Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER III.
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lutionem circa, CN. </
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">Solida anularia ſtricta, patet ergo cylindrum
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genitum ab, AN, ad ſolidum anulare ſtrictum genitum ex figura, B
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DMO, quæcunque ſit, eſſe vt, AN, ad eandem figuram, BDM
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O; </
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<
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">eſſe cætera ſolida ſimilaria genita ex his, iuxta ſumptamre.
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</
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<
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">gulam ſiue, CN, ſiue, NE, vtrifq; </
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<
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<
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">COROLLARIVM XXVII.</
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<
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">colligimus ſolidum ſimilare genitum ex, AF, dem-
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pto ſolido ſimilari genito ex, CF, ad ſolidum ſimilare genitum
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ex figura, HBDMF, dempto ſolido ſimilari genito ex figura, HB
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OMF, eſſe vt, AN, ad figuram, BDMO. </
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<
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fig-0299-01
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fig-0299-01a
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194
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0299-01
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gura, & </
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">pro noſtro exemplo
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ſupponatur, AF, eſſe rectan-
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gulum, reuoluaturq; </
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<
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nentem axim, HF, cylindrus
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ergo genitus ex, AF, dempto
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cylindro genito ex, CF, ad ſo-
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lidum genitum in reuolutione
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ex figura, BDMO, erit vt, A
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N, ad, BDMO; </
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<
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genita ex figuris inſcriptis re-
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ctangulo, BDMO, cum con-
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ditionibus ibirequiſitisvocabi-
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mus communiter: </
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<
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laria lata; </
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<
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">eadem patent de cę-
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teris ſolidis ſimilaribus genitis
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ex, AN, & </
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<
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">figura, BDMO, etiamſi, AF, non ſit rectangulum,
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quia tunc intelligo fieri generationem ſolidorum per deſcriptionem
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ſimilium figumrum, & </
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aſſumpſi, vnde patet, &</
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<
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">COROLLARIVM XXVIII.</
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<
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<
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<
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">docemur ſolidum ſimilare genitum ex, AR, ad ſo-
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lidum ſibi ſimilare genitum ex figura, BCGRMD, demptis
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ſolidis ſimilaribus genitis ex trilineis, BCG, GRM, eſſe vt, </
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