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Leibniz-Handschriften zur Mathematik LH 35, 9, 2, fol. 5v

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: 0.83.

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. 6r); this page is its left half.

The machine reads it as

  1. Per lineam curvam RL in plano verticali RA F de
  2. Sriptam, concavitatem habentem ad partes A, e F s
  3. ex tanta
  4. productam tangentem in L, descentat grave u ex al-
  5. titudine verticali kX, ut continuato motu; elemento
  6. temporis elemento tempors priorbus aequali, perrurat
  7. L
  8. tun
  9. ALiutique altitudo RN ea erit, quae dat velocitatem
  10. circulationis, EA vel AF vel AG
  11. ex
  12. Ponamus autem grave descendent l
  13. primo tem–
  14. descendisse cxatsitudine
  15. poris elemento prionbur aequali perse
  16. Erit ergo
  17. folicitatio gravitatis ut Re. Tempus descensus rer
  18. per
  19. C) et Elementum temporis
  20. fer sempur defoensur representemis rectu
  21. apriarum
  22. omnium lin descensu) elementorum temporis inter se aequalium
  23. eppasentemus
  24. primum pethertamLS; et solicitationem gravitatis, seu velocitatem
  25. raua naoet
  26. elementarem a gravitate impressam, pen rectam Ss non
  27. malem ad Qs aequalem ipsi RC: compleatur rectan
  28. gulum es
  29. a
  30. 7
  31. TV
  32. 6)
  33. e cuni erso LSrepresentet tempus, et
  34. formem, ideo altitudo per eam percursa tempore
  35. representatbitur per rectangulum d S 7V. Eodem mod
  36. sumendo L SW duplam, et Q PX, triplam ipsiue esi
  37. itemque sumendo P7Y duplum ipsive SJ, et complendo
  38. rectangulum WSYZ; et rursus sumendo WZ tiplam
  39. ipsiue S7 et complendo rectangulum XI GV; manife-
  40. stum est ipsum quasitriangulum scalare VeiY-
  41. representure altitudinem percursam, tempore e qu
  42. quasi triangulum scalare YeX 18
  43. Vrepresentare altitudi-
  44. t
  45. fiet
  46. nem percursam tempore X. Et ita poro si plura puncta
  47. ultra SW, X ascumantur, et eodem modo tractentur.
  48. ded prius ex duobur quasi triangulis scalaribus a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 2, fol. 5v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068126:0010?run=73