Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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ſunt vt rectangulum, DES, ad rectangulum, EFS; </
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gula ſub, BF, FR, ad rectangula ſub triangulo, BEC, & </
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CESR, ſunt vt, FS, ad compoſitam ex, {1/2}, SF, &</
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ſumpta, EF, communi altitudine, vt rectangulum, EFS, ad rectan-
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gulum ſub, EF, & </
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<
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{1/6}, EF, &</
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rectangula ſub, AE, ER, ad re-
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ctangula ſub triangulo, BEC, & </
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trapezio, CESR, erunt vt rectan-
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gulum, DES, ad rectangulum ſub,
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EF, & </
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<
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{1/2}, FS; </
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">erant autem eadem rectan-
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gula ſub, AE, ER, ad rectangula
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ſub, AE, & </
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<
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idem rectangulum, DES, ad re-
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ctangulum ſub, DE, & </
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<
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ex, SF, &</
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do, rectangula ſub, AE, ER, ad rectangula ſub, AF, & </
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<
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CESR, & </
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</
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Corol.
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23. huius.</
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vt rectangulum, DES, ad rectangulum ſub, DE, & </
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<
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SF, &</
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EF, &</
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_20. huius._</
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modo vſitato oſtendemus omnes lineas trapezij. </
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reſiduis amnium abſciſſarum, BE, ſumptis verſus, E, adiuncti,
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EZ, & </
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adiuncta recta linea æquali ipſi, FS, ad punctum, B, quæ ſit, BV, & </
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omnes lineas, AE, æquari tot æqualibus adiunctæ, ZE, quot ſunt
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omnes abſciſſæ, BE, & </
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rum, EB, adiuncta, BV, ideò rectangula ſub iſtis erunt etiam æqualia
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rectangulis ſub dictis trapezijs, & </
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<
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vtcunq; </
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bit rectangula ſub tot æqualibus, ZE, quot ſunt omnes abſciſſæ, ſiue,
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maximæ abſciſſarum, EB, & </
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BV, ad rectangula ſub reſiduis omnium abſciſſarum, BE, adiuncta,
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EZ, & </
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