Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 111

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: 0.92.

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

The machine reads it as

  1. PRINOIPLA MATHEMATICA.
  2. Dein junctis SF, SD, hane segmentis SF IS, SF. DS, sec-
  3. TOrCS TTSR, HTSK aequales, eE Per PFOD. XXXV, corpuS C deseri PRIb
  4. bec spatium C C eodem Tempore quo corpus delcribere P0.
  5. cest areum RR. R. F. F.
  6. PROPOSITIO ZZXVIII. ZHEOREMA XII.
  7. Posito quo d Vis centripeta proportionalis sit aliitudini seu distantiae lo-
  8. corum a centro, dico quod cadentium Tempora, Velocitates e Spa
  9. ria descripta sunt arcubus, arcuumque sinibus rectis e sinibus
  10. versis respective proporcionalia.
  11. Cadat corpus de loco quoris A secun-
  12. dum rectam AS; ex centro ririum S, in-
  13. cerrallo AS, delcribatur Circuli quadrans
  14. AE, ACque C D Sinus rectus arcus cujus-
  15. vis AD; _ COrpUS A, PenpOre AD, Ca-
  16. dendo describet Spatium AC, inque l0c0
  17. C acquiret Velocitatem CD
  18. Demonstratur eodem modo ex PrOPOI-
  19. tione X, quo PFODOsITIO ZXXII ex PrODO
  20. sitione XI demonstrata fuit.
  21. Corol. 2. Tlinc aequalia sune Pempora quibus corpus unum de loco-
  22. A cadendo pervenit ad centrum S, ee corpus aliud revolvendo de-
  23. seribit arcum quadrantalem AD F.
  24. Corol. 2. Proinde aqualia sune Fempora omnia quibus corpora de
  25. locis quibulris ad ulque centrum cadune. Llam revolventium tem-
  26. Pora omnia periodica (per Corol. 3. PrOD. TV.) aequantur.
  27. PROPO.
  28. E. L B. E. K

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 111. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0145?run=74