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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 42

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: 0.90.

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The machine reads it as

  1. 42 DE VFRTBDS. E Y NIOTEBVS CORPORDM. LIB: I.
  2. eadem ratione T ad BB, vel permutando, quaelibet lincola in Rou-
  3. ra minore erit ad elementum currae Bb, licur homoloca linea in
  4. figura majore ad tenacitatem T ejusdem currx elementi. OuX Crant
  5. demonstranda..
  6. C OR O L L A R L. U M L.
  7. 9+. Ducta, S placet, per verticem A. recta AO arbitrarie magni-
  8. cudinis, axi AC perpendiculari, ac Cuper ca deseripto lemicirculo
  9. APO, agantur AP Parallela elemento Bb, de Ap aequidistans al.
  10. teri currie ec elemento contiguo BB, et jungantur cum lo rectam
  11. AP secans in C tum etiam PO; quibus peractis, crit BC: T = P
  12. AP. NNam (5. 93.) est BC: T = b8: Bb, atque ob parallelaS AP,
  13. Bb et Ap, BB, Sectores scu triangula BbQ _ APO Similia TUINE, aF-
  14. que adeo bs: Bb = PO: AP; ergo etiam BC: T =lQ: AP.
  15. C O R OL L A R. T u M II.
  16. et
  17. 95. Ouxlibet recta in figura BOFIF est ad homologam in siou-
  18. ra behf, ut alterutra. ex potentiis pBI rel pBM, guxe elementi Bb
  19. tenacitati Y aequipollent, ad homologum, id est relpondens latus in
  20. triansulo characteristico BMB: hoc est, quaelibet linca in Rigura
  21. majori est ad homolosam in minori sicut. pBL ad BI; vel sICUE pBM.
  22. ad BMI. Nam quia in utraque figura dux guaelibet linexe homolo-
  23. Bx Cune inter sC, sicut Y adt Bb, et quia T ad Bb, sicut pBI ad BL
  24. vel MB, au sicut pBM ad BM, liguet assercio hujus corollarii.
  25. C O R. O. L L A R F H.M. TIII.
  26. 96. Si omnes appHCata Potentix BFL currae perpendiculares sint,
  27. Ut BD; PaNCca d FI contundentur cum puncto D, cranelcenti-
  28. bus CFI, eh in utraque Agura majore ec minore; atque adeo tc.
  29. nacitas currae uibique aequalis erit tenacitati in vertice A, atque
  30. adeo constans seu data. Id est habebitur ubique I = A.
  31. C OR OL L A R Y U M IV
  32. P. AO Tcu anguli sBb, se sinus curritatis in B ad radium; crit
  33. in casu potentiarum curtu perpendicularium una carum BD cuili-
  34. hec currae pinuo asfucata ad tenacitatem sili (5. 96.) constan-
  35. tem
  36. 97. Tdcirco, cum (5. 94.) sIt BC: T = PD: AP = An. anguli

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 42. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0070?run=74