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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 29

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. PRINOIPLA MATTIEMATIC A
  2. L F MIM A IX.
  3. Si recta AFP. ∞ curva ABC positione datae se mutuo secent in
  4. anculo dato a, e ad rectam illam in alio dato anculo ordina-
  5. tim applicentur BD, CF, curvae occurrentes in B, C; dein
  6. puncta B, C simul accedant ad punctum A: dico quod areae tri
  7. ansulorum ABD, ACF erunt ultimo ad invicem in duplicata
  8. ratione laterum.
  9. Ecenim dum puncta B, C accC
  10. dune ad punctum A, incelligatur
  11. semper AD produciad puncta lon-
  12. sinqua d ee e, uc lnE Ad. Ae ip.
  13. (1S AD, AF proxortionales, et e
  14. rigantur ordinatae ab, ec ordina.
  15. tis D B, L.C Parallelae quae Occur
  16. ranC ipsIS AB, AC productis it
  17. b ec c. Duci incelligatur, tum curva
  18. Abc ipA ABC similis, tum recta
  19. A8, Guxe tangat curram utramque
  20. in A, e secet ordinatim applica
  21. taS D B, F C, ab, ec in P, (, f, C.
  22. a
  23. Tum manente longitudine Ae cocane puncta B, C cum puncto 3
  24. et angulo c Ae cranelcente, coincident areae curvilincae Ab d. Acc
  25. cum rectilineis 1Fd, A5e: adeoque (per Lemma v) crunt in dupli.
  26. cata ratione laterum 1d, Ac: Sed his arcis proportionales semper
  27. TUnE AECa AB D, AC F, ec his laceribus latera A D, AF. RrOO_C
  28. arCx AB D, AC F. Cunc ultimo in duplicata ratione laterum AD,
  29. AF. d. F. D.
  30. L F MI M A X.
  31. Spatia quae corpus urcente quacunque Vi finita describit, sive Vis
  32. illa determinata es immutabilis sit, sive eadem continuo auce-
  33. atur vel continuo diminuatur; sunt ipso motus initio in duplica
  34. ta ratione Temporum.
  35. EXDONAnEUErempOTA per lincas AD, AF, de velocitates genitx
  36. Der Ordinatas D B, P.C; ex spatia his velociratibus deleripea, crune
  37. UE area ABD, AC F. his ordinatis descripce, hoc eA, ip (O mOTuS
  38. nicio (per Lemma 1X) in duplicata ratione temporum AD, AL.
  39. . F. D
  40. Corobu
  41. PATMDSI

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 29. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0063?run=74