Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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parallelogrammo, AG, altitudine, FI, ad cylindricum ſub baſi por-
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tione, TCFEY, altitudine, IM, vna cum, {1/6}, cubi, TY. </
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<
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xml:space
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pſi verò, vt parallelepipedum ſub baſi parallelogrammo, AG, alti-
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tudine, FI, ad cylindricum ſub baſi portione, TCFEY, altitudi-
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ne, MI, vna cum ea parte cubi, TY, ad quam eiuſdem cubi ſexta
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pars ſit, vt quadratum, CE, primę diametri, ad quadratum ſecun-
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dæ .</
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<
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xml:space
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<
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ea parte parallelepipedi ſub, TY, & </
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<
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xml:id
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xml:space
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">rhombo, RZ, ad quam illius
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pars ſexta ſit, vt quadratum, CE, primæ diametri ad quadratum
<
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ſecundæ. </
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<
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">Ducantur per, T, Y, ipſi, PQ, parallelæ, Τ Δ, Υ Φ, ſe-
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cantes curuam, CFE, in punctis, R, V, quæ iungantur recta, R
<
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V, producta in, B, K, quoniam ergo, EC, eſt diameter, ad quam
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ordinatim applicantur, RT, VY, eas
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quoq; </
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æqualis, XY, ob parallelogrammum,
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SY, ergo, VX, erit etiam æqualis ipſi,
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RS, & </
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<
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eſt parallela, ergo, RV, TY, ſunt etiam
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æquales, & </
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<
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xml:space
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">parallelæ, eſtque, RV, in,
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M, bifariam ſecta.</
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</
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<
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<
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guræ, LCFEG, demptis omnibus
<
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quadratis trilineorum, CLT, EGY, in
<
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omnia quadrata figuræ, LCRT, dem-
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lb
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ptis omnibus quadratis trilinei, LCT,
<
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in omnia quadrata figuræ, GEVY,
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demptis omnibus quadratis trilinei, E
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GY, & </
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<
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xml:space
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FVY. </
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lib. 2.</
note
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duntur omnia quadrata figuræ, TRF
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VY, in omnia quadrata, YR, in om-
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nia quadrata portionis, RFV, & </
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<
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ctangula bis ſub, YR, & </
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FV, his ſeparatis, ad eorum ſingula comparemus nunc omnia qua-
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drata parallelogrammi, KG.</
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<
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xml:space
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note
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KB, ad, RV, vel vt parallelogrammum, KG, ad parallelogram-
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mum, RY; </
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<
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T, ſunt vt, BK, ad, KR, .</
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<
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drata, KT, ad omnia quadrata figuræ, LCRT, demptis omnibus
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quadratis trilinei, LCT, .</
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cum rectangulis bis ſub eadem, & </
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