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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 108

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.

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

The machine reads it as

  1. 1. 00
  2. PHILOSODHILE NATVRALIS
  3. PROPOSTTTO XXXIV. THEOREMA X.
  4. Si Figura BF. D Parabola est, dico
  5. quod corporis cadentis Veloci
  6. tas in loco quovis C aequalis est
  7. velocitati qua corpus centro B
  8. dimidio intervalli sui BC Cir-
  9. culum uniformiter describere
  10. potest.
  11. Nam corporis Parabolam
  12. R F B circa centrum S deseri-
  13. bentis velocitas in loco quovis
  14. F (per Corol. 7. PFOD. XVF.) X-
  15. qualis est velocitati corporis di
  16. midio intervalli SF Circulum cir-
  17. ca idem cenerum s’uniformitee
  18. describentis. Minuatur ParabolX
  19. lacitudo CF in infinitum co, uE
  20. arcus Parabolicus PfB cum rCC-
  21. taCB, centrum S cum vertice B,
  22. A
  23. e interrallum SP cum incerrallo BC coincidat, et constabie Pro-
  24. DOHtiO. Q. F. D.
  25. PROPOSITTO ZZEV TTTEOREMA XI
  26. isdempositis, dico quod area Figurae D ES, radio indefinito SD de
  27. scripta, aequalis sit areae quam corpus, radio dimidium lateris recti
  28. Fieurae DES aequante, circa centrum Suniformiter egrando, eo-
  29. dem tempore describere potest.
  30. Nam concipe corpus C quam minima cemporis particula lineo-
  31. lam Cc cadendo describere, ee interea corpus aliud K, uniformi
  32. ter in Circulo ORk circa centrum s’grrando, arcum Rk delcri-
  33. bere. Frisantur perpendicula CD, cd occurrentia Figura D FS
  34. in D, d. Junganeur SD, Sa SR, St e ducatur D d axi AS Oc.
  35. renS in F, ec ad eam demittatur perpendiculum SJ.
  36. ).
  37. DE MOrC
  38. LOxPOKDM

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 108. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0142?run=74