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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 335

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. DE VERTBUS ET MOTZDUS CORPORUM. LIB. II. 335
  2. pendiculares excitentur proportionales resistentiis aëris, quas mobile in ho-
  3. molosis curvae punctis subit. Area curvilinea, quae omnes ejusmodi per-
  4. pendiculares continet, aequabitur rectansulo, à recta, quae eravitatem
  5. uniformem exponit, in differentiam abscissarum arcuum descensu es
  6. ascensu descriptorum.
  7. Esto ADB curra descensu mobilis _ BF C ascensu deseripta, Cur- Pig. 134.
  8. rae hujus BFC abscisa CA BFT, illius rero BC, adeoque OFI erit
  9. differentia absciNarum. Fxtensa deinde FOta curra ABC in lineam
  10. rectam ABC, atque in singulis hujus rectae punctis D, crectae sint
  11. perpendiculares DT exponentes relistentiam medii in homologis
  12. currae punctis B, Formantesque sicuram currilineam ATRC, quam
  13. aequari ottendam rec- lo BB in GTI, supponendo rectam BB expone-
  14. re graritatem uniformem.
  15. In eadem DT producta sumatur, ubi DN, quae Policitationem tan-
  16. sentialem graritatis in currae puncto D ex contrali deriratam ex-
  17. DOnet ND = TD excelsus Colicitationis tansentialis gravitatis supra
  18. relistentiam aeris, Tolicitationem acceleratricem mobilis in curra
  19. ADB descendentis. Jam momentum hujus solicitationis acceleratri-
  20. cis, hoc er, (ND - TD.) Dd, vel ND. Dd =TD. Dd, hoc CR, ele-
  21. MENEUM AFCX AMIND = elem. AFCX ATD (5. 5. 132, 484.) aequatue
  22. momento celeritatis mobili in curra puncto Dacquilitae, scu elemen-
  23. to dimidii quadrati ex dicta celeritate acquisita; unde, cum in A
  24. omnia a nihilo incipiane, ex omnia momenta Colicitationis accele-
  25. ratricis aequentur omnibus momentis celeritatis, exIE arCA AMINN
  26. =arCa ATD = dimid. quadr. relocitaris in D, _ arCA AMIIISB.
  27. arCa ATRB = dimid. quadrat. relocitatis acquisEx in B.
  28. Si porro mobile in curra BF C alcendit, resictentia totalis, in quo-
  29. libet ejus puncto P (5. 48T.) exIE NF + TE, e momentum hujusre-
  30. SistenEla FOTalIS sen (NH, + TF) eF =NF. ek + TE. et = elCM. AFCX
  31. MNEC = elem. areX CTF aequatur momento celeritatis decrelcen-
  32. tis mobilique in currae puncto F residux, seu elemento dimidii qua-
  33. drati ex celeritate in F; unde, quia delata NVE in MC, omnia in
  34. nihitum deSIMUNE, CFIE aECA NINEC L area CTF = dimid. quadr.
  35. ex veloc. in E, adlcOque etIam MNISBC L CTRB = dimid. qua-
  36. drato ex celeritate initiali in B. Requi haec celeritas initialis in B,
  37. eadem est cum relocitate acquisita in B, post delcensum mobilis in
  38. CUETA ADB: ErOO AMASB =ATEBA (=dimid. quadeaco celeri-
  39. tatis in B) =OMNSBO FCTRBC, adeoquo tota Rgura resisten-
  40. tiacum ATRC A = AMHSB --CMASB.
  41. AFa
  42. e

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 335. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0363?run=74