Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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<
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plano duæ rectæ lineæ, BD, IT, vtcumq; </
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xml:space
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in puncto; </
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">C, oportet illi parallelogrammum
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circumſcribere, cuius latera rectis, SD, IT,
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ſint parallela. </
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<
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">Ducantur ergo oppoſitæ tan-
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gentes figuræ, AOVE, reſpectu ipſius, IT,
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quæ ſint, KM, HL, & </
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<
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">aliæ duæ reſpectu ip-
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ſius, BD, quæ ſint, KH, ML, quæ cum
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prædictis concurrent, nam ſunt parallelæ ip-
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ſis, BD, IT, quæ inuicem concurrunr, ſit
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ergo concurſus in punctis, K, M, L, H, igi-
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tur, KL, erit parallelogrammum, cuius ſin-
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gula latera tangent ambitum ſiguræ, vt in
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punctis, A, O, V, E, & </
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<
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">ideò erit figuræ, AOVE, circumfcri-
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ptum, habens latera duabus datis rectis lineis, BD, IT, in figu-
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ræ, AOVE, plano ſe inuicem ſecantibus, parallela; </
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cere, &</
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ius plana oppoſita tribus datis planis, ſe inuicem ſe-
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cantibus, ſint parallela.</
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ACBD, quod-
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cumq; </
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tria plana, A
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CBD, AB, C
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D, ſe inuicem
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fecent, quæli-
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bet duo, opor-
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tetſolido, AC
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<
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BD, paralle-
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lepipedum cir-
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cūſcribere, cu-
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ius oppoſita
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plana prædi-
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ctis planis ſint
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parallela. </
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cātur duo pla-
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na oppoſita
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<
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huius.</
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tangentia dictum ſolidum reſpectu cuiuſuis planorum ſe </
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