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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 110

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: 0.91.

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

The machine reads it as

  1. HIGVHIII
  2. 1.0
  3. DTITLOSOPMLME NATVRALIS
  4. PROPOSITIO XXXVI PROBLEMA XXV.
  5. Corporis de loco dato a cadentis determinare Tem-
  6. pora descensus.
  7. Super diametro A5 (dictantia corporis a cen
  8. ero sub initio) describe Semicirculum D S, UE 8
  9. huic aequalem Semicirculum OR HI circa centrum
  10. S. De corporis loco quoris C’erige ordinatim ap-
  11. plicatam CD. Punge SD, e arcae ASD aequa-
  12. lem constitue sectorem OS K. PatCE PEF PFOP.
  13. XXXV, quod corpus cadendo delcribet spacium AC
  14. eodem Tempore quo corpus aliud uniformiter cir-
  15. ca centrum S orrando, describere potest arcum
  16. OR. d. F. F:
  17. PROPOSITIOXZZMI. PROBLEMA XEVI
  18. Corporis de loco dato sursum vel deorsum projecti definire Tempora
  19. ascensus vel descensus.
  20. Exeat corpus de loco dato lecundum
  21. lincam ASC cum velocitate quacunque.
  22. In duplicata ratione hujus relocitatis ad
  23. unitormem in C irculo velocitatem, qua cor-
  24. pusad interrallum datum Se circa centrum
  25. S revolri Postet, cape GA ad = AS.
  26. Si ratio illa est numeri binarii ad unita-
  27. cem punctum infinice distat, quo ca-
  28. Tu Parabola vertice S, axc SC, latere quo-
  29. vis recto describenda cAt. Patet hoc per
  30. PFOP. XZZEV. Sin racio illa minor vel ma-
  31. Jor est quam 2 ad 1, priore casu Circulus,
  32. Dolteriore Llyperbola rectangula super di-
  33. ametro S A describi debet. PAtCE PeF
  34. PFOP. XRXITT. Tum centro s, intervallo
  35. aequante dimidium lateris recti, describatur
  36. Circulus TTKk, ec 2d corporis alcenden-
  37. tis vel descendentis loca duo quaevis Cr, C,
  38. erigantur perpendicula CFY, CD Occurren-
  39. tia Conica Sectioni vel Circulo in lac D.
  40. Den
  41. DE MOrD
  42. CORDOROM

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 110. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0144?run=74