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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 377

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: 0.90.

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The machine reads it as

  1. AIII
  2. PRINOIPTA MATHIEMATTCA.
  3. PROPOSITIOXV. PROBLEMA I
  4. Invenire Orbium principales diametros.
  5. Capiendae sunt hxe in ratione subse squiplicata temporum perio-
  6. dicorum, per ProD. ZV. Lib. I. deinde sigillatim augendae in rati
  7. one summae massarum Solis ex Planetx cujusque revolveneis ad
  8. primam duarum medie proporcionalium inter summam illam et
  9. Solem, Per PrOD. LX. Lib. L.
  10. PROPOSITIOZVI. PROBLEMA II.
  11. Tnvenire Orbium Eccentricitates Aphelia.
  12. Problema COntit per PrOP. XVIIT. Lib. I.
  13. PROPOSTTIO XVII. THTEOREMA XV
  14. Planetarum motus diurnos uniformes esse, e librationem Lunae
  15. ex ipsius motu diurno oriri.
  16. PateE per motus Legem I, e Corol. 22. PrOD. LXVT. Lib. I.
  17. Duoniam vero Lunae, circa axem Cuum unitormiter revolventis,
  18. dies menstruus est; hujus Facies eadem ulteriorem umbilicum or-
  19. bis ipsius semper respiciet, e propterea pro situ umbilici illius
  20. deriabie hinc inde a Terra. FIxec est libracio in lonsitudinem.
  21. Nam libratio in lacicudinem orta cs ex inclinatione axis Lunaris
  22. 2d planum orbis. Porro hxec ita se habere, ex Phaenomenis mani-
  23. fectum eAt.
  24. PROPOSITTO XVHI TTTEOREMA XVI.
  25. Axees Planetarum diametris quae ad eosdem axes normaliter du-
  26. cuntur minores esse.
  27. elanetae sublato omni motu circulari diurno figuram Sphaericam,
  28. ob aequalem undique partium graritatem, affectare deberent. P’er
  29. mocum illum circularem Ac ut partes ab adC recedentes juxta
  30. aequatorem ascendere conentur. Ideoque materia si Auida lE
  31. CCC
  32. alcentu
  33. L EBER
  34. TBRXIVC
  35. ISHEMPIIIIMIIIIHIBHVBINNIIEIIIHBHNHEMMMIIEIMHHBHMIIMIBIHIHII

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 377. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0411?run=74