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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 375

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: 0.91.

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The machine reads it as

  1. IIIII
  2. RENCTDTA MATHEMATTCA.
  3. ROPOSITIO XII.
  4. THEOREMA XIII
  5. Planetae moventur in Fllipsibus umbilicum habentibus in centro
  6. Solis, radiis ad centrum illud ductis areas describunt
  7. temporibus proportionales.
  8. Dispurarimus supra de his moribus ex Phxnomenis. Jam cog-
  9. nicis motuum principiis, ex his colligimus motus calettes a pri-
  10. Ori. Ouoniam pondera Planetarum in Solem unt reciproce uE
  11. quadrara distantiarum a centro Solis; (I Sol quiesceret e PlanCEX
  12. reliqui non agerene in se mutuo, Forent orbes corum Ellipticis
  13. Solem in umbilico communi habentes, et areae describerentur tem-
  14. Poribus proportionales (per PFOP. L. _ XF, de CorOl. L. PrOP.
  15. ZITT LIb. I.) Actiones autem Planccarum in se mutuo perexiouae
  16. TUInE (BE POssinE contemni) se mocus Planccarum in FIipsibuS
  17. circa Solem mobilem minus perturbant (per PFOP. LXVF. L ib l.)
  18. quam si motus isti circa Solem quiclcentem peragerentur.
  19. Actio quidem Poris in Sacurnum non est omnino concemmenda.
  20. Nam graritas in forem est ad gravitarem in Solem (paribus di-
  21. Aantiis) ut 1 ad 2033; adeoque in conjunctione joris de Saturnis
  22. quoniam distantia Saturni a Pore est ad distantiam Sacurni a Sole
  23. fere uc q ad on erit gravitas Saturni in fovem ad graritarem Sa-
  24. turni in Solem uE 8F 2d 16X 1033 TCu F 2d 204 Circiter. LE
  25. hinc oritur percurbatio orbis Sacurni in singulis Planetxe hujus
  26. cum Jore conjunctionibus adeo sensibilis ue ad candem AAronomi
  27. hareanE. Pro vario situ Plancex in his conjunctionibus, FCCCN-
  28. tricitas ejus nunc augetur nunc diminuitur, Aphelium nunC prO-
  29. moretur nunc Forte recrahitur, ex medius motus per rices accele.
  30. ratur ec recardatur. Frror eamen omnis in motu ejus circum So.
  31. lem a tanta ri oriundus (praeterquam in mocu medio) evitari ferc
  32. potest constituendo umbilicum inferiorem Orbis ejus in communi
  33. centro graricaris soris ex Solis (per Prop. L. XVII. Lib. l.) ee prop-
  34. cerea ubi maximus est, rix superat minura duo prima. LE CrrOr
  35. maxImUS in motu medio vix luperat minuta duo prima annuacim.
  36. In conjunctione autem foris ec Saturni gravitates acceleratrices
  37. Solis in Saturnum, foris in Sacurnum ee foris in Solem lunc fere
  38. Uc 16, 82 _ 10X81 X 2411 feu 124986, adeoque difterencia gravi-
  39. cacum solis in Saturnum ee foris in Socurnum est ad gravicacem
  40. Toris
  41. F. R
  42. TERZ1V5
  43. NIsA.LL MIIHIIIABIII

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 375. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0409?run=74