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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 121

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: 0.89.

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

The machine reads it as

  1. PRINCTPTA MATETEMATTCA.
  2. I. C. L LC
  3. LL
  4. De Notu Corporum in Orbibus mobilibus, deque motu Apsidum.
  5. PROPOSITIO XLII. PRODLEMA XXX.
  6. Fifficiendum est ut corpus in Trajectoria quacunque circa centrum
  7. Virium revolvente perinde moveri possit, atque corpus aliud in
  8. eadem Trajectoria quiescente.
  9. In OrbC V P K PO.
  10. Sitione dato revolvatur
  11. corpus F pergendo a
  12. versus R. A CenErO
  13. C agatur Temper C p,
  14. quae st ipAC P aequalis,
  15. anoulumque VC p an-
  16. SulO VC F proxortio-
  17. nalem constituat; ec 2-
  18. rea quam linea C p de-
  19. scribit eric ad arcam
  20. VCD quam linca CF
  21. simul describie, ut velo-
  22. cicas lineae describentis
  23. Cp ad velocitatem li-
  24. nea describentis C F:
  25. hoc est, uc angulus VCp ad angulum VC P, adeoque in data ra-
  26. tione, ee propterca tempori proporrionalis. Cu aICd ICMPOTI
  27. proportionalis sic quam linea C p in plano immobili describie, ma-
  28. nifectum est quod corpus, cogente justae quantitaris Vi centripeta,
  29. revolri possic. una cum puncto p in Currâ illa linea quam punctum
  30. idem p ratione jam expolita describit in plano immobili. Finc ansu-
  31. lusV Cvangulo P C P, ec linea C W lincx C V, atque Figura u C p Li
  32. Surae VCZ aequalis, et corpus in p semper exictens morebitur in
  33. Peri-
  34. 22
  35. P RIMVS.

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 121. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0155?run=74