Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 214

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: 0.87.

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

The machine reads it as

  1. 11I)
  2. 224
  3. PTITLOSOPMIAE NATDRALIS
  4. B. MorV. caris subducantur resistentixe, _C manCBunE ABHTC, RRIIC,
  5. CORrONOM Nn FTC, SC. ut vires absolutae quibus corpus in principio linsu-
  6. lorum temporum urgetur, atque adeo (per motus Legem IT) uc
  7. incrementa relocitatum, id es, ut rectangula Ak, RB, L. M, AIM, _C;
  8. e propterea (per Lem. I. Lib. TF) in progrestione Ccometrica. Oua-
  9. re rectae R _, L B Mm, Nn, _c. productxe occurrant FIyperbolae
  10. in gro 5, t3 eC. CrunE area ABgR, KLgr L. LrS M, M St N, _C.
  11. aequales, adeoque cum cemporibus cum riribus gravitatis Cemper
  12. aequalibus analoga. F A autem arca AB gK (per C OrOI. Z. L CM. VTI3
  13. _Lem. VIII, Lib. 2) ad aream Be gut Rg 2d 2kq Ccu AC 2d = AR,
  14. hoc est, uc vis gravicatis ad resictentiam in medio temporis primi.
  15. At simili argumento arcae
  16. gKLVrF. N5,SMNL, _C.
  17. Tune ad arcas gelr, rlm 5.
  18. SMnF, CcC. UC rires grari-
  19. tatis ad resistentias in me-
  20. dio temporis sccundis ter-
  21. tiisquarci, _c. Proinde cum
  22. arcae aequales BAKg. gRLr
  23. pL. MS, SMNLF, aC. Unevi
  24. ribus graritacis analogae
  25. runt arex Bkg, 9utr, rim5.
  26. smnt, ecc. relistentiis in mediis lingulorum temporum, hoc est (per
  27. TIypotheln) relocitatibus, atque adeo delcripeis spatiis analoge.
  28. Srmantur analogarum summae, ee crunt arex Bkq, BIT, BMS, BnF,
  29. ec. spatiis toris descripris analo8x; necnon arex ABgK, ABrL3
  30. AB5M. ABFNI, _cc. temporibus. Corpus igitur inter descenden-
  31. dum, tempore quoris ABr L describit spacium Blr, _ tempOrc
  32. Crt NEpacium rInt. d. F. D. I Mmilis est demonttratio mocus
  33. expoluci in aCcensu. d. F. D.
  34. Corol. T. Igitur velocitas maxima, quam corpus cadendo potest
  35. acquirere, est ad relocicarem dato quoris tempore acquilitam, ue
  36. vis daca gravitacis qua perperuo ursetur, ad rim rehstentix qua in
  37. tinc cemporis illius impeditur.
  38. Corol. 2. Tempore autem aucto in prosrectione Arithmerica, Cumma
  39. velocitacis illius maximae ac relocitacis in alcentu (atque exiam carun-
  40. dem differentin in descensu) decrescit in progressione Creometrica.
  41. C. Orol. 3. Scd ex difterentiae spaciorum, juae in aequalibus tempo-
  42. rum disterenciis deseribuntur, decrescunt in eadem proprectione
  43. Ceometrica
  44. Corot.
  45. LBMEEMIMMEMMMIIBMIMM

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 214. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0248?run=74