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Lectures De Potentia Restitutiva, Or Of Spring, fol. 22

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: 0.92.

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

The machine reads it as

  1. Impedimene ofche medium doch hinder the exactnets
  2. OF it. IF it b0 delivered rich creble, quadruple.
  3. quintuple, sexcuple, exc. the Arst Velociey it Maii
  4. touch the Aoor at almost treble, quadruple, quintu-
  5. Dle, sextuple, exc. the Airst distance. IMall nocnecd
  6. tothem chereason rhy ic is mored in a l’arabola, it
  7. havins been Cutticiently demonstrated lons Cince by
  8. manv others.
  9. IE the body be delirered by the Spring at the AOOF,
  10. buc Bocby lome Angle uxmards, knomins wichurtrat
  11. Velocier ehe Came is mored wrhen delivered, and rith
  12. wrhrat Inclinationto the Perpendicular the lame is di-
  13. rected, and the erue Velocirr ot a Falling body, vou
  14. may calisy knom thelenoth oF thc Factus or Moc, and
  15. the cime it wiltipend in pastins chac lenoth.
  16. Thisis found by comparine the time oF its alcent
  17. ith chetime ot the descent ot hearrbodies. TheaF
  18. cent oF ans body is casils bnomn by comparins IEs
  19. Velocier wich the angle oF inclination.
  20. Lec abthen in the Atth Pigure reprelent 16 FoOt, Or
  21. the space descended by a heary body in a second
  22. minute oF time. IF abody besotFrom b, in the Linc
  23. bfrich a Velocies as much Critter than thac equal
  24. motion oF 16Foot in a second, asthis Lincb fis longer
  25. than ab thebod MaII Fallac e; For in the lame (pacc
  26. OF time thac the oblique equal motion mould make
  27. it alcend From b d to a c, willehe accelerated direct
  28. motion domnmardmore ic From ac to b d, and chere-
  29. Fore at the end ot the space ot one second, When the
  30. motions do equal and balance cach other, the body
  31. must be in the lame Hlorizontal Line in irtich it masat
  32. Arst, buc remored alunder by the space b e, and FOr
  33. the poines it passeth chrough in all the intermediate
  34. Spaces this method will determine it.
  35. Let thc Parallelogram abpq then represent
  36. the wrhole Velocitr oF the alcent ot a body by
  37. an equal motion of 16 F00c in a second, and
  38. ihe Friansle Par reprelent che rhole Velocity

Cite

Lectures De Potentia Restitutiva, Or Of Spring, fol. 22. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/859264114:0028?run=74