Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 337

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: 0.89.

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

The machine reads it as

  1. PRTMCIPTA MATHEMATICA. 337
  2. Corol. 2. FF undlarum iajorum vel minorum VC- LIBEK
  3. Ocitas augebitur vel diminuerur in subduplicaEZ SECONnOS.
  4. ratione lacicudinis.
  5. Hlaec ita se habene ex FIyporhesi quod parces
  6. aquae recta alcendune vel recta descendune; sed
  7. alcensus d descensus ille verius At per circulum,
  8. ideoque tempus hac Propolitione non nisi quam-
  9. proxime definitum ese aftirmo.
  10. PROP. ZLVII TITEOR. ZXXVII.
  11. Culsibus per Fluidum propacatis, sinculae Fluidi
  12. particulae, motu reciproco brevissimo euntes
  13. redeuntes, accelerantur semper es retardantur
  14. pro lece oscillantis Penduli.
  15. MHC
  16. Designent AB, BC, CD
  17. ac. pulluum successivorum
  18. aequales dictantias; ABC
  19. plagam mocus pulsuum ab
  20. A verlus B ProDagaTI; L
  21. F, C puncta eria Phylica MC.
  22. dii quiescentis, in recta AC
  23. ad aequales ab invicem di-
  24. stancias ATa; F C, Ff, 65,
  25. spacia aequalis perbreria per
  26. deu cediproeo cingulis vibratio.
  27. rundem punctetum; et F F, FC lincolas
  28. tempus eorum vibrations unius cum iphus parci
  29. bus provorcionalibus; sic uE completo TemPOTC
  30. quoris PF vel PASh, S demictatur ad PS
  31. erpendiculum FTC. vel hh de capiatur FC aqua-
  32. 1o L 2 tet Lh entum Phylicum L rEPETIAEUE
  33. 2
  34. a illa r
  35. QuXe Par
  36. nibus cunc ec redeune; e, P, Y loca quaeris incer
  37. Plysicas seu Medii parte lincares punctis illis in-
  38. terjectas, ex successire cranllatas in loca cP, PY et
  39. ef, f5. Rectae Pe aequalis ducatur recta PS
  40. Bilecetur eadem in O, centroque O de interrallo
  41. OF describatur circulus STP I. Per hujus cir-
  42. cumterentiam totam cum partibus luis exBOnaTuE

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 337. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0371?run=74