Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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">_S_Imiles ellipſes ſunt in dupla ratione ſuorum axium, vel diametrc-
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rum homologarum, vel vt corundem quadrata.</
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">_P_Ro circulis autem (vt ſupra dictum eſt) hoc tantum habetur, quod
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ſint vt diametrorum quadrata, vel in dupla ratione diametrorum;
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rioribus compertum eſt.</
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">de omnibus quadratis parallelogrammorum,
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appoſitas ibi conditiones habentium, oſtenſa ſunt in
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Theor. </
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circulorum, vel ellipſium illis inſcriptorum (regula in
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vtriſque altero axium, vel diametrorum coniugatarum) ve-
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rificabuntur.</
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lipſium (regula altero axium, vel diametrorum) ſunt ſubſexquial-
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buius.</
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tera omnium quadratorum parallelogrammorum, quibus inſcri-
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buntur, latera habentium dictis axibus, vel diametris parallela; </
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bentibus autem illis appoſitas ibi conditiones in ſuis lateribus, eędem
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adſunt in axibus, vel diametris circulorum, vel ellipſium, quibus
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circumſcribuntur, & </
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<
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">ideò concluſiones, quæ collectæ
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ſunt pro illis in dictis Theor. </
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<
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rum, vel ellipſium illis inſcriptorum, vt demonſtratę recipi poſſunt,
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cum fint eorum partes proportionales, ijſdem regulis pro omnibus
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quadratis circulorum, vel ellipſium, & </
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tis parallelogrammorum illis circumſeriptorum, aſſumptis,
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quod, &</
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<
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