Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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ei, quam habet, CO, ad, RZ, vel, CD, ad, RX, cum ſunt æqui-
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angula, ergo æqualia parallelogramma baſes habent altitudinibus,
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vel lateribus æqualiter baſibus inclinatis reciprocas, quod oſtendere
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opus erat.</
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homologorum.</
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xml:space
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">Sint ſimilia parallelogramma, AC, EG. </
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">lux diff.
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Sex. El.</
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plarat one laterum homologorum: </
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">Quoniam enim ſunt ſimilia illa
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ſunt æquiangula, ſint anguli, BCD, FGH, æquales, & </
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0140-01
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mologa, BC, FG; </
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">CD, GH, ſi ergo pro
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baſibus ſumpierimus ipſas, BC, FG, erit,
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">6. huius.</
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AC, ad, EG, in ratione compoſita ex ea,
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quam habet, BC, ad, FG, & </
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<
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">ex ea, quam
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habet, DC, ad, HG, quæ eſt eadem ei,
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quam habet, BC, ad, FG, vel, FG, ad
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tertiam proportionalem duaru, primę nem-
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pè, BC, & </
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<
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">ſecundæ, FG, ergo, AC, ad, EG, erit vt, BC, ad ter-
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tiam proportionalem duarum primę, nempè, BC, & </
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<
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.</
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<
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">erit in dupla ratione eius, quam habet, BC, ad, FG, vel, CD,
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5. Elem.</
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ad, GH, quod oſtendere opus erat.</
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bus oſtenſa ſunt, eadem de eorundem omnibus lineis cum quibuſ.
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</
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<
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">uis regulis aſſumptis pariter verificari, nam illa ſunt, vt ipſa paralle-
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logramma.</
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omnia quadrata, regula baſi, iuxta quam altitudo ſum-
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huius.</
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pta eſt, ſunt inter ſe, vt quadrata baſium.</
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