Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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prædicta omnia quadrata, vel rectangula, vt ſupra ad inuicem
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comparata.</
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">habetur ſimiles conoides hyperbolicas eſſe in tri-
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Coro. 50.
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l. 1.</
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pla ratione axium, vel diametrorum earundem, quippe quæ
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ex ſimilibus hyperbolis naſcuntur: </
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figura, ſi ſupponantur ſimiles hyperbolæ, BAD, HMQ, vt fiant
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ex illis ſimiles conoides hyperbolicæ, FEG, HTS, iſtæ erunt inter
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ſe in tripla ratione axium, AC, MP, & </
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<
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l. 1.</
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ſimilare genitum ex hyperbola, FEG, ad ſibi ſimilare genitum ex
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hyperbola, HTS, iuxta regulas, FG, HS.</
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xml:space
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">expoſita eius figura, vt fiat exem plum, reuolua-
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tur circa axim, DG, vt ex, EG, fiat
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cylindrus, EF, & </
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lidum, DBGF, quod vocetur: </
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">Apex
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hyperbolicus; </
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">patet ergo cylindrum, E
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F, ad apicem, BDF, eſſe vt, BD, ad ſui
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reliquum, dempta ab eodem ſemihy-
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perbola, BED, vna cum exceſſu, quo
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ipſa ſuperat {1/3}. </
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">logrammi, BD, & </
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{1/6}. </
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">ſic eſſe patet, quodlibet ſoli-
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dum ſimilate genitum ex, BD, ad ſibi
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ſimilare genitum ex ſemihyperbola, BE
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D, iuxta communem regulam, ED.</
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eius figura, vt fiat exẽ-
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p@u@n, eadem voluatur cir-
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ca axim, GD, vt ex, FD,
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fiat cylindrus, FH, & </
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hyperbola, CBD, ſolidum,
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CBDNH, quod voeetur:
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bolicus: </
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ſe@nper hæc ſolida ſecari
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per axem, vt ijs producan-
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tur figuræ, quæ in </
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