Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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&</
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<
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<
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S, vſque ad, B ℟, Y &</
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<
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">per, SV, ducantur, VF, SL,
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parallelæipſi, HA, ſunt igitur parallelogramma, BA, AY, LT,
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TF, BT, TY, PA, AZ. </
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<
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">Igitur parabola, AGH, ad portionem,
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HST, habetrationem compoſitam ex ea, quam habet parabola, H
<
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xml:space
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">Diff. 12.
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lib. 1.</
note
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GA, ad parallelogrammum, BA, ideſt ex ea, quam habent omnia
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quadrata, H &</
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<
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<
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xml:space
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">ipſa, GM,) ad om-
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note
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nia quadrata ſemicirculi, vel ſemiellipſis, HMA; </
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<
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habet, AB, ad, BT,
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ideſt, AH, ad, HT,
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ideſt omnia quadra-
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ta, & </
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quadrata, HZ; </
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">Ex antec.</
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ea, quam habet, BT,
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lib. 1.</
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ad portionem, HST,
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ideſt omnia quadra-
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ta, HZ, ad omnia
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quadrata ſemiportio-
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nis, HTV, ſed etiam
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omnia quadrata ſe-
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micirculi, vel ſemiel-
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lipſis, HMA, ad on-
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nia quadrata ſemipor
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tionis, HTV, ha-
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bent rationem com-
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poſitam ex ea, quam
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habent omnia qua-
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drata ſemicirculi, vel
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ſemiellipſis, HMA,
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ad omnia quadrata,
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H &</
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<
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habent hęc ad omnia
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quadrata ſemiportio-
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nis, HTV, ergo pa-
<
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rabola, HGA, ad portionem, HST, eſt vt omnia quadrata, HM
<
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A, ad omnia quadrata ſemiportionis, HTV, ideſt vt parallelepipe-
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dum ſub altitudine, XA, baſi quadrato, AH, ad parallelepipedum
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ſub altitudine, XT, baſi quadrato, TH; </
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rallelepipedum ſub altitudine tripla, AT, baſi quadrato, TH, cum
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cubo, TH, ſic. </
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<
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<
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">eſſe omnia quadrata ſemicirculi, vel ſemiellipſis,
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HMA, ad omnia quadrata ſemiportionis, HVT, oſtenſum eſt
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Lib. </
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