Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER III.
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ta figuræ, BDMO, cum rectangulis bis ſub eadem ſigura, & </
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trilineis, BCO, ONM, erunt vt, AN, ad figuram, BDMO,
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quod oſtendere opus erat.</
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ctis lineis, DO, VR, & </
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<
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">ſit adhuc regula, EN, produ-
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cantur autem ad eaſdem partes, AC, EN, in, HF, ita vt, C
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H, ſit æqualis, NF, iuncta igitur, HF, erit, HF, parallela
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ipſi, CN, quoniam, CH, NF, ſunt æquales, & </
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<
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& </
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quadrata, AN, cumrectangulis bis ſub, AN, NH, ad om-
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nia quadrata figuræ, BDMO, cum rectangulis bis ſub ea-
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dem, & </
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<
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ram, BDMO.</
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<
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gurę, BDMO, cum rectangulis bis ſub eadem, & </
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note
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O, ONM, ſunt vt, AN, ad figuram, BDMO. </
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26. lib. 2
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.</
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ſub, AN, NH, ad rectangula ſub figura, BDMO, & </
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ſunt vt, AN, ad f
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iguram, BDMO, & </
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<
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">eadem rectangula ſub, AN,
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NH, bis ſumpta ad rectangula ſub figura, BDMO, & </
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bis ſumpta erunt pariter, vt, AN, ad figuram, BDMO, . </
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quadrata, AN, ad rectangula bis ſub figura, BDMO, & </
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neis, BCO, ONM, cum omnibus quadratis eiuſdem figurę, BDM
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O, ergo vt vnum ad vnum, ita omnia ad omnia. </
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ta, AN, ad omnia quadrata figuræ, BD
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MO, cum rectangulis bis ſub eadem figu-
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ra, & </
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nia quadrata, AN, cum rectangulis bis ſub,
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AN, NH, ad omnia quadrata figuræ, B
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DMO, cum rectangulis bis ſub eadem, & </
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ſub trilineis, BCO, ONM, & </
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dem, & </
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eadem, & </
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</
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nia quadrata figurę, BDMO, cum rectangulis bis ſub eadem, & </
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drata, AN, cum rectangulis bis ſub, AN, NH, ad omnia quadrata
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figurę, BDMO, cum rectangulis bis ſub, eadem, & </
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