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Leibniz-Handschriften zur Mathematik LH 35, 9, 24, fol. 2v

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: 0.94.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 3r); this page is its left half.

The machine reads it as

  1. quantitates differentiales simul pro constantibis assenat. am ex
  2. eodem principio substitationis aequivalentis, fit ut in nostro arbi–
  3. trio sit quancunque quantitatem elenentarem assenere pro con
  4. stanti; modo ne diversas hypotheses misceanus. Sed ad rem ex
  5. plicandam propias acredo:
  6. it recta AF (5) exponens tempus, ita
  7. ut AF sit tempus impensum, fit J Vive-
  8. locitas aurante tempore AF continua
  9. acceleratione quaesita, V) ihcrementum
  10. velocitatis clemeatare. Sit TS spatium tempore AF percursum
  11. acementari
  12. S(5) spatium elenentare percarsum tempore S. (5). Concipiamus
  13. hoc spatium S(5) percarri tempore elenentari fF) celeritate
  14. uniformi FV, et in ultimo momento tempons ) accedere nobili
  15. velocitatem elementarem 3(V). ita ut deinde sequenti tempore
  16. elenentari F((5)) tota velocitate nova (5) (Y) aequabiliter per
  17. carrat (d (5)) novam elementum spatii, eoque absoluto in ultino monento
  18. CF) accipiat novan velocitatem elenentarem ((3)) ((Y)) atque ita porro
  19. His positis manifestum est spatium S (5) esse ad spatium S ((5))
  20. )C). CF) ad tempas (F) ((F)) et ve
  21. YH, seu esse rectam S(5) ad
  22. rectam (S)(S)) ut rectangulum Y(5) ad rectangulum (V)(3)
  23. unde sequitur si in momento A sit motus initium, fore trilinea
  24. ATr.+ ut ordinatas Js, seu lineam As (S) esse sinpliciter
  25. quadratricem fiqura. AdV Quacunque denum sit lex accele
  26. rationis. Ad vocetur t, JV vocetur v, et SS vocetur _ asque
  27. simaturque aliqua constans c, fiet cdo - vat (vel tuo stylo
  28. 3. 5, at = dx: V) seu cN = suat. salis autem veritas qua in com
  29. pato notuum est fardanentalis aegre demonstrabitur nisi, ficti
  30. orem notus interrapti pro continio adhibeas ostendasque salten
  31. Archimedeo more) unum easum ab alio assignabiliter non
  32. differre.
  33. Venio ad suam thesra, qua ponis fat= de et investigabinus
  34. eu hypotleor

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 24, fol. 2v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068149:0004?run=74