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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 196

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. PHTLOSOPMTAE NATDRALIS
  2. PROPOSITIO ZC. PROBLEMA ZLIV.
  3. Si ad singula Circuli cujuscunque puncta tendant vires aequales cen-
  4. tripetae, decrescentes in quacunque distantiarum ratione: inve-
  5. nire vim qua corpusculum attrahitur ubivis positum in recta
  6. quae plano circuli ad centrum ejus perpendiculariter insistit.
  7. Centro A interrallo quoris AD, in plano cui recta AF per-
  8. pendicularis est, describi incelligatur Circulus; et invenienda sIF vis
  9. qua corpusculum quodris P in cundem accrahitur. A C irculi puncto
  10. quoris F ad corpusculum atcrascum P agatur recta P P: In re-
  11. eta P A Capiatur P F ipSI P F. X-
  12. qualis, ex crigatur normalis PK,
  13. quae sIC uc vis qua punctum F Er2-
  14. hic corpusculum F. Sieque TRL
  15. curra linca quam punctum R per-
  16. Detuo tangit. Occurrat eadem Cir-
  17. culi plano in L. In F A capiatE
  18. FI aequalis F D, e crigatur per-
  19. pendiculum IT I currae praedicta
  20. Occurrens in L; _c erit corpuI-
  21. culi F accractio in Circulum uE area
  22. AITTL ducta in alcicudinem AF.
  23. D. F. T.
  24. tixenim in AF capiatur linea quam minima F. e. Jungatur Pe,
  25. _c in P F, P A CapIaNEUF F C, F fipI F e aequales. Fc quoniam vis,
  26. qua annuli punctum quodris P trahit ad sC CorpuS P, ponieur esse
  27. UE FKL, ee inde ris qua punctum illud trahie corpus P versus eA uE
  28. 3d viS qua annUIUS FOFUS EraHiE COrPUS Z verTuS A, ut
  29. AFXFK
  30. annulus ee
  31. L
  32. F
  33. conjunctim; annulus aurem iste est uc rectan-
  34. Sulum sub ractio F. ee laticudine P e, et hoc rectangulum (ob pro-
  35. Portionales P F, _ AF FC _ CF) aequatur rectangulo P P. XC, F,
  36. Ceu P F X FF; eric ris qua annulus ilte trahie corpuS F vertuS
  37. A. UE P F. XFf e
  38. AFXFK
  39. conjunctim, id cst,. ut contencum
  40. FFXFRX AP, SIVC UE area FRkf ducta in AF. EF prOpterca
  41. Cumma ririum, quibus annuli omnes in Circulo, qui centro ec in-
  42. terrallo
  43. DE NOTV
  44. PORPORVML

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 196. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0230?run=74