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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 122

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. 1II
  2. 11
  3. +22
  4. PFTILOSOPMLLE NATDRALIS
  5. Dr Horo Derimetro Figurx revolventis uC p, eodemque tempore describet
  6. OKPORVN
  7. arcum ejus up quo corpus aliud P arcum ip si similem de aequalem
  8. P in Figura quiescente V P R describere pocest. Ouaeratur igi-
  9. tur, per Corollarium quintum propositionis vi, Viscentripeta qua
  10. corpus revolri possit in Curra illa linea quam punctum p describit
  11. in plano immobilis es solretur Problema. Q. L. F.
  12. PROPOSITIO XLIV. THEOREMA XIV.
  13. Differentia Virium, quibus corpus in Orbe quiescente, e corpus a
  14. lind in eodem Orbe revolvente aequaliter moveri possunt, est
  15. in triplicata ratione communis altitudinis inverse.
  16. Partibus Orbis quie-
  17. (centisr F, P R TuntO
  18. similes ec aequales Or-
  19. bis revolventis partes
  20. up, pk; ec punctorum
  21. K distancia incelsi.
  22. satur esse quam mini-
  23. ma. A puncto kin re.
  24. etam pC demitte per.
  25. Dendiculum er, idem-
  26. que produc adm, uE (IE
  27. mr 2d r ut angulus
  28. Cpad angulum VC L
  29. Duoniam corporum al-
  30. citudines PC _ pC, KC
  31. et l C Temper aequan-
  32. decrementa semper sint aequalia, ideoque si corporum in locis
  33. P ec p existentium distinguantur mocus linguli (per Legum
  34. Corol. 2.) in binos, quorum hi vertus cenerum, sive sccundum
  35. lineas PC, pC decerminentur, ex alteri prioribus eransversi sints
  36. e sccundum lincas. ipsis PC, pC perpendiculares directionem
  37. naDeant; motus versus centrum erunt aequales, de mocus trans-
  38. versus corporis p erit ad motum trantrersum corporis P, ut mo-
  39. cus angularis lineae pC, 2d mocum angularem linex P C, id eAt,
  40. tur, manifectum est quod lincarum FC ec pC incrementa vel

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 122. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0156?run=74