Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 99r

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: 0.76.

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

The machine reads it as

  1. De Velocitate m universum.
  2. moveantur, velocitatibus suis V et E retentis; et percurrant
  3. C
  4. spatia 1A2B, 1L2 M; Ajo ette gatia, 1A2 1d ad 1L2 M, mra
  5. C
  6. tione composita voluminum, AB ad LM, et velocitatum. V ad E.
  7. sint longitudines percursae 1C2C, 1N2M: contrat (per defin2
  8. cap. de tractu) etse spatia 1A2d ad 1L2 M, in ratione compo-
  9. sita voluminum AB ad LM, et longitudinum per cursarum
  10. IC2 C ad sN2N; sed longitudines percursae in motibus aequive
  11. loci
  12. as aequalium temporum sunt ut velocitates (per prop. tsic)
  13. Prop. 5.
  14. motu esutdem mobilis aequiveloce vel duorumo mobilo
  15. s
  16. um volumina aequalia et constantes velocitates habentium
  17. longitudines percursae, itemque spatia percursa sunt ut tem
  18. pora impensa, et vicissim si talia sint, velocitas ett con
  19. ans seu motus aquivetor.
  20. Mobile AB
  21. fig.) mota ae quiveloce, tempore TE
  22. percurrat longitudinem IC2C, et spatium 1A2B; et idem seu
  23. aequale tempore J P longitudinum LBC, spatiumue 1A38
  24. d
  25. es c
  26. Ao ete 1C2C ad IC3C vel 1A2B ad 1A3B, ut 5E ads s
  27. C
  28. sint motus aequidistributi ejurdem vel aequalis volumine mo-
  29. bilis, ejurdemu; cum prioritus velocitatis, ac proinde (per prop.
  30. dp.
  31. 3. hic) ant hi motus percursis intra aequalia respective
  32. p
  33. tempora longitudinibus et spatiis aequales, adeoque (per prop.
  34. e.
  35. a
  36. 3. cap. de veloatate uniformi et aequidistributa uniformet,
  37. a
  38. quorum spatia 3A 4 B, et 3A5 B; longitudines 3(4C, 5C5C.
  39. Jam (per prop. 5. cap. de veloc. aequidistr. et unit.) longitudo 3C4C
  40. ec
  41. est ad longitudinem 3CSC, ut tempora impenta 3badS s
  42. ln
  43. Ergo eodem modo erunt et longitudines 1C2C (aequalis ipti 3tC)
  44. ave
  45. e
  46. aat
  47. CM.
  48. es,
  49. lio
  50. 2A.
  51. eobo
  52. 3A
  53. M
  54. Cn
  55. e
  56. lum
  57. A,
  58. de
  59. uto
  60. L
  61. es

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 99r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0199?run=74