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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 14

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. DHTLOSOPMILL NAIVRALIS
  2. COROLLARIOM I.
  3. Fit hinc patet compositio vis directae AD ex viribus quibusvic
  4. obliquis AB e BD, es vicissim resolutio vis cujusvis directae
  5. AD in obliquas quascunque AB es BD. Quae quidem compositio
  6. es resolutio abunde confirmatur ex Mechanica.
  7. VE C de rocxe alicujus centro O excunces radii inaequales ON,
  8. ON Alis MIA, NT Iustincane pondera A_ F, e guarantur vi-
  9. res ponderum ad morendam rotam: Per centrum C agatur recta
  10. XOL. Elis perpendiculariter occurrens in R ex L, centroque O et
  11. interrallorum OK, OL. majoreOF
  12. delcribatur circulus occurrens AlO
  13. M A in D: ec actxe rectae OD P2
  14. rallela sE AC, et perpendicularis
  15. DC. Ouoniam nihilretert, utrum
  16. florum puncta R, L, D aAXa SINE
  17. an non affixa ad planum rocxe; pon
  18. dera idem valebune, ac R Cuipende.
  19. rentur a punctis R _ L vel D aEL
  20. Ponderis autem exponatur vis t0.
  21. caperlincam A D, e hxecrelOlvetur
  22. in vires AC, C D, quarum AC trahendo radium OD directcacen-
  23. ero nihil ralec ad movendam rotam; vis autem altera DC, trahen-
  24. doradium DO perpendiculariter, idem valet ac s perpendiculari-
  25. ter traheret radium OL. ipsi O D aequalem; hoc eAt, idem atque
  26. pondus P, si modo pondus illud sc ad pondus A ut vis D C’ad
  27. vim D A, id est (ob similia criangula AD C, DOK,) Ut OR
  28. adOD Ceu OL. Pondera isitur A ex P, quxe Punt reciproce uE
  29. radii in directum positi OK e OL, idem pollebune, ec sic consi-
  30. Aene in aequilibrio: jua est proprietas notissima Librx, Vectis, de
  31. AXis in Peritrochio. Sin pondus alterutrum sic majus quam inhac
  32. ratione, erit vis ejus ad movendam rotam tanto major.
  33. Duod si pondus pponderi F aequale parrim suspendatur Flo NV p,
  34. Parcim incumbat plano obliquo pC: agantur p (I, NFI, prior ho-
  35. rizonci, polterior plano pC perpendicularis; ex A vis ponderis p
  36. deorsum cendens, exponatur per lineam p II, resolri porest haec in
  37. vires pNV, IINV. Si Elo p N perpendiculare esset planum aliquod
  38. secuns planum alterum per in linca ad horixontem paral-
  39. lela; et pondus p his planis p P. pC Tolummodo incumberet; ur-
  40. BerCE
  41. AXION AT A,

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 14. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0048?run=74