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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 173

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: 0.92.

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The machine reads it as

  1. PRINOIPLA MATHEMATICA.
  2. d qualicates PhysiCaS, Ped quantitates ec proxortiones Mathema-
  3. LTBE R
  4. ticas in hoc Tractaru expendens, uc in Detinitionibus explicui. In s
  5. Machesi investisandae Cune ririum quanticates ee rationes illae, que
  6. ex conditionibus quibulcunque politis consequentur: deinde, ubi
  7. in Pbplicam descenditur, conterenda sunt lixe rationes cum PhX-
  8. nomenis, ue innorelcat quaenam virium condiriones lingulis cor-
  9. Porum actractirorum generibus competant. Pt tum demum de vi-
  10. riuns specicbus, causis ec rationibus Phylicis tutius disputare lice-
  11. Dic. Vidcaus isitur quibus viribus corpora Sphaerica, ex parcicu-
  12. is olo jam expolito actractiris constantia, debeane in se muruo.
  13. sere, et Gllales morus inde consequaneuT.
  14. DEC, TIO
  15. XII.
  16. De Corporum Sphaericorum Viribus attractivis.
  17. PROPOSTTIO LXZ. THEOREMA XXX.
  18. Si ad Sphaericae superficiei puncta sineula tendant vires aequales cen-
  19. tripetae decrescentes in duplicata ratione distantiarum a punctis:
  20. dico quod corpusculum intra superficiem constitutum his viri-
  21. bus nullam in partem attrahitur.
  22. SIE ZTLK P superticies illa Splaeri
  23. ca ec P corpusculum intus consticu-
  24. cum. Per F asantur ad hanc super-
  25. ficiem lineae duxe IYK, IL arCUS
  26. quam minimos TI R L incercipi
  27. entes; e, ob triangula IIP L L. F
  28. per Corol. 3. Lem. VIT) Similia, arcus
  29. illi crune distantiis HP, L P PrO.
  30. portionales; e superticiei Sphaericx
  31. Particulae quaeris ad FTI _ RL, rCc-
  32. eis per punctum P tranleuntibus un
  33. dique terminatae, crunc in duplicata
  34. illa ratione. Ergo vires harum particularum in corpus P exercICA
  35. Tunc incer se aequales. Sune enim ut particulae directe ee quadrata
  36. dictanciarum iriverse.
  37. Ec hae dux raciones componunt racionem
  38. aquali

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 173. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0207?run=74