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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 264

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: 0.86.

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The machine reads it as

  1. 264 DE V FRTBUS ET MOTTBUS CORPORUM. L IB. II.
  2. Peractis, praebebune bblt -aalt -aaht; + 2. (aa + bb) 2. bet: 30 = -
  3. 26b2D; + 2. (aa + bb) . bed: 35. Atqui (secundum hrpothesin) cAt b L
  4. B = k, _ (5. 454.) cC = aa + bb, erso hi ralores, in postrema xequa-
  5. tione suffecti, praebebunt bblt -aant + 3bcet = - 26bl0 + 3bc ed. TTinc
  6. etiam 2bb1t + 6bbeD = 3aakt = 2bcet = 2bcet, et quadrando 9b.IIH +
  7. 36bhtB = TBaabblet + 36b22B - 36aabbkKHF + 9a kH = (4bbeedo -
  8. 8bbeeto + Abbeett) in cc. Unde substituendo aa F bb loco CC, fet
  9. aabbeedo =Saabbeeto = qaabbeett + 4b eedo -8b eetB + 4b cet t = 9b. IlHF
  10. =366to = =8aabbIKHF. + 36bteBB = 36aabbkktL + 9artetHt. Vel Positis
  11. loco bec a proportionalibusr. X B, in hac postrema aequatione, Prore.
  12. MICE Arreed =Srreeto + ArreettOB + 4r eedo - 8r eetB + 4r eett =Or IEt
  13. + 36r+ RrB = 28r= IR++DD, + 36r 4kkBD -ZCrrkkHIBO + OkKHHO. F. X qua li-
  14. quet problema esse Colidum, nam radices hujus aequationis biqua-
  15. draticae exhibent ralorem tansentis quaesitxe o, seu tansentis ansuli
  16. TAW, seu anguli declinationis bilinei 2BAC.
  17. C OR O. E L A R Y U II V.
  18. 46T. Si CUIrrA AB. e A2B sunt aequales, adeo ut communem
  19. abscintam AFI habeant e ordlinatas aequales BII e 2B2TI, uc in A-
  20. SUTa TI3. CTUNE AT = A2 eF A3 =0; BF =B2, _ CF =C2; DI =
  21. D2, lingula rero B3, C3 e D3 Perinde ac A3 _quales O; era-
  22. nelcet pariter linca, quae in AGUta LTS. TCPERTenEatur DeT DEI vel
  23. D2TI, altoraque, quae crat in hac cadem Agura IA, in priore scili-
  24. cet A8. 213. erit BII. Hoc eroo calu Formula generalis paragraphi
  25. 459. mutabitur in aat. BII + (bbF = aat). B2 = 2660. C2. In exemplo
  26. proinde superiore (5. 457.) currae parabolicae, retentis Eymbolis il-
  27. lic positis, erunt BIL, =Y; B2 = W ∞ C2 =7 = 0 = C, atque adcox-
  28. quatio aat. BII + (bbF =aat). B2 = 2668. C.2, abibit in aaty + bbto -
  29. aatio = 2bbDC, vel aate + bbt0 = 26b08; atque adeo lubrogatis loco a
  30. ec b proportionalibus d et r, erit teB + rrto = 2rreo, ac proinde
  31. dd =
  32. 2rr0
  33. rrao
  34. ; quae est eadem aequatio, quam citato locoreperimus.
  35. Ac sciendum hanc solutionem imperfectam esse, quoniam aequatio
  36. amplius non inserrie, si ratiotangentis y ad arcum a minor fuerit du-
  37. Plicata ratione secantis anguli SAW ad radium in Ag. 114. SCd c0
  38. in calu ipla B, ne quidem suxposita arcuum circularium rectiticatione,
  39. nulla aequatione alsebraica exhiberi potest.
  40. SCH

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 264. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0292?run=74