Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

Table of contents

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[431.] THEOREMA XVIII. PROPOS. XIX.
Page: 328 (308)
[432.] A. COROLL. SECTIO I.
Page: 328 (308)
[433.] B. SECTIO II.
Page: 329 (309)
[434.] C. SECTIO III.
Page: 329 (309)
[435.] D. SECTIO IV.
Page: 329 (309)
[436.] E. SECTIO V.
Page: 329 (309)
[437.] SCHOLIV M.
Page: 330 (310)
[438.] THEOREMA XIX. PROPOS. XX.
Page: 330 (310)
[439.] COROLLARIVM.
Page: 331 (311)
[440.] THEOREMA XX. PROPOS. XXI.
Page: 331 (311)
[441.] THEOREMA XXI. PROPOS. XXII.
Page: 332 (312)
[442.] THEOREMA XXII. PROPOS. XXIII.
Page: 333 (313)
[443.] COROLLARIVM.
Page: 334 (314)
[444.] THEOREMA XXIII. PROPOS. XXIV.
Page: 334 (314)
[445.] PROBLEMA II. PROPOS. XXV.
Page: 335 (315)
[446.] COROLLARIVM.
Page: 336 (316)
[447.] THEOREMA XXIV. PROPOS. XXVI.
Page: 337 (317)
[448.] THEOREMA XXV. PROPOS. XXVII.
Page: 337 (317)
[449.] COROLLARIVM I.
Page: 339 (319)
[450.] COROLLARIVM II.
Page: 339 (319)
[451.] THEOREMA XXVI. PROPOS. XXVIII.
Page: 340 (320)
[452.] COROLLARIVM.
Page: 341 (321)
[453.] THEOREMA XXVII. PROPOS. XXIX:
Page: 341 (321)
[454.] A. COROLL. SECTIO I.
Page: 341 (321)
[455.] B. SECTIO II.
Page: 342 (322)
[456.] C. SECTIO III.
Page: 342 (322)
[457.] D. SECTIO IV.
Page: 342 (322)
[458.] E. SECTIO V.
Page: 342 (322)
[459.] THEOREMA XXVIII. PROPOS. XXX.
Page: 343 (323)
[460.] A. COROLL. SECT IO I.
Page: 344 (324)
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            beat cylindrus, FH, ad ſolidum, CBNH, quod vocetur: </s>
            <s xml:id="echoid-s10953" xml:space="preserve">Semiba-
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            ſis columnaris ſtricta hyperbolica: </s>
            <s xml:id="echoid-s10954" xml:space="preserve">Si verò dicta parallela ſit, HM,
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            patet in figura Corollarij
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            anteced. </s>
            <s xml:id="echoid-s10955" xml:space="preserve">quam rationem
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            habeat cylindrus, FQ, ad
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            ſolidum, CBOQ, quod vo-
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            cetur: </s>
            <s xml:id="echoid-s10956" xml:space="preserve">Semibaſis colum-
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            naris lata hyperbolica: </s>
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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, & </s>
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            gura, CBRS, ſolidum, CB
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            DH, quod vocetur: </s>
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            mibaſis columnaris media
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            hyperbolica: </s>
            <s xml:id="echoid-s10960" xml:space="preserve">patet cylin-
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            drum, FH, ad ſemibaſim, CBDH, eſſe vt quadratum, CS, ad qua-
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            dratum, SE, quadratum, EI, & </s>
            <s xml:id="echoid-s10961" xml:space="preserve">rectangulum bis ſub, VE, ES, vt
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            & </s>
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          <head xml:id="echoid-head618" xml:space="preserve">COROLLARIVM XVIII.</head>
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            <s xml:id="echoid-s10964" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10965" xml:space="preserve">18. </s>
            <s xml:id="echoid-s10966" xml:space="preserve">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; </s>
            <s xml:id="echoid-s10967" xml:space="preserve">& </s>
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            ſic ſolida ſimilaria, &</s>
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          <head xml:id="echoid-head619" xml:space="preserve">COROLL. XIX. SECTIO PRIOR.</head>
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            <s xml:id="echoid-s10971" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10972" xml:space="preserve">19. </s>
            <s xml:id="echoid-s10973" xml:space="preserve">habetur, viſa figura Corollarij 15. </s>
            <s xml:id="echoid-s10974" xml:space="preserve">conoidem hy-
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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, & </s>
            <s xml:id="echoid-s10975" xml:space="preserve">dupla, VE.</s>
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          <head xml:id="echoid-head620" xml:space="preserve">SECTIO POSTERIOR.</head>
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            <s xml:id="echoid-s10977" xml:space="preserve">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, & </s>
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            da ſim@laria ex eiſdem figuris genita iuxta communem regulam,
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            CD.</s>
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