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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 338

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: 0.94.

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The machine reads it as

  1. 338DE VIRZBUS ET MOTIBUS COREORUM. L. IB. II.
  2. S C H OL YON.
  3. 588. In aliis rehstentiae hypothesibus res eradic paullo alcioris
  4. indarinis, quam in corollariis TII. X V. hujus; cum in omni alia
  5. hypOTheSi CUrrA ATRTC adhuc inrenienda sIC. IIlustris NCWTO-
  6. nus statim post propositionem in corollario IV. hujus citatam asse-
  7. RiC, hanc curram AR C ad ellipsn proxime accedere, (I, Curra ABC
  8. existente creloide, resistentia aëris fuerint celeritatibus proportio.
  9. nales; vel ad parabolam, si relistentiae fuerint in duplicata pro-
  10. Portione celeritatum. Sed, accurate ex mathematice rem lumen do,
  11. Deaenominata ATR TC non est elliplis in prima, nec parabola in
  12. altera reliltentiae hypochesi; sed, quantum conjicere licet, utroque
  13. calu erit transcendens. Ptenim, si resistentix tunt ut celeritates ac-
  14. quisitae, nondum constat, qua ratione curra ARC construi debcat,
  15. ne quidem concessis quadraturis Agurarum currilinearum. Pro al.
  16. tera vero hypothesi ac naturae magis consentanca nominata currX
  17. constructio haberi porest per quadraturas ex rectificationes currarum.
  18. Ex PrOpOSItIOnO XXIX. laudatissimi Nemtoni Lib. II. ejusmodi
  19. constructio peti potest in casu particulari, quo curra descensus ABC
  20. est crclois. Hloc loco rero generalem constructionem adducam pro
  21. quacunque curra ABC, idque semino modo.
  22. PROPOSITIOLZZIII. PHEOREMA.
  23. 589. Per quoalibet in linea AM producta punctum V, descripta lo-
  24. sarithmica VZY subtancentem habente aequalem datae lineae AC, ex
  25. asimptotam C, ac protensa NVD usque ad occursum P cum loc-mica
  26. VX; si omnia elementa PD. DN. Da alicujus solidi duobus planis MAV
  27. ex NDP interjecti erecto scilicet ad anculos rectos plano MABS super
  28. plano VAB, aequalia fuerint par allelexipedo AO. DO, sub quadrato
  29. subtaneentis loc micae e ordinata DO cujusdam curvae AOAC; Bo-
  30. moloea ordinata DT scala resistentiarum ARC erit quarta proportio-
  31. nalis ad ordinatas PD, DO e AO Subtancentem loc- mica V X.
  32. T. PHo linea pn alteri PN indetinite ricina, atque per puncta Y,
  33. O_E P Currarum AY, AO _ VP ducxe sint lincolae ID, G0, d
  34. Px; ac denique, sit DY quarta proportionalis ad PD, DO e AC.
  35. vel, quod eodem recidic, rec- lum PD. DT = AO. DO, e pd. dt -
  36. AO. do, id eA, PD. dt + Pr. at = PD. DT + PD. 1B + dt. pr = PD. DT +

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 338. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0366?run=74