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

Table of contents

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[591.] SECTIO POSTERIOR.
Page: 439 (419)
[592.] COROLLARIVM XVII.
Page: 439 (419)
[593.] COROLLARIVM XVIII.
Page: 440 (420)
[594.] COROLL. XIX. SECTIO PRIOR.
Page: 440 (420)
[595.] SECTIO POSTERIOR.
Page: 440 (420)
[596.] COROLLARIVM XX.
Page: 441 (421)
[597.] COROLLARIVM XXL
Page: 441 (421)
[598.] COROLL. XXII. SECTIO PRIMA.
Page: 442 (422)
[599.] SECTIO II.
Page: 442 (422)
[600.] SECTIO III.
Page: 442 (422)
[601.] COROLLARIVM XXIII.
Page: 442 (422)
[602.] COROLLARIVM XXIV.
Page: 443 (423)
[603.] COROLLARIVM XXV.
Page: 443 (423)
[604.] COROLLARIVM XXVI.
Page: 443 (423)
[605.] COROLLARIVM XXVII.
Page: 444 (424)
[606.] COROLL. XXVIII. SECTIO PRIOR.
Page: 444 (424)
[607.] SECTIO POSTERIOR.
Page: 445 (425)
[608.] COROLL. XXIX. SECTIO PRIOR.
Page: 445 (425)
[609.] SECTIO POSTERIOR.
Page: 445 (425)
[610.] SCHOLIV M.
Page: 446 (426)
[611.] Finis Quinti Libri.
Page: 446 (426)
[612.] GEOMETRIAE CAVALER II LIBER SEXTVS. In quo de Spatijs Helicis, & Solidis in-de genitis, ac alijs quibuſdam ex ſuperioribus deductis, ſpecula-tio inſtituitur. DEFINITIONES, I.
Page: 447 (427)
[613.] II.
Page: 447 (427)
[614.] III.
Page: 448 (428)
[615.] IV.
Page: 448 (428)
[616.] SCHOLIVM.
Page: 448 (428)
[617.] THEOREMA I. PROPOS. I.
Page: 449 (429)
[618.] THEOREMA II. PROPOS. II.
Page: 449 (429)
[619.] THEOREMA III. PROPOS. III.
Page: 449 (429)
[620.] COROLLARIVM I.
Page: 450 (428)
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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,
              <lb/>
            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
              <lb/>
            hyperbolicus
              <lb/>
            patet ergo cy
              <lb/>
            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
              <lb/>
            ex, FD, ad ſibi ſimilare genitu@n ex hyperbola, CBD, iuxta com-
              <lb/>
            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-
              <lb/>
            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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