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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 282

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.

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The machine reads it as

  1. 232
  2. PHILOSOPMLAE NATOKCALIO
  3. DN MOrD Nam A uniformis sIE resCentia D R, Figura a B RRF reCtanGU-
  4. lum erit sub Ba 8c DR; e inde rectangulum (uD ZB a e Aa
  5. erie equale rectangulo sub B a SE D K, e D K aequalis erit : Aa.
  6. Ouarc cum D R sic exponens resiltentix, ex longitudo penduli ex-
  7. ponens gravitaris, erie relistentia ad gravicarem ut Z Aa ad longi-
  8. cudinem Penduli; ommino uE in PxOP. ZZ VrrI demonstratum cA.
  9. Si relctentia sic ut velocitas, Figura a B RR T FIlipsis erit quam
  10. proxime. Nam si corpus, in Medio non resistente, oscillatione
  11. incegra describeret longitudinem B A, relocitas in loco quovis D
  12. Foret ut Circuli diamerro B descripei ordinacim applicata D F.
  13. Proinde cum B a in Medio resiltence, ee B A in Mledio non resi-
  14. sente, aequalibus circiter temporibus describantur; adeoque velo-
  15. citates in lingulis ipsius
  16. Ba punctis, sint quam
  17. prexime ad velocitates
  18. in punctis correspon-
  19. dencibus longicudinis
  20. BA uC es Ba 2d BA;
  21. erit relocitas DK in
  22. Medio resistente ut Cir-
  23. culi vel Ellipseos SupCF
  24. diametro Ba delcripei
  25. ordinatim applicata; adeoque Figura B RV T a FIlipIS, quam pro-
  26. xime. Cum resistentia relocitati proportionalis supponatur, siEOV
  27. exponens resistentia in puncto Medio O; _ EIlipsiS a BRV S,
  28. centro O, semiaxibus OB, OV descripta, Figuram aBKVT,
  29. eique aequale rectangulum LaXBO, aequabie quamproxime. EA
  30. ioitur La XBO ad OV ZBO uc area F IlipeoS hujuS ad OV YBO:
  31. id est, Aa 2d OV ue area Cemicirculi ad quadratum radii, sive ut
  32. IF ad7 circiter: FE propterea F. Aa ad longicudinem penduli uE
  33. corvoris oscillaneis resistentia in O ad ejuldem gravitatem.
  34. Ouod A relictentia D R sic in duplicata ratione velocitatis, Fi-
  35. Gura BKV T a Parabola crit verticem habens V ee axem OV, id.
  36. eoque egnalis erie rectangulo (ub Z Ba eEOV quam proxime. FK
  37. isicur rectangulum sub EB a ec Aa aequale rectangulo (ub ZBa
  38. sc OF, adeoque OV aequalis + Aa: ex propterea corporis oscillan-
  39. ris resistentia in O ad ipsius gravitarem ut 2A a ad longicudi
  40. nem Penduli.
  41. AEque has conclusiones in rebus practicis abunde Paris accuratAS
  42. esse censeo. Nam cum EIlipsis vel Parabola BRV Sa congrUAE
  43. Cum
  44. CoxPBRDI

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 282. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0316?run=74