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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 58

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: 0.93.

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

The machine reads it as

  1. 8
  2. PETTLOSOPMTLLE NATDRALIS
  3. De MorO casu hujus Corollariis AED S+ D FF ad D FL uE 4 D Sad L, de
  4. dirisim DSad D HN uc 4 DS = F ad L.
  5. Corol. 2. Inde E datur corporis relocitas in verrice principali D,
  6. invenietur Orbita expedite, capiendo scilicet lacus rectum ejus, ad
  7. duptam distantiam D S, in duplicata ratione relocitatis hujus datxe
  8. ad relocitatem corporis in Circulo, ad distanciam D S, Orrantis (per
  9. Corol. 3. PrOP. XVI.) dein D EI ad DS uc lacus rectum ad differen-
  10. eiam inter latus rectum Sc 4 D S.
  11. Corol. 3. Ilinc etiam si corpus moreatur in Sectione quacunque
  12. Conica, dc ex Orbe suo impultu quocunque exturbetur; cognosci
  13. Pocest Orbis in quo postea cursum Cuum peraset. Nam componen.
  14. do proprium corporis motum cum moru illo quem impulsus solus
  15. generaret, habebitur motus quocum corpus de dato impulsus loco,
  16. lecundum rectam positione datam, exibit.
  17. Corol. 4. EF Si corpus illud ri aliqua extrinsecus impressa conti-
  18. nuo perturbetur, innotescet curtus quam proxime, colligendo mu-
  19. cationes quas vis illa in punctis quibusdam inducit, ec ex seriei ana
  20. logia mutationes continuas in locis intermediis aestimando.
  21. Scholium.
  22. Si CorpuS F vi centripeta ac
  23. punctum quodcunque datum R
  24. cendente moreatur in perimetro
  25. dacae cujuscunque Sectionis co-
  26. nicae cujus centrum sIE C, eE rC-
  27. quiratur L ex vis centripecae: du
  28. Catur C. C radio RF paralle
  29. la ec Orbis tangenti F C Oc.
  30. Currens in G _ vis illa (per
  31. Corol. Y ec Schol. PrOP. X e C OrOl. 3 PFOP. VIT.) exir uE
  32. CG cub.
  33. RP quad.
  34. D aMPON
  35. S F C FIO

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 58. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0092?run=74