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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 185

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: 0.84.

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The machine reads it as

  1. PRINCIPIA MATHEMATICA.
  2. 3
  3. Rtenim Bantibus quae in Lemmate ex Theoremace novissimo
  4. constructa sune, concipe axem Sphaerae AB diridi in particulas
  5. innumeras aequales D d, ec Sphaeram totam dividi in coridem
  6. laminas Spharicas concaro. conrexas P Ffé; ec crigatur perpen-
  7. diculum an. Per Theorema superius, vis qua lamina L l fe
  8. trahic corpusculum P es uE D F 9X FF ec vis particulae unius ad
  9. distantiam F F. vel F F exercita conjunctim. FK autem per Lem
  10. ma novissimum, D d ad Ff uE F F. ad FS, e inde Ff aequalis
  11. PSX T
  12. PF; _C D F gX Ff aequale D d in D F. qZFS
  13. DF d proPter.
  14. ea vis laminae F. Ffe CA ut D d in D E. qX Pd
  15. EPF
  16. ex ris particulae ac
  17. distantiam P F exercita conjunctims hoc cA (ex FIy pOtheM) ut
  18. DNX D d Ccu area eranescens D Nn d. Sune igitur laminarum
  19. omnium vires in corpus F exerCIta, UC arCK OmneS D NVnd, hOC
  20. es Sphaerae vis FOLD uE arca toca AB N A. 9. F. D.
  21. Corol. T. Flinc s vis centripeta ad particulas lingulas cendens,
  22. eadem semper maneat in omnibus dictanciis, e Aat D N uE
  23. DF 9XES
  24. F: erit vis tora qua corpusculum a Sphaera attrahitur,
  25. uc arca AB N A.
  26. Corol. 2. Si particularum vis centripeta sit reciproce ut distantia
  27. corpusculi a se actracti, et Aat D N uE F.gXPS
  28. FF
  29. : Crit vis qua
  30. corpusculum P a Sphaera eora actrahitur ut arca ABNA.
  31. Corob. 3. Si particularum ris centripeta sic reciproce ut cubus di-
  32. Tantiae corpusculi a se aEFractis _E HAE D NV UF D F. gX PS.
  33. F Lg.
  34. crit
  35. vis qua corpusculum a cota Sphaera accrahitur ut area IB NV A.
  36. Corol. 4. EF universaliter si vis centripeta ad singulas Sphaerae
  37. Particulas tendens ponatur esse reciproce ut quantitas V, Hac au-
  38. tem D N UE D E gXPS
  39. PF. YV; erit ris qua corpulculum a Sphaera tota
  40. accrahitur ut area AB LIA.
  41. lo TH K_
  42. PRLMD
  43. CROFC

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 185. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0219?run=74