Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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<
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<
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Conoides, ſiue Conoidum portiones appellabimus,
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quando per axes ductis planis ad rectos angulos baſibus
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conceptę in eiſdem ſolidis figurę ſimiles erunt (iuxta de-
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finit. </
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nes de ſimilibus figuris planis allatas, ſubintellige) qua-
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rum, & </
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<
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">baſium communes ſectiones ſint homologe baſium
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diametri, quę vel circuliſint, vel ſimiles ellipſes.</
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<
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& </
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ab Apollonio lib.</
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ctionum Coniportionum, ſumantur, vt abipſis afferuntur, adtuncto
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tamen definitioni ſimilium ſectionum Coni portionum ibidem ab Apol-
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lonio allatæ, ſi pro ſpatijs vſurpetur quam infr a dicetur.</
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ſingulis oppoſitę tangentes ita duci poſlunt, & </
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dem tangentes ita incidere ad eundem angulum, ex eadem
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parte rectę lineæ in illis terminatę, vt, ſi intra dictas op-
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poſitas tangentes eiſdem æquidiſtantes vtcumq; </
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rint rectę lineæ, eas, quę incidunt dictis tangentibus, ſimi-
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liter ad eandem partem ſecantes; </
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lelarum, nec non & </
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quę inter dictas incidentes, & </
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dem partem ſitę funt, eodem ordine ſumptas, eandem inter
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ſe rationem habere, quam rectæ lineæ, quę dictis tangenti-
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bus inciderunt, & </
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minantur, dicentur; </
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oppoſitarum, & </
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