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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 246

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: 0.89.

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The machine reads it as

  1. 246 D E V ERTBDS F Y NIOTIBVS GORPORDM. LIB. HI
  2. diagonalis AF promoti in Auido, praecedente quadrati vertice F, ad
  3. relistentiam lateris BF. Auidi, imprestionem ad angulos rectos exci-
  4. Pieneis, est uEBF ad BA, Seu uElatus BH ad diagonalem BR, adco-
  5. que invertendo, resistentia lateris BF super AF perpendiculariter in
  6. Auido delati, ad relittentiam quadrati juxta diasonalem incedentis,
  7. est ut diameter ad latus.
  8. GOR OL E A R L U M TT.
  9. 440. Resistentia coni recti BER juxta directionem axis AF in
  10. Auido delati, praecedente tamen ejus rertice P, erit ad relistentiam
  11. ejuSdem, pEXCuNEO ejuS BaSI BR SIECrUM NE AI ad AP, PCu UE BF ad
  12. BF. Nam (5. 435.) relistentia primi calus est ad alteram, ut cylin-
  13. AruS ex rectanguIO AEI CirCa AP ad Cplindrum Cx GUadEaLO ANI
  14. circa eandem AP, Led prior cslindrus eM ad alterum ut AI ad AP,
  15. cum utriusque cxlindri basis sic cadem. Argo ec.
  16. PROPOSTTIOZLVI. PRODLEMA
  17. E1s. 2r0: 44. I. Assienare resistentias Sectionum Conicarum juxta directionem
  18. axis in puido motarum.
  19. Si ABC AE ellipsis vel Byperbelat CUjUS CeNErUm SIE in MI; dican-
  20. turque TemilatuS FranSVerTUM AM, b; Parameter c; absciAX AN,
  21. X; lemiordinatxe NB, y; aequatio ellipleos e hyperbola erit byy =
  22. 2bcx + caex, in differentiata aequatione brdy =bedae F caeda, loco dif-
  23. Ferentialium du, dae carum proportionales a e m Tubstituantur, quae
  24. Funit nomina lincarum R A e AS, Aetque aby = bem L CMX, atque
  25. adeo m = aby: bc L C∞, _ mm = aabbyy: bbcc F 2bCC~ + CCa∞ (vel sub.
  26. SIFutO ex aequatione Currae ralore ipSIUS = 2bCCX F CCXN, in y) =
  27. aabbry: bbcC = b0); hinc aa + Mm = (aabyy 4 aabCc F aaCYy): bCc = Cy);
  28. hinc, quia (5. 437.) t = a: aa + mm, exit t = abcC acyy: bcC + byy F Cyy
  29. (Icu Ponendo e pro b =C) = abcc F acyy: bCC - + eyy, eE HXC FOTCE Xqua-
  30. tio Ccalae resistentiarum CIY; ponatut insuper bec = eff, et xquatio
  31. CUEVROIP eritE = aess F acyy: efs + eyy = + ac: e; + aff + aeff: ess +
  32. ery (8 Tubstituendo in numeratore poltremae Fraecionis, loco + C + C
  33. Cuum ralorem B) = F ac: e; + abff: eff. + ey7.
  34. Tgitur elemenEm aPCX MTTIV, seu rec lum IITB = = acdy: e; +
  35. abffdy: efs + eyy = acdy: e; abda: e; nominando arcum circularem
  36. Cujustansens elty ec radius f; quandoquidem (8. 166.) hujus ar-
  37. C

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 246. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0274?run=74