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Leibniz-Handschriften zur Mathematik LH 35, 11, 18B, fol. 109

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: 0.93.

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

The machine reads it as

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

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18B, fol. 109. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068192:0109?run=74