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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 42

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: 0.82.

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

The machine reads it as

  1. IIIIMIMIMIIIII
  2. +2
  3. PHTILOSOPHLSE NATDRALIS
  4. De MOrO Cl Pagittx dupli arcus e P, in cujus medio cAt P, et duplum crian-
  5. Sulis F sire SP X QT, tempori quo arcus ilte duplus describitur
  6. proxorcionale cAt, ideoque pro temporis exponente scribi potest.
  7. Corol. 2. Eodem argumento ris centripeta cA reciproce uc solidum
  8. ST4X Q 4, A modo Sr perpendiculum sit a cenero virium in Or-
  9. K
  10. XQUanEUT.
  11. eESFXd
  12. Corol. 3. Si Orbis vel circulus est, vel angulum contactus cum cir-
  13. culo quam minimum contince, eandem habens curraturam cundem-
  14. que radium curratura ad punctum contactus P; et II F V chorda
  15. sic circuli hujus a corpore per cenerum ririum acta: erir vis cenrri-
  16. Deca reciproce ut solidum SYgZ PV. Nam PV CA 9
  17. R
  18. Corol. 4. Tisdem positis, est ris centripeta ut velocitas bis directe,
  19. et chorda illa inverse. Nam relocitas es reciproce ut perpendicu,
  20. lum STper Corol. E PrOD. T.
  21. Corol. 5. Hlinc (i detur Agura quaeris curvilinca A P 9. dc in ca
  22. detur etiam punctum Sad quod ris centripeta perpecuo dirigitur,
  23. inveniri porest lex vis centripecae, qua corpus quodris F a cursut
  24. rectilineo perpetuo retractum in Aguex illius perimerro detinebitur
  25. eamque revolrendo describet. Nimirum computandum cA vel (0-
  26. lidum S 4Z ~ FQ vel solidum SZgX P V huic vI rCCIPFOCCPrO.
  27. C
  28. e
  29. portionale. Ejus rei dabimus exempla in Problematis sequentibus.
  30. PROPOSITIO VII. PROBLEMA II.
  31. Orretur corpus in circumferentia Circuli, requiritur L ex vis centri
  32. petae tendentis ad punctum quodcunque datum.
  33. Esto Circuli circumterentia
  34. DP A. punctum datum ad
  35. quod visceu ad centru Cuu ten-
  36. dicS, corpus in circumferentia
  37. lacum F, locusproximusinquem
  38. morebitur 9. ex circulitangens
  39. ad locum priorem F RZ. PeF
  40. punctum Sducatur chorda Y
  41. Sc acta circuli diameeroV A
  42. Batur AP, _ ad S P demittatur
  43. perpendiculum _T, quod productum occurrat
  44. genti P R
  45. 1t L
  46. I1
  47. CIIIIII
  48. 11I
  49. pI
  50. 11I
  51. 11
  52. L OMPOROM
  53. 2

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 42. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0076?run=74