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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 144

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: 0.91.

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The machine reads it as

  1. 244
  2. PTIILOSODHLL NATDRALIS
  3. Nam si vis, qua corpus trahitur de T versus C, exponatur pet
  4. rectam TZ capeam ipsi proporcionalem, resolvetur haec in vires
  5. TY YZ; quarum YZ trahendo corpus secundum longitudinem
  6. Fili PT, morum ejus nil mutac, ris aurem altera TY motum ejus
  7. in curra SF R Q directe accelerat vel directe recardat. Proinde
  8. cum haec siC ut via describenda T R, accelerationes corporis vel re-
  9. cardationes in Oscillationum duarum (majoris ee minoris) parci
  10. bus proportionalibus describendis, crunt semper ut partes illae, et
  11. propterea Facient uc partes illae simul describaneur. COrpora autem
  12. qua parces eoris semper proxorrionales simul describune, simul de-
  13. ScribenE FOTaS. Q. F. D.
  14. Corol. Z. FTinc sI COrpUS Z Filo rectilineo AF a CenErO A pen-
  15. dens describat arcum circularem ST R _, e interea urocatur se
  16. cundum lineas parallelas deorlum a vi aliqua, quae sic ad vim uni
  17. Formem Crraritatis, ut arcus T R ad ejus sinum P N: aequalia c
  18. runt Oscillationum singularum tempora. Ecenim ob parallelas
  19. TZ. AR, similia crune criangula ATN, ZTY; _ PrOPtCrCa
  20. TZ erit ad AZ ut ZY ad TNV; hoc eA, (s Gravicatis vis unifor-
  21. mis exponatur per lonsicudinem datam AY) vis ZZ, qua OCcil.
  22. lationes eradene Tlochronae, erit ad vim GTravitatis AY, UE arCUS
  23. T R ipS TY aequalis ad arcus illius sinum TN.
  24. Corol. 2. Isieur in HIorologiis, si vires a Machina in Pendulum
  25. ad motum conserrandum impressae ita cum vi Graritatis componi
  26. POSTInE, UE viS tota deorlum semper sIE ut linea quae oritur avosi-
  27. cando rectangulum sub arcu Y R et radio AR ad sinum YN.
  28. Oscillationes omnes crune LlOchrOnE.
  29. PROPOSITIO LIV. PROBLEMA XZZVI.
  30. Concessis Ficurarum curvilinearum quadraturis, invenire Tempora
  31. quibus corpora Vi qualibet centripet a in lineis quibuscunque cur-
  32. vis, in plano per centrum Virium transeunte descriptis, descen-
  33. dent ex ascendent.
  34. Delcendat corpus de loco quovis s per lineam quamvis curram
  35. ST+ R, in plano per virium cencrum C cranseunte datam. Junga-
  36. EuP CS e diridatur eadem in partes innumeras aequales, Irque D d
  37. Parcium
  38. DE MOTV
  39. ConORON

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 144. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0178?run=74