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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 176

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.

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The machine reads it as

  1. 176
  2. PHIILOSOPMIIH NATORALIS
  3. Ot Moro verse. Sed particulae sunE ut Sphaerae, hoc est, in ratione tripsicgru
  4. conxorom diametrorum, ec distantix sunc uc diametri, et ratio prior directe
  5. una cum ratione posteriore bis inverse est ratio diametri ad diame-
  6. trum. d. F. D.
  7. Corol. T. Fiinc Si corpuscula in Circulis, circa Sphaeras ex materia
  8. aequaliter actractira constantes, revolvantur; sintque distantix a cen-
  9. eris Sphaerarum proportionales carundem diametris: Tempora peri-
  10. odica crune aequalia.
  11. Corol. 2. FF vice versa, si Tempora periodica sune aequalia;
  12. dictantix erune proportionales diamerris. Constane lxec duo per
  13. COrol. 3. PFOP. IV.
  14. Corol. 3. Si ad Solidorum duorum quorumris similium ec aequali-
  15. ter denlorum puncta singula tendane rires aequales centripetae de-
  16. crescentes in duplicata ratione dictanciarum a punctis: vires qui-
  17. bus corpuscula, ad Solida illa duo similiter sicas atcrahentur ab iis-
  18. dem, erunt ad inricem ut diametri Solidorum.
  19. PROPOSITIO LXXIII. THEOREMA XXXIII
  20. Si ad Sphaerae alicujus datae puncta singula tendant aequales vires
  21. centripetae decrescentes in duplicata ratione distantiarum a pun
  22. Etis: dico quod corpusculum intra Sphaeram consticurum attra-
  23. bitur vi proporcionali distantia suae ab ipsus centro.
  24. In Sphaera ABC D, cenero S descripta,
  25. locetur corpusculum P; e centro codem S,
  26. interrallo SP, concipe Sphaeram interiorem
  27. PF. QF describi. Manitectum CA, per PFOP.
  28. EXX, Quod Sphaericae Superticics concentri-
  29. eae ex quibus Sphaerarum disterentia AF. B
  30. componitur attractionibus per attractiones
  31. contrarias destructis, nil agunt in corpus
  32. P. Restat sola acrractio Sphaerae interioris
  33. PF QF. RE PEF PFOD, LXXFT, haeC CA ut
  34. distantia FS. d. F. D.
  35. Scholium.
  36. Superficies ex quibus Colida componuntur, hic non sunt pure
  37. Machemarica, sed Orbes adeo tenues ut eorum crassitudo inctar
  38. ldt

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 176. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0210?run=74