIbANEUE = 03 0, 20. PFO
  34. Ordinata C FY scribatur P, eE prO MY Scribatur series quaelibet
  35. D0 +R00 +50 Fecc. Ec Cerici termini omnes post primum.
  36. nempe R 00- F503 = _EC. CrUnE NVT, ex Ordinata D I, FK, e BC
  37. CxUNE P -90 = R00-50 =ecC, P = 20 - 4. R 00 - 8503 = eC.
  38. ec P + 90 = R00 +503 = scc. respectire. FC quadrando disse-
  39. rentias Ordinacarum BC =CFY _CHI -DI, ec ad quadraca pro-
  40. deuncia addendo quadrata iplarum BC, C D, habebuntur arcuum
  41. GTI, FTT quadrata 00 + 1900 -2OR0 F ecc, Sc 00 +00
  42. +2ORO + ecc. Ouorum radices ovI +
  43. DR00
  44. v1 +C
  45. 8

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 233. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0267?run=74