Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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beat cylindrus, FH, ad ſolidum, CBNH, quod vocetur: </
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<
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ſis columnaris ſtricta hyperbolica: </
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<
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">Si verò dicta parallela ſit, HM,
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patet in figura Corollarij
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anteced. </
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<
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habeat cylindrus, FQ, ad
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ſolidum, CBOQ, quod vo-
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cetur: </
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<
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naris lata hyperbolica: </
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<
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tandem ſit, RS, voluto, FS,
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circa axim, RS, vt ex, FS,
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fiat cylindrus, FH, & </
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<
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gura, CBRS, ſolidum, CB
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DH, quod vocetur: </
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<
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mibaſis columnaris media
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hyperbolica: </
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<
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drum, FH, ad ſemibaſim, CBDH, eſſe vt quadratum, CS, ad qua-
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dratum, SE, quadratum, EI, & </
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<
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">rectangulum bis ſub, VE, ES, vt
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& </
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<
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">ſolida ſimilaria ex eiſdem genita iuxta communẽ regulam, CS.</
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">COROLLARIVM XVIII.</
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<
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<
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">habetur, viſis proximis antecedentibus figuris, ſe-
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m@anulum latuin hyperb@l@cum, CBDSOQ, ad ſemianulum
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ſtrictum hyperbo icum, CBDNH, eſſe vt, CM, MD, ad, DC; </
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ſic ſolida ſimilaria, &</
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<
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<
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<
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perbo@icam genitam ex ſem@hyperbola, CBE, ad ſem@anulũ
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@tr@ctum hyperbolicum, CBDNH, eſſe vt quadiatum, IE, ad re-
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ctangulum ſub, CD, & </
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<
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<
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">VNde in Corollario colligitur eandem conoidem ad ſemianu-
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lum latum hyperbolicum eſſe vt quadratum, EI, ad rectan-
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gulum ſub compoſitæex, CM, MD, & </
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da ſim@laria ex eiſdem figuris genita iuxta communem regulam,
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CD.</
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