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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 132

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. MIIIMIII
  2. PHTLOSODETLLE NATDRALIS
  3. DE MorD era perentu, ec planis excencricis innitentium hic considerandus
  4. velI. Pland aurem supponimus esse politissima ex ab solute lubrica
  5. sic corpora secardene. Ouinimo, in his demonstrationibus, vi-
  6. ce planosu Quibus corpora incum bunE quXquC TANGUINE InCUM-
  7. bendo; uupautus plana his parallela, in quibus centra corpO-
  8. rum erentut d Orbitas movendo delcribunt. Et eadem leoc
  9. Mocuo corporum in superticiebus Curris peractos subinde de-
  10. terminautu
  11. S F CTIC
  12. X.
  13. De Moru Corporum in Supersiciebus datis, deque Funipendutorum
  14. MOTU reCIPYOCO.
  15. PROPOSITIO ZIVI. PROBLEMA XXXII.
  16. Posita cujuscunque generis Vi centripeta, datoque tum Virium cen
  17. tro rum Plano quocunque in quo corpus revolvitur, e conces-
  18. Sis Firurarum cur vilinearum quadraturis: requiritur Motus cor-
  19. poris de loco dato, data cum Velocitate, secundum rectam in
  20. Plano illo datam coressi.
  21. Sie Scentrum Virium, SC distaneia minima ceneri hujus a Plano
  22. dato, F corpus de loco F secundum rectam P Z egrediens,
  23. corpus idem in Prajectoria lua revolrens, et P Q R Trajectoria
  24. illa, in Plano dato de (CFIPFA, QUAM InVENIrC OPOPFCE. JUnGANEUT CB
  25. 85, Se _ in 4S capiaeur SV proportionalis vi centripCEX qua
  26. COrpuS trahitur versuS Centrum S, _E aG2TUE V Z quae siE Parallcla
  27. CE _E OCCUETAESC inT: Vis SV resolvetur (per Legum C OrOL. 2.)
  28. in vires ST, TV; quarum ST erahendo corpus secundum lincam
  29. plano pervendicularem, nil mutat motum ejus in hoc plano. Vis
  30. aucem altera TV agendo secundum positionem plani erahie cor-
  31. pus directe vertus punctum Cin plano datum, adeoque Facie illud
  32. in hoc plano perinde moreri ac si vis ST cOIlCTCtUF, eE COrpuS vi
  33. Cola YV revolreretur circa cenerum Ci in spatio libero. Data autem
  34. Vi
  35. 3
  36. PORPORVH

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 132. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0166?run=74