Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRI E
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ſiue hoc ſit portio ſphæræ, vel ſphæroidis, ſiue tantum ſolidum ſi-
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milare genitum ex portione, VCBFR, vtrectangulum, BAO, ſiue
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quadratum, BA, ad rectangulum ſub, BM, & </
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O, OA, nam ſicut rectangulum, BAO, eſt tertia pars rectanguli
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24, lib. 2.</
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ſub, BA, & </
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">tripla, AO, ita ſolidum ſimilare genitum ex triangulo,
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BPN, eſt tertia pars ſolidi ſimilaris geniti ex, DN, vnde patet, &</
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">tertia colligitur, quam rationem habeat ſolidum ſi-
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milare genitum ex, BF, ſiue ſit cylindrus, ſiue priſma, ſiue tan-
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tum conicus, ad ſibi ſimilare genitum ex portione circuli, vel ellipſis,
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ICFS, ſiue hoc ſit fruſtum ſphærę, vel ſphæroidis, ſiue tantum ſo-
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lidum ſimilare genitum ex portione, ICFS, ſiue, AD, ſit a@is ſiue
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0282-01
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non, quę eadem eſt ei, quam habet re-
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ctangulum, DRA, ad rectangulum
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ſub, DR, & </
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M, & </
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">ex, MA, vna cam rectangulo
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ſub, RM, & </
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M, &</
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lare genitum ex triangulo, MCF, ſiue
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ſit conus, ſiue priſma, ſiue tantum co-
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nicus, ad ſibi ſimilare genitum ex por-
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tione, ICFS, ſiue hoc ſit fruſtum
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ſphæræ, vel ſphæroidis, ſiue tantum
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ſolidum ſimilare genitum ex tali por-
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tione, ICFS, erit vt rectangulum,
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DRA, ad rectangulum ſub compoſita ex, MD, DR, & </
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quialtera, MA, vna cum rectangulo ſub compoſita ex, MD, &</
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">ſub, {1/2}, MR, ſiue, AD, ſit axis, ſiue tantum dia-
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meter, quę iuxta antecedẽtium declarationem facilè percipi poſſunt.</
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">quarta patet ratio, quam habet ſolidum ſimilare ge-
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nitum ex, GX, quod apparet in ſuperioris figura, ad ſibi ſimilare
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genitum ex portione, ICFS, quæratio ibi conſpiciatur.</
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