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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 199

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: 0.88.

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The machine reads it as

  1. 1II
  2. PRINOIDLA MATTIEMAEIEA.
  3. 299
  4. qua Sphaerois trahie corpus P erit ad rim qua Sphaera, diametro AB LIDEK
  5. deseripea, trahie idem corpus, yt SX C S9 = PSZRMRR enimvs.
  6. 2c
  7. AS cub
  8. +d9 + Cdg = Ad9
  9. 3+ o quad Ec eodem compurandi functamento invenire licet
  10. rires seomentorum Sphaeroidis.
  11. Corob. 3. Ouod E corpusculum inera Sphaeroidem, in data qua-
  12. vis ejusdem diametro, collocetur; actractio erit ut ipsius distantia a
  13. centro. Id quod Facilius colligetur hoc argumento. Sit ACOL
  14. Sphaerois accratiens, s centrum ejus e P corpus attractum. Per
  15. corpus illud F aoantur tum Cemidiameter SF A, cum rectae dux
  16. quaeris D F, FC Sphaeroidi hinc inde occurrences in D eE F, F
  17. _ G: Sintque FCM, TTL. N superticies Sphaeroidum duarum in-
  18. teriorum, exteriori similium ec concentricarum, quarum prior crant-
  19. CaC per COrpuS P et seceF rectas D F. e LC in B et C, polteriOr
  20. secet caIdem rectas in II, I et K, L.
  21. omnesazem communem, Si crunt rect-
  22. arum parces hinc inde intercepte D
  23. et BF, F P _E CCY, D HT_E IF, FR
  24. ec L. C sibi muruo aequales; propterea
  25. quod rectae D F, Y B d FIT bilccan-
  26. tur in eodem puncto, ut ee recte LCr.
  27. PC _ RL. Concipe jam D P F
  28. E P G delignare Conos oppolitOS, an-
  29. sulis verricalibus D P F, F P C infi
  30. nice parvis descriptos, ec lineas etiam
  31. Hlabeanc aurem Sphaeroides
  32. DFI, F. I intinice parras ese; ex Conorum particulx Sphaeroidum
  33. superticiebus absciNa D FYR F, GL PF, ob aequalicatem linearum
  34. DFI, P P, erunc ad invicem uc quadrata distantiarum suarum a
  35. corpusculo P, ec propterea corpusculum illud aequalicer crahene.
  36. Ec Pari ratione, si Superticiebus Sphaerondum innumerarum cimilium
  37. concentricarum ex axem communem habencium diridaneur spacia
  38. DP F, P GCB in particulas, hx omnes uerinque equaliter era
  39. henE COrDUS P in ParteS contrariaS. A. quales isitur lune vires
  40. Coni D P S ex seementi Conici L.CFC. B, ex per contrarietatem le
  41. mutuo destruune. LiEpar est ratio virium materia omnis extra Splxe
  42. roidem intimam PCB M. Trahitur igitur corpus P a Sola SphX
  43. roide intima D C B M, ec proprerea (per C Orol. 3. PFOP. LXXII). aC.
  44. tractio ejus est ad vim, qua corpus A crahicur a Sphaeroide tota
  45. 46OD, ve distancia P S ad dictantiam AS. 8. L. D.
  46. L ll

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 199. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0233?run=74