Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 59v

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: 0.89.

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

The machine reads it as

  1. Sect. 11. Cap. 1. 2. De motu ete
  2. Consertar. 4: Problema: Motum exhibere, n quo com-
  3. adat locus mobilis et via motus.
  4. includatur mobile corpus alteri rigido immoto, ita ut con-
  5. gruat superficies, et tum mobile inclusum (quod semper aequale
  6. spatium occupare, nec perfecte condensari aut rarefieri suppons)
  7. moveatur, et habebitur desderatum; quia ob rigidum obitans lo-
  8. b
  9. coexire non potert, interim tamen partes inter se loca permutare
  10. possunt.
  11. si mobile sit fluidum, quamcunque figuram habere
  12. potest; sin rigidum sit, oportet ette genitum circumrotatione,
  13. ut annulus, cylinder, sphaera, conus rectus, cum moventur cir-
  14. ca suo axes.
  15. CAP. 1
  16. DE MosV VNLXOR MI.
  17. Definitio: MOTV VNLSOQ MI MorE TVR, cujus
  18. quodlibet punctum aequalibus temporibus aequalia spatia
  19. describit.
  20. sit (Fig. 11.) Mobilis punctum A percurrins tempore
  21. lineam 1A2 A, et tempore V lineam 3A4 A; jam pontis s et
  22. aequalibus, si ecperiantur 1A2 A et 3A A A esse aequales, idque
  23. succedat in puncto mobilis quocunque, motus dicetur uniformis;
  24. et contra, motu posito uniformi, debet succedere
  25. erop. 1.
  26. In motu uniformi si spatia a puncto mobilis absoluta
  27. sint aequalia, irint et tempora impensa aequaua.
  28. spatys enim (Fig. 12.) DG et HL aequalitus, sint maqua-
  29. lia (si fieri potest) tempora 08 et QV, et tempus alterutrum,
  30. ut oP, sit majus; ergo in QV aequalis erit ipnus Os pars ali
  31. qua Os, qua durante percursa est gatii DG pars aliqua A,
  32. et aequali tempore ) percurrum et spatium AL. Ergo (ex def.
  33. motur
  34. ea
  35. aqu
  36. Hc
  37. et
  38. ve
  39. (
  40. M
  41. 7

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 59v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0120?run=74