Cavalieri, Buonaventura
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Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBERI.
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xml:space
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">IIſdem poſitis, præterquamquod, BV, ſit parallela ipſi, A
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F, ſed poſito, quod concurrat cum eodem latere, FA, ver-
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ſus verticem producto, vt in, Z. </
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<
s
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xml:space
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">Dico quadratum, ED, ad
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quadratum, MO, eſſe vt rectangulum, ZVB, ad rectangu-
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lum, ZNB.</
s
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<
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<
s
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xml:space
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">Quia enim quadratum, EV, eſt æquale rectangulo, CVF, & </
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quadratum, MN, rectangulo, HNR, ideò quadratum, EV, ad
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Elem.</
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<
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0103-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0103-01
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quadratum, MN, erit vt rectangulum, CV
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F, HNR, rectangulum verò, CVF, ad,
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HNR, habet rationem compoſitam ex ea,
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quam habet, CV, ad, HN, (vt infra inde-
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pendenter ab hac Propoſit. </
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<
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">probatur) .</
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">VB,
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xml:space
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">Ex Sexta
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lib. 2. ſeq.
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vel ex 23.
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Sexti El.</
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ad, BN, quia trianguli, CVB, HNB, ſunt
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æquianguli, & </
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<
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">ex ea, quam habet, VF, ad,
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NR, ideſt, VZ, ad, ZN, quia trianguli, V
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FZ, NRZ, ſunt æquianguli, duę verò ra-
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tiones, VB, ad, BN, &</
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<
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">, VZ, ad, ZN,
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<
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">Ex Sexta
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lib. 2. ſeq.
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velex 23.
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Sexti El.</
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componunt rationem rectanguli, ZVB, ad
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rectangulum, ZNB, ergo rectangulum, C
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VF, ad rectangulum, HNR, .</
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<
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<
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xml:space
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">quadratum,
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EV, ad quadratum, MN, vel quadratum, ED, ad quadratum, M
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O, erit vt rectangulum, ZVB, ad rectangulum, ZNB, quod oſten-
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dere opus erat; </
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<
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<
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xml:space
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<
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">TAndem eiſdem poſitis, preterquam dicto concurſu, po-
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ſito, inquam, BV, concurrere cum vtroq; </
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<
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guli per axem, & </
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<
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">productum, etiam cum baſi trianguli per
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axem conuenire, vt in, 2. </
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<
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dratum, MO, eſſe vt rectangulum, VSB, ad rectangulum,
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VNB.</
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<
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">Sit ergo talis hic appoſitum ſchema, in quo planum figuræ B ℟
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VD, (cuius axis, vel diameter ſecat vtraque latera, AC, AF, & </
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producta incidit in baſim, CF, productam in, 2,) extenſum </
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