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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 195

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: 0.89.

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The machine reads it as

  1. III
  2. PRINCIPTA MATHEMATICA.
  3. ex erie G commune centrum graritatis particularum A ex B. Vis
  4. TiFB P. B
  5. AX AZ (per Ledum CorOl. 2.) resolvitur in vires AXCZ e AX AG Pnruvs.
  6. ec vis BXBZ in vires BXGZ de BXBG. Vires aurem AX A6
  7. de BX BC, ob proporrionales 1 ad B e B ad AC, aequanEuT;
  8. adeoque cum dirisaneur in partes contrarias, se mutuo destruune.
  9. ResanE virCS AXCZ _ BXCZ. Tendunc hxe ab Z versuS cen
  10. erum C, _ vim A F B X CZ componune; hoc est, rim candem ac
  11. E particulae actractirae A sc B conlisterent in eorum communi or2-
  12. vitatis centro C. CTlobum ibi componentes.
  13. Lodem argumento, si adjungatur parricula certia C, dc compo-
  14. natur hujus vis cum vi A f B X GZ cendente ad centrum G; vis
  15. inde oriunda tender ad commune cenerum gravitatis GTlobi illius C
  16. ex particulae C; hoc est, ad commune centrum graricatis erium par-
  17. cicularum 1, B, C; ex eadem erit ac s Globus de particula Cconsi-
  18. Cerent in cenero illo communi, Globum majorem ibi componentes.
  19. EE sic persitur in infinitum. Fadem eA igitur vis cota particula-
  20. rum omnium corporis cujuscunque RST V ac E corpus illud, ser-
  21. vato gravicatis centro, hguram Clobi indueret. 9. Li. D.
  22. C. OrOI. TIinc motus corporis accracti Z idem erit ac sI COrDUS
  23. actrahens RSTV eet Sphaericum: ec propterca si corpus illud
  24. actrahens vel quielcat, vel progrediatur unitormiter in directum;
  25. corpus aecractum morebitur in Fllipsi centrum habente in aEEra-
  26. hentis centro gravitatis.
  27. PROPOSITIO LXXXIZ. TIIEOREMAXEVI
  28. Si Corpora sint plura ex particulis aequalibus constantia, quarum vi-
  29. res sunt ut distantiae locorum a sinculis: vis ex omnium viri-
  30. bus composita, qua corpusculum quodcunque trahitur, tendet ad
  31. trahentium commune centrum gravitatis, e eadem erit ac si
  32. trabentia illa, servato rravitatis centro communi, coirent in
  33. Clobum formarentur.
  34. Demonstratur eodem modo, atque Propositio superior.
  35. Corol. Ereo motus corporis attracti idem erit ac i corpora tra:
  36. hencia, serrato communi graritaris centro, coirent et in Gilobum
  37. Formarentur. Ideoque si corporum crahencium commune gravita-
  38. eis cenerum vel quiescie, vel progreditur uniformiter in linea recta:
  39. corpus actractum movebitur in Ellips, centrum habente in com-
  40. muni illo crahentium centro gravitatis.
  41. C
  42. MMIIIIIII
  43. le
  44. MHDHTHEHTEMMIHEMEMHEIMHEEIIII

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 195. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0229?run=74