Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Lectures De Potentia Restitutiva, Or Of Spring, fol. 21

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: 0.90.

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

The machine reads it as

  1. Velocitr, whose Ordinates By Bj AO will girethe
  2. particular Velocities, and the S. likre Line of time will
  3. extend bexondN. Thelame will happen suppolins
  4. the body (mored by che Sprins) t0 be propor-
  5. tionately heary, and the porrers of che Sprins thc
  6. Tame mith theArs.
  7. And supposins the porrer oE thesprins the Came
  8. a5 aFAPHE, Bended ontr to B2, andFrom thence let 80
  9. B2 P A is the Triangle of its porers, the Ordinates
  10. OF the Cirele B g L are theLines oF its Velocity, and
  11. ehe Ordinatesof theS. like Line B iF are the Lines oF
  12. Eme.
  13. Farins thus Mered rou hor the Velocier oF a
  14. Sprins may be computed, ic will be casie to calcu.
  15. late torrhrat distance it rill bC able EO(BOOEOE thrOW
  16. any body chatis mored by ic. And ehis mustbe donc
  17. by comparins che Velocies oF the alcent oF a body
  18. chromnwichthe Velocitr ot the descent oF Gravitr,
  19. allorrance beins allo made tor the Relistance and im-
  20. Dediment oF the medium chrouxh itrich it passes.
  21. For intance, suppole a BO or Sprins Axed aE.
  22. 16 Foot abore a HTorizontal RoOr, irtrich is neaE
  23. the space that a heary body trom rest will descend.
  24. perpendiculartr in a second ot time. IF a Spring de
  25. liver thebods inthe Horizontal line with a Velocier
  26. that mores it 16 Foor in a second ot time, then 1II
  27. it FaIl at 16 Foottiom theperpendicular point on the
  28. Roor orermhich ic ras delivered mich lueh Velocitr,
  29. and by ies motion haII deleribe in the AIr. Or SpacC
  30. chrouoh rhichicpasses, a Parabola. IF che Sprins bC
  31. bentto tvice the tormer Pension, (0 a5 to deliver che
  32. bodr rith double the Velocity in a Hloricontal Linc,
  33. thac is, wich a Velocier that moves 32 Fooc in a le-
  34. cond, thensall thebod touch che RoOr in a point
  35. verr near at 32 Fo0c From che atorelaid perpen.
  36. dicular point, and the Line ot the motion oF the.
  37. bodr, Coocall. Be mored in a. l’arabola, or a Linc.
  38. verr near it, I lay very near it, by realon that chC
  39. ImpedtiMENE

Cite

Lectures De Potentia Restitutiva, Or Of Spring, fol. 21. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/859264114:0027?run=74