Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 11, 18B, fol. 112

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: 0.92.

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

The machine reads it as

  1. Ideo si effectus vel actiones
  2. 0
  3. sint aequa Les. fient (per eLementa)
  4. quantitates materiae Longitu
  5. areciproce
  6. dinibus proportio
  7. nates. et contra si reciproce
  8. proportionales sint quantita
  9. res materiae Longitudinibus
  10. ao erunt effectus
  11. aequales, d in casu aequalium re
  12. Locitabum d actiones.
  13. Ibaqee bres Libras transter
  14. re per Llonqirudinem duorum pe-
  15. dum aequatis est effectus effectui
  16. vel si aequaliasint temporaequ
  17. aequasis est actio actioni brans nusus alterius quanspligs
  18. ferendi duas dibras perLongitu velocitatis res temporis (
  19. dinem brium pedum. Quod e sic
  20. ostendi potest. Bres Librastrans
  21. ferre per Longibudinem duorum
  22. pedum sextupnes est effectus trans
  23. ferentis unam Libram per Lon-
  24. gitudinem unius pedis: et duao
  25. Libras transferre persongitur
  26. dinem trium pedum sextuptus
  27. est effectus transferentis unam
  28. d. a
  29. pedis (ubrum qB per prop. h. hic)
  30. Crgi
  31. Nam reLocitates duae qua
  32. cunq A e D possunt intes Ligi
  33. aseries
  34. bermini progressionis Geometri-
  35. 2
  36. ca: haec series continuetur ub sit
  37. A, B, C. iba g respondentes eis
  38. actiones L, MI, N, erunt etiam
  39. termini progressionis Geome
  40. tricae S quidem vel ejusdemseu
  41. in rabione simplice veldiita
  42. tum, rel in ratione velocita-
  43. ratte
  44. tum secundum numerum certur
  45. mustipsicata, aut submusdi-
  46. PLicabal per prop. 6 hid sed quo
  47. niam Longitudine e materia
  48. H qued
  49. posita eadem veldcibabi
  50. qua eadem Longitudo pereur
  51. ritur res oti reciproce pro-
  52. portionale est) consideratio su
  53. peresse potest (per def. 3. hic,
  54. itage nulla fieri potest com
  55. positio sive mustipLicatio ra
  56. tionum. Otproinde necesse est
  57. actiones eandem quantibaten
  58. maberiae per eandem Longibu
  59. dinem bransferentes esse
  60. simpliciter in ratione velo
  61. relocitatum
  62. per prop. 5

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18B, fol. 112. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068192:0112?run=74