Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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lela eſt ipſi, ED. </
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0188-01
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milia triangula, AXB, SXC, ergo,
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rallela eſtipſi, AB, & </
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ipſi, OX,) .</
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go, VT, SC, erunt &</
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<
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xml:id
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<
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rum quadrata pariter &</
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<
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<
s
xml:id
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xml:space
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tem de cæteris ipſi, AB, parallelis
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idem oſtendetur, ergo omnes lineæ
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trapezij, AERB, erunt &</
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<
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">quales omnibus lineis trapeZij, AIDB,
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regula, AB, & </
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<
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<
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<
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eorundem quadrata pariter &</
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<
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<
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nem baſim vnum ęquidiſtantium laterum trapezij, quod
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ſit ſumptum pro regula; </
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<
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xml:space
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">Omnia quadrata parallelogrammi
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ad omnia quadrata trapezij erunt, vt quadratum dictæ baſis
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ad rectangulum ſub parallelis lateribus trapezij, cum, {1/3},
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quadrati differentiæ dictorum laterum &</
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<
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</
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<
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rum &</
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<
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xml:space
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">quidiſtantium alterum, vt, BC, ſit communis baſis ipſi, & </
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trapezio, & </
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drata trapezij, IBCO, eſſe vt quadratum,
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BC, ad rectangulum ſub, BC, IO, vna
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cum, {1/3}, quadrati differentiæ ipſarum, B
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CIO. </
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qualis ipſi, IO, & </
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E, ipſis, AB, DC, parallela ducatur, E
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toll. 23.
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huius.</
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M: </
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D, perlineam, EM, diuiduntur in omnia
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quadrata trianguli, EBM, & </
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<
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quadrata, MD, & </
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<
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angulo, EBM, &</
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paremus omnia quadrata, AC. </
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<
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<
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