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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 133

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: 0.90.

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

The machine reads it as

  1. PRINCIPTA MATTEMATIC A.
  2. 33
  3. bi centripeta TV qua corpus Q in spatio liberO CIFCA CeNTTUM LIBEK
  4. datum C revolvitur, datuT PEr PFOD. ZLLI, tum PrajcctOria P _ R PRTMOS.
  5. quam corpus describit, cum locus D in quo corpus ad datum quod.
  6. vis tempus vertabitur, cum denique relocitas corporis in loco illo
  7. Q ec contra. 8. L.. I.
  8. PROPOSITIO ZEVII. THEOREMA XV.
  9. Posito quod vis centripeta proportionalis sit distantiae corporis a
  10. centro; corpora omnia in planis quibuscunque revolventia de
  11. Scribent Ellipses, S revolutiones Temporibus aequalibus perarent:
  12. quaeque moventur in lineis rectis, ultro citroque discurrendo;
  13. sinsulas eundi es redeundi periodos iisdem Temporibus absol
  14. vent.
  15. NTam, Stantibus quae
  16. in superiore Provolicio-
  17. ne, vis SV qua cOrDuS
  18. Din plano quovis FOR
  19. revolvens trahitur ver-
  20. Tus centrum S est ut di-
  21. Rantia SQ; acque adeo
  22. ob proportionales SV
  23. e Sd, TV et CQ, vis
  24. FV
  25. qua corpus crahi-
  26. tur versus punctum C
  27. in Orbis plano datum,
  28. eAt ut dictantia C. d. Vi-
  29. res igitur, quibus COr-
  30. Pora in plano P R
  31. verCantia FraHUnEUE Ver-
  32. sus punctum C, Tunt prO
  33. ratione distanciarum aequales viribus quibus corpora undiquaque
  34. crahuntur versus centrum S; ex propterea corpora morebuntur iil-
  35. dem Temporibus, in iisdem Figuris, in plano quoris P O R circa
  36. punctum C, acque in spatiis liberis circa cenerum S; adeoque (Der
  37. LOrOl. 2. PFOD. X, ec C. orol. 2. PFOP, XXXVLTL) Pemporibus (CMPCE
  38. aGua-

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 133. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0167?run=74