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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 146

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. IIIII
  2. 146
  3. PHTLOSOEHLE NATDRALIS
  4. De Morv L superticie, proportiona-
  5. Conrono lis; PsIY recta axi
  6. parallela per corpus tran-
  7. HenS, eE GF, PII recte
  8. a punctis C SE P in p2
  9. rallelam illam TIITF
  10. perpendiculariter demil-
  11. Ex. Dico jam quod arca
  12. AOF, radio O F ab ini-
  13. eio mocus descripta, sIC
  14. rempori proporcionalis.
  15. Nam vis YC (per LC.
  16. cum C Orol. 2.) resolvitur
  17. An ViTCS TF, FC; e vis
  18. TI in vires TII, IIT:
  19. Vires autem TF, T II
  20. agendo secundum lincam
  21. s plano AOF per-
  22. pendicularem mutane (0.
  23. lummodo motum cor-
  24. poris quatenus huic plano perpendicularem. Ideoque motus ejus
  25. quatenus secundum politionem plani Factus, hoc est, motus pun-
  26. eti F quo Trajectoria veltigium AZ in hoc plano delcri-
  27. bitur, idem cA ac ( vires T F, TFY tollerentur, dc corpus tolis vi-
  28. ribus FC, FIL agItaretUr; Hoc eA, idem ac si corpus in plano
  29. AOP, vi centripeta ad cenerum O tendence de summam virium
  30. S CF_ YIY aequante, describeret curram AP. Sed vi tati describi-
  31. cur arCA AO F (PET PTOP. L.) tempori proxortionalis. d. F. D.
  32. Corot. Fodem aroumento s corpus a viribus agitarum ad centra
  33. duo vel plura in eadem quaris recta CO data tendentibus, deseri-
  34. beret in spatio libero lineam quamcunque curram SP; Foret arca
  35. AOP tempori semper provortionalis.
  36. PROPOSTTTO LVI. PROBLEMA XXXVII.
  37. Concessis Ficurarum curvilinearum quadraturis, datisque tum lece
  38. Vis centripetae ad centrum datum tendentis, tum superficie cur-
  39. va cujus axis per centrum illud transit; invenienda est Traje-
  40. Etoria quam corpus in eadem superficie describet, de loco dato, data
  41. cum Velocitate, versus placam in supersioie illa datam egressum.
  42. Stanci.
  43. WBINIIIMIBIBIIIHUIIHIININVII

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 146. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0180?run=74