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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            tione eadem generant, nempè ex tenſo plano, FD, per axem, G
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            D, produci figuram, FH, compoſitam ex duobus parallelogram-
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            mis, FD, DM, & </s>
            <s xml:id="echoid-s10934" xml:space="preserve">figuram, CBDNH, compoſitam ex duabus hy-
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            perbolis, CBD, DNH; </s>
            <s xml:id="echoid-s10935" xml:space="preserve">patet ergo cylindrum, FH, ad ſolidum, C
              <lb/>
            BDNH, eſſe vt, FD, ad hyperbolam, CBD, & </s>
            <s xml:id="echoid-s10936" xml:space="preserve">ſic eſſe quodlibet
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            ſolidum ſimilare genitum ex, FD, ad ſibi ſimilare genitum ex hy-
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            perbola, CBD, iuxta communem regulam, CD.</s>
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          <head xml:id="echoid-head615" xml:space="preserve">COROLL. XVI. SECTIO PRIOR.</head>
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            <s xml:id="echoid-s10938" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10939" xml:space="preserve">16. </s>
            <s xml:id="echoid-s10940" xml:space="preserve">vt fiat exemplum, reuoluatur eius figura circa
              <lb/>
            axim, HM, vt ex, FM, fiat cylindrus, FQ, & </s>
            <s xml:id="echoid-s10941" xml:space="preserve">ex hyperbola, C
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              <figure xlink:label="fig-0439-01" xlink:href="fig-0439-01a" number="301">
                <image file="0439-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0439-01"/>
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            BD, ſolidum,
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            CBD, SOQ,
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            quod voce-
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            tur: </s>
            <s xml:id="echoid-s10942" xml:space="preserve">Semia-
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            nulus latus
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            hyperbolicus
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            patet ergo cy
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            lindrum, FQ,
              <lb/>
            ad ſemianulũ
              <lb/>
            latum hyper-
              <lb/>
            bolicum, CB
              <lb/>
            DSOQ, eſſe
              <lb/>
            vt, FD, ad
              <lb/>
            hyperbolam, CBD, & </s>
            <s xml:id="echoid-s10943" xml:space="preserve">ſic eſſe quodlibet ſolidum ſimilare genitum
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            ex, FD, ad ſibi ſimilare genitu@n ex hyperbola, CBD, iuxta com-
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            munem regulam, CD.</s>
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        <div xml:id="echoid-div993" type="section" level="1" n="591">
          <head xml:id="echoid-head616" xml:space="preserve">SECTIO POSTERIOR.</head>
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            <s xml:id="echoid-s10945" xml:space="preserve">VNde habetur ex Corollario cylindrum, FH, in figura Co-
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            rollarij antecedentis ad ſemianulum ſtrictum hyperbolicu,
              <lb/>
            CBDNH, eſſe vt cylindrum, FQ, in ſigura huius Corollar jad
              <lb/>
            ſemianulum latum hyperbolicum, CBDSOQ, & </s>
            <s xml:id="echoid-s10946" xml:space="preserve">ſic ſolida ſimi-
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            laria, &</s>
            <s xml:id="echoid-s10947" xml:space="preserve">c.</s>
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        <div xml:id="echoid-div994" type="section" level="1" n="592">
          <head xml:id="echoid-head617" xml:space="preserve">COROLLARIVM XVII.</head>
          <p>
            <s xml:id="echoid-s10949" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s10950" xml:space="preserve">17. </s>
            <s xml:id="echoid-s10951" xml:space="preserve">ſi, ducta parallela axi, vel diametro hyperbolæ, B
              <lb/>
            E, ſit, GD, patet in ſigura Corollarij 15. </s>
            <s xml:id="echoid-s10952" xml:space="preserve">quam ra@onem </s>
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