Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 213

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.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. PRINOIPTA MATHEMATICA
  2. 2Y3
  3. ris, decrescet recta DC in ratione Ceomerrica ad modum veloci- LIDER
  4. Catis, ec partes rectae AC aequalibus cemporibus deleriptae decre. SECVHDVE
  5. scent in eadem ratione.
  6. PROPOSITIO II. PROBLEMA I.
  7. Corporis, cui dum in Medio similari recta ascendit vel descendit,
  8. resistitur in ratione velocitatis, quodque ab uniformi gravitate
  9. urgetur, definire motum.
  10. Corpore alcendente, ex-
  11. Donatur graritas per datum
  12. quodris rectangulum BC, e
  13. resistentia Medii inicio aF-
  14. census per rectangulum BD
  15. Cumptum ad contrarias Par-
  16. tcs. ACymptoris rectangulis
  17. AC, C II. per punctum B dc-
  18. scribatur IIy perbola secans per-
  19. pendicula D F, de in G, C; 8
  20. corpus ascendendos tempore D Cg is deleribet spatium P. C g es tem-
  21. DOre D GB a spatium aCcensus totiuS LC B; temporc AB2C2D
  22. spacium descensus B FZCF, atque tempre 2D 2C 282d spatium
  23. descensus 26 F2028: et velocitares corpess (resittentix Medii
  24. proportionales) in horum temporum pertous crune AB F D;
  25. ABed nulla, ABF2D, AB202d relpecttre, acque maxima
  26. relocitas, quam corpus descendendo porelt acgultete, ctit BC.
  27. Resolvatur enim rectan-
  28. culum A H in rectangula
  29. innumera AR, RB, L. M, VN,
  30. dcc. quae sInE ut incrementa
  31. velocicatum aequalibus FOF-
  32. idem temporibustacta; ec.
  33. runcnihil. AR Ab Am. An,
  34. Ac. ut velocitates tora, aF-
  35. que adeo (per Hlypochesin)
  36. uc relistentia Medii princi-
  37. Dio Cingulorum remporum
  38. F
  39. aequalium Fiac AC 2d AK vel ABFTC ad ABk R, ut vis er2
  40. vicatis ad relistenciam in principio temporis secundi, deque ri srari-
  41. caeis

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 213. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0247?run=74