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Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 100v

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: 0.86.

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The machine reads it as

  1. Detelocitate n univerrum.
  2. longitadines a mobilibus percursae sunt ut facta ex vesocitati
  3. bus in tempus ordinatim ductis; epatia percursa seu tractus
  4. e
  5. in ratione compositu horum, factorum et voluminum.
  6. Sit (Si
  7. mobile A tempore BE percurrens lon
  8. 5
  9. gitudinem A(A) in temporis BE instantibus B3, C, E, velveita
  10. e
  11. c
  12. tes habens quaseunqe BF, CG, EH; et primum ponamus tempu
  13. per plura instantia 16, 2C, 3C, etc. in partes dividi utrunq un
  14. BiC, 1C2C, 2C3C, etc. per quarum unam quamque duret eadem
  15. velocitas, ut velocitates 1CIG, 2C2G, 3C3G per tempora BiC,
  16. IC2C, 2C3C, 3CE; si jam ponamus velocitates ordinatim m
  17. tempora duci, ut fiant deinte rectangula FBIC, 1GrC2C, 2GEl
  18. 3G3CE, erunt haec rectangula in ratione compositâ elemento
  19. rum temporus et velocitatum; itaque (per pruys. 6. hec) ut lon
  20. l
  21. -
  22. gitudines elementares recpondentes a mobili At percursae Au
  23. ut 2A, 2 A3A, 3A (A). Itaque sumae rectangulorum seu figura
  24. scalares, erunt ut longitudines totae percursae, veluti BF, G
  25. 2G2C ad BFIG2G3GHE ut A2 A ad A(A), et spatia, qua
  26. per def. 2. cap. de tractu) sunt in ratione composita longitudi
  27. C
  28. num et voluminum, erunt inratione compositâ horum ta
  29. Aorum et voluminum; idemque’est si plures diverrorum mobi
  30. lium velocitates in sua tempora orrinatim ducantur, modo
  31. rectis proportionalibus tempora et velocitates repraesententur
  32. Quod si elementa temporis, quibus eadem oyrat velocitas,
  33. sint assignabilibus utcunque parvis minora, ita ut nulla pars
  34. temporis assignari queat in qua eadem duret velocitas; figur
  35. scalaris evaneseet m orthogonuum curvilineum, quod lon-
  36. gitudini percursa erit proportionale.
  37. Has
  38. am
  39. Mo
  40. a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 100v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0202?run=74