Philosophiae naturalis principia mathematica . Caf, PRINCIPIA MATHEMATICA. ^7. Cal. Ponamus jam Trapezii iatera oppofita AC ^ B1> non Libekefle parallela. Age Bd parallelam AC ^ occurrentem tum reftae^^^*ST in ?, tum Conicse leftioni in d. Junge Cd lecantem ?* ^ in r,& ipfi IP ^parallelam age D M fecantem C^ in i^ & AB ia N. i^- - > Jam ob fimilia triangula BTt,TfBN; eft Bt feu ^^ad Tf utZ)iVad NB. Sic & ier ell adA^ k\i T S m DM ad A , ducendo antecedentes inantecedentes & confequentes inconfequentes , ut redanguluiiiT ^in R r eft ad reftangularaT S in Tt , ita redangulumNT)

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Philosophiae naturalis principia mathematica . Caf, PRINCIPIA MATHEMATICA. ^7. Cal. Ponamus jam Trapezii iatera oppofita AC ^ B1> non Libekefle parallela. Age Bd parallelam AC ^ occurrentem tum reftae^^^*ST in ?, tum Conicse leftioni in d. Junge Cd lecantem ?* ^ in r,& ipfi IP ^parallelam age D M fecantem C^ in i^ & AB ia N. i^- - > Jam ob fimilia triangula BTt,TfBN; eft Bt feu ^^ad Tf utZ)iVad NB. Sic & ier ell adA^ k\i T S m DM ad A , ducendo antecedentes inantecedentes & confequentes inconfequentes , ut redanguluiiiT ^in R r eft ad reftangularaT S in Tt , ita redangulumNT) M eft ad redangulum ANB, ^ & (per Caf i.) ita rectangulum T^m Tr eil ad rectangulum TSin Tt, ac divifim ita rectangulum P^ X ^*^ eft ad rectangulumTSXTT. ^.;. Caf. 3. Ponaraus denique lineasquatuor T^,TR,TS,TT nonelfe paralklas lateribus AC, AB,fed ad ea utcunque inclinatas. Ea-rura vice age P ^ , ?* r parallelasipfi ACi & Ts, Tt parallelas ipfiAB ; & propter dafos angulos tri-angulorum T ^^ , T Rr , T S s,TTt, dabuntur rationes ?* ^ adTq,

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