Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER II.
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<
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">Erit enim, AM, parallelogrammum, vnde, MA, ad, AD, erit
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vt, CM, ad, CD, AD, verò ad trian
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gulum, FCD; </
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<
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">eſt vt, CD, ad, {1/2}, C
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D, ergo, AM, ad triangulum, FCD,
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erit vt, MC, ad, {1/2}, CD, eſt autem,
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AM, ad, FM, vt, CM, ad, MD,
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ergo, colligendo, AM, ad, FM, cum
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triangulo, FCD, ideſt ad trapezium,
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OFCM, erit vt, CM, ad, MD, cum,
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{1/2}, DC, quod oſtendendum erat.</
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">_M_Anifeſtnm eſt autem, ſi, CD, ſit æqualis ipſi, DF, omnes lineas
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_antec._</
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parallelogrammi, AD, regula, CD, eſſe æquales maximis ab-
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ſciſſarum, FD, & </
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omnibus abſciſſis, FD. </
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">Nunc ſi intelligamus cuilibet earum, quæ dicun-
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tur maximæ abſciſſarum, vel abſciſſæ, adiungirectam, DM, vocantur
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tunc maximæ abſciſſarum, vel abſciſſæ adiuncta, DM, hæc autem ſunt
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_huius._</
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eædem illis, quæ habentur in parallelogrammo, AM, & </
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MO, nam ſi produxeris, NE, vſq; </
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cta tum ipſi, NE, vni ex maximis abſciſſarum, FD, tum ipſi, HE,
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vni ex omnibus abſciſſis, FD, &</
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">, EX, adiuncta eſt æqualis ipſi, DM,
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vnde omnes linea, AD, adiuncta, DM, ſunt omnes lineæ parallelo-
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grammi, AM, & </
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<
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iuncta, DM, & </
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<
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">omnes lineæ trianguli, FCD, adiuncta, DM, ſunt om-
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nes lineæ trapezij, FCMO, & </
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<
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D, adiuncta, DM. </
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M, ad, MD, cum, {1/2}, DC, ideò omnes lineæ, AM, ad omnes lineas
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trapezij, FCMO, (regulam hic ſemperintelligeipſam, CM,) .</
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ximæ abſciſſarum, FD, adiuncta, DM, ad omnes abſciſſas, FD, adiun-
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cta, DM, erunt vt, CM, compoſita nempè ex propoſita linea, CD, ſiue
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ex propoſita, FD, illi æquali, & </
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iuncta, MD, &</
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ad partes, C, vtcunque, vt in, R, & </
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logrammum, GC, oſtendemus trapezium, FGRC, ad </
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