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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 189

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: 0.90.

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

The machine reads it as

  1. PRINOIPIA MATHEMAEIC A.
  2. 1d9
  3. PROPOSITIO LZXXII THIEOREMA XLI.
  4. In Sphaera centro S intervallo S A descripta, si capiantur SI, S A,
  5. Se continue proportionales: dico quod corpusculi intra Sphae-
  6. ram in loco quovis attractio est ad attractionem ipsius extra
  7. Sphaeram in loco P, in ratione composita ex subduplicata ratione
  8. distantiarum a centro 1S, PS subduplicata ratione virium
  9. centripetarum, in locis illis P ∞ I, ad centrum tendentium.
  10. F E vires centripetae particularum Sphaerae sine reciproce ut di-
  11. ctantix corpusculi a se actracti; ris, qua corpusculum situm in P.
  12. trahitur a Sphaera eocas exit ad vim qua trahitur in P, in ratione
  13. P RTMDS.
  14. ComDOMCd ex Subduplicata ratione distanEix S L Ae MIILAHCTAn S+
  15. ee ractone subduplicata vis centripetae in loco L, d Pal
  16. in centro oriundae, ad vim contripetam in loco F ab eadem in cen
  17. ero parcicula oriundam, id est, racione subduplicata dictantiarum
  18. SE, SP ad inricem reciproce. IIxe duxe rationes lubduplicatae
  19. componuntrationem requalicatis, ec proprerea artractiones in L ec X
  20. a SPhaera tota Factxe aequantur. Simili computo, si vires particu.
  21. larunt Spharae Cunc reciproce in duplicata ratione dictantiarum, col-
  22. ligecite quod actractio in P sic ad accractionem in P, uc distantia SF
  23. ad Shaerae semidiametrum S A: Si rires illae sunt reciproce in eri-
  24. elicula ratione distanciarum, aractions L d L El ali
  25. cula aliqua
  26. lollu

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 189. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0223?run=74