Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRI Æ
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drilineo, MTVN, bis ſumpta, ſunt ad omnia quadrata, HV, vt
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portio, SMT, ad parallelogrammum, HV. </
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drata, HV, ad omnia quadrata, VD,
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ſunt vt, HR. </
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ad, VD; </
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">modo, quo ſu-
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pra, oſtendemus omnia quadrata, RF,
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ad omnia quadrata portionis, SET, cum
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rectangulis bis ſub eidem, & </
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<
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">ſub trilineis,
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TGV, GEF, eſſe vt, RF, ad portio-
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nem, SET, ergo ex æquali, omnia
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quadrata portionis, SMT, cum rectan-
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gulis bis ſub eadem, & </
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<
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">ſub quadrilineo,
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MTVN, ad omnia quadrata portio-
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nis, SET, cum rectangulis bis ſub eadem. </
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GFE, erunt vt portio, SMT, ad portionem, SET. </
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</
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titudine cum portionibus, vel fruſtibus portionum exiſtentium,
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ad omnia quadrata earundem ſimul cumrectangulis bis ſub ijſdem, & </
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ſub quadrilineis, vel trilineis, quæ illis èregione reſpondent lateri,
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NF, adiacentia, veluti ſupra fuerunt quadri ineum, MTVN, & </
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trilineum, TGV, GEF, eſſe, vt eadem parallelogramma ad eaſdem
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portiones, vel portionum fruſta, quod ex ſupra dictis clarè patet.</
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ellipſim ducta quacunq; </
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dente ipſum vtcunq; </
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co omnia quadrata portionis, SMT, cum rectangulis bis
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ſub eadem, & </
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ta portionis, SET, cum rectangulis bis ſub eadem, & </
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drilineo, TGEOX, eſſe vt portio, SMT, ad portionem, SET.</
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26. l. 2.</
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YZ. </
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miportione, MYT, ſunt vt, MX, ad, MYT, diuide rectangula
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