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Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 141v

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: 0.81.

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The machine reads it as

  1. Sperimon Calculi Analyt. pro Phorometria.
  2. A6
  3. ABC reprasentarat. omnes velocitates mobilis excistentes eodem
  4. temporis instanti, ita triangulum DC reprresentat omnes ve
  5. locitates temporis competentes eidem mobilis puncto B; sumi
  6. 2 i 1. C
  7. Jam 3 talis, ut sit rectangulum solidum FDBA aequale
  8. pyramidi ABC, et erit fD. media mobilis velocitas; qua n
  9. mobile AB ferretur per tempus DB motu aequidistributo et uni
  10. s
  11. formi, idem, foret tractus idemque (si mobile similare ponatur) ess suo
  12. .
  13. etus formalis seu quantitas translationis, qui in motu per tem
  14. poris momenta et mobilis puncta variat.
  15. (32.) His jam ad calculum translatis, AB; e. DB; t. BC, Y
  16. AE, V. DF, (47. triang. ABC, 3. Pyramis DABC, Y. habeti
  17. locum calculus paulo ante dictus. Fit enim =Ve. r - (
  18. = le. Sed V = sdev: e, et (V= sd + V: F. adeoque 1 = saF V. Unde
  19. patet esse = sdev, et r
  20. Sat sder. Et hoc quidem generatim
  21. 33.) Sed quia in hoc enou v coeaiitentes sunt ut e fiet
  22. ut sd vel ut sace, id ett (per leves calculi differentialis)
  23. ut ce vel ut oo, protractiones X, vel (si mobile sit similare
  24. ..
  25. c
  26. impetus y, simul existentes in linea AB, sunt ut quadrata pot
  27. tium AB vel A(B), et totius mobilis As protractiones vel in
  28. petus successive existentes sunt at quadrata velocitatum punci
  29. B.
  30. 34) Hinc jam i nostro caru r ut (at vv. Sed t rursu
  31. sunt ut D, in casa presenti, cum v velocitates puncti B
  32. crescant propontione temporis seu durationis; Ergo fit )
  33. ut scovo vel ut sat, adeoque tractus (vel in casu mobiliss
  34. milaris, etiam effectus) diversarum mobilis partium A33
  35. it
  36. Lp .
  37. a C
  38. AB) in casu praesenti sunt im miplicara ratione velocitata
  39. , ultimis punctis B3, (B) competentium, id est iptarum line
  40. aru
  41. arun
  42. tis
  43. 1b
  44. am
  45. iet2i
  46. tur
  47. mit
  48. plo
  49. rat
  50. 1o
  51. ac
  52. li
  53. 5d
  54. cus
  55. ec
  56. 9
  57. mir
  58. rell
  59. nem

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 141v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0284?run=74