Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER III.
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">omnia quadrata figuræ, LCFE
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G, demptis omnibus quadratis trilineorum, CLT, YGE,
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regula, FI, ad omnia quadrata portionis, TCFEY, regu-
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la baſi, TY, eſſe, in circulo, vt cylindricus ſub, IM, & </
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<
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tione, TCFE Y, vna cum, {1/@}, cubi, TY, ad parallelepipe-
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dum ſub altitudine, FI, baſi verò rectangulo ſub, FI, & </
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ſexquitertia duarum, IH, HN. </
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tionem compoſitam ex ea, quam habet cylindricus ſub, IM,
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& </
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<
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">portione, TCFE Y, vna cum ea parte cubi, TY, vel pa-
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rallelepipedi ſub, RV, & </
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<
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">rhombo, RZ, ad quam eiuſdem
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cubi, vel parallelepipedi ſexta pars fit, vt quadratum, CE,
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ad quadratum, FH, ad parallclepipedum ſub altitudine, L
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G, baſi parallelogrammo, AG; </
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<
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dratum, FH, ad rectangulum ſub, FI, & </
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<
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duarum, IH, HN.</
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<
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<
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">figuræ, LCFG, demptis omnibus qua-
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dratis trilineorum, CLT, YGE, oſtenſa ſunt eſſe ad omnia qua-
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drata, AG, regula, FI, vt cylindricum ſub, MI, & </
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tione, TCFE Y, vna cum, {1/6}, cubi, TY, in circulo (in ellipſi ve-
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rò vna cum ea parte cubi, TY, vel parallelepipedi ſub, RV, & </
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rhombo, RZ, ad quam eiuſdem, {1/6}, ſit vt quadratum, CE, ad
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quadratum, FH,) ad parallelepipedum ſub, LA, & </
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<
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grammo, AG. </
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">Vlterius omnia quadrata, AG, regula, FI, ad
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omnia quadrata eiuſdem, AG, regula, LG, ſunt vt, AL, ad, L
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G, .</
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ad parallelepipedum ſub, LG, & </
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G, ergo ex æquali omnia quadrata figuræ, LCFEG, demptis
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omnibus quadratis trilineorum, CLT, YGE, regula, FI, ad om-
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nia quadrata, AG, regula, TY, erunt vt cylindricus ſub, MI, & </
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portione, TCFEY, vna cum, {1/6}, cubi, TY, in circulo, in ellipſi
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verò vna cum dicta parte cubi, TY, vel parallelepipedi ſub, RV,
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& </
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<
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mo, ALG.</
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<
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">Tandem omnia quadrata, AG, ad omnia quadrata portionis,
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