Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 222

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: 0.93.

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

The machine reads it as

  1. 222
  2. PTTILOSOPMLE NATDRALIS
  3. DE MorD datur punctum B per quod FTyperbola, ASymptotisC HL CD,
  4. Conronon delcribi debet; uc dc spatium BCD, quod corpus incipiendo
  5. morum suum cum velocitare illa B, tempore quoris AD, in MC.
  6. dio simitari resistente describere porest.
  7. PROPOSITIO VI. THEOREMA IV.
  8. Corpora Sphaerica homorenea aequalia resistentiis in duplicata
  9. ratione velocitatum impedita, solis viribus insitis incitatas
  10. remporibus quae sunt reciproce ut velocitates sub inilio, descri-
  11. bunt semper aequalia spatia, es amittunt partes velocitatum pro-
  12. portionales totis.
  13. Asmproris rectangulis C D,
  14. CH delcripta Hyperbola qua-
  15. vis BB F e fccance perpendicula
  16. AB, ab, DF, des In B, b, F es
  17. exponantur relocicates initi-
  18. ales per perpendicula AB,
  19. DE Sc tempora per lincas
  20. Aa Dd. FK Cr∞O UE Aa 2d
  21. D dica (per FIypochesin) D F.
  22. ad AB, ec ita (ex natura FIy
  23. perbolae) C ad CD; e com
  24. Donendo, ita Ca ad C d. Ergo
  25. arex ABba D F. ec hoc eA, spatia descripta aequantur inter les
  26. ee velocitates primae AB, D F Cune ultimis ab, des ee proxterea
  27. diridendo) partibus etiam luis amissis AB = ab, DP=de prO.
  28. Dortionales. g. F. D.
  29. PROPOSITIO VII TTTEOREMA V.
  30. Corpora Sphaerica quibus resistitur in duplicata ratione velocitatum,
  31. temporibus quae sunt ut motus primi directe e resistentiae pri
  32. mae inverse, amittent partes motuum proportionales totis,
  33. satia describent temporibus istis in velocitates primas ductis
  34. proportionalia.
  35. Namque mocuum parces amissae sunE uE resistenFiX _E FEMPOTA
  36. Con

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 222. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0256?run=74