Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER I.
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iangentium, ideſt ipſas, Χ Δ, Υ Ζ, FQ, KL. </
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poſitis, voco ſolida, Γ β 3 Φ, AHBM, ſimilia; </
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<
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GKD, ΧVΥΤ; </
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">dicθ figuras incidentes ſimilium ſolidorum iam
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dictorum, et oppoſitorum tangentium planorum, ℟ Δ, & </
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Π L; </
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<
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">ipſas autem figuras, β λ, Σ Φ, HE, CM, et eas, quarum
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extenſa plana ſimiliter ad eandem partem diuidunt altitudines
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ſolidorum, Γ β 3 Φ, AHBM, reſpectu dictorum tangentium
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planorum ſumptas, & </
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inter ſe diſpoſitæ, voco figuras homologas dictorum ſolidorum,
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ſumptas, regulis earum duabus, vel dictis tangentibus planis.</
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">_A_Duertendum eſt autem pro ſimilium figurarum nominatione,
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dum voco eas ſimiles figuras ſiue planas, ſiue ſolidas, me intel-
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ligere in eis d finitiones generales ſuperius allatas; </
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particulari nomine appello, intelligere definitiones particulares pro
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ipſarum ſimilitudine ab alijs, vel à me allatas, vt cum dicam, ſimi-
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les coni ſectionum portiones, intelligam particularem in eis definitio-
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nem, & </
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ticularem definitionem ſimilium rectilinearum figurarum, & </
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cæteris, licet vtramq; </
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lem, de eiſdem figuris verificari inferius oſtendemus.</
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neris vtcumque diſpoſitæ, prima ad vltimam dicitur
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habere rationem compoſitam exrationibus primæ ad ſe-
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cundam, ſecundæ ad tertiam, tertiæ ad quartam, & </
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inceps vſq; </
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tia comparatum fuerit, ſingillatim ad vnumquodq;
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cemus, colligere, vel, colligendo.</
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