Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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        <div xml:id="echoid-div636" type="section" level="1" n="369">
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        <div xml:id="echoid-div637" type="section" level="1" n="370">
          <head xml:id="echoid-head387" xml:space="preserve">COROLL. X. SECTIO PRIMA.</head>
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            <s xml:id="echoid-s6606" xml:space="preserve">IN Propoſ. </s>
            <s xml:id="echoid-s6607" xml:space="preserve">1 2. </s>
            <s xml:id="echoid-s6608" xml:space="preserve">dicimus, quod ſi circuli, vel ellipſes habuerint in
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            ſuis coniugatis axibus, vel diametris eas conditiones, quas ſup-
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            poſuimus in elſe lateribus parallelogrammorum in Theor.</s>
            <s xml:id="echoid-s6609" xml:space="preserve">9. </s>
            <s xml:id="echoid-s6610" xml:space="preserve">10. </s>
            <s xml:id="echoid-s6611" xml:space="preserve">11.
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            </s>
            <s xml:id="echoid-s6612" xml:space="preserve">12. </s>
            <s xml:id="echoid-s6613" xml:space="preserve">13. </s>
            <s xml:id="echoid-s6614" xml:space="preserve">Lib. </s>
            <s xml:id="echoid-s6615" xml:space="preserve">2. </s>
            <s xml:id="echoid-s6616" xml:space="preserve">quod pro eorum circulorum, vel ellipſium omnibus
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            quadratis regula baſi ſequentur eædem concluſiones ibi collectæ, ſi
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            enim nis circumſcribantur parallelogramma latera habentia axibus,
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            vel diametris coniugatis circulorum, vel ellipſium parallela, habe-
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            bunt hæc parallelogramma requiſitas conditiones in ſuis lateribus,
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            & </s>
            <s xml:id="echoid-s6617" xml:space="preserve">ideò ſequentur iam dictæ concluſiones pro parallelogrammis, & </s>
            <s xml:id="echoid-s6618" xml:space="preserve">
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            conſequenter pro omnibus quadratis ellipſium illis inſcriptorum,
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            cum hæc ſint ſubſexq uialtera omnium quadratorum parallelogram-
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            morum illis circum ſcriptorum ideſt vt clarius loquar, ſi circulus, & </s>
            <s xml:id="echoid-s6619" xml:space="preserve">
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            ellipſis, vel duæ ellipſes fuerint circa eandem diametrum, vel circa
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            æquales diametros, velaxes, erunt omnia quadrata eorundem regu-
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            lis ſecundis axibus, vel diametris, vt omnia quadrata parallelogram-
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            morum illis circumſcriptibilium, latera habentium dictis axibus, vel
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            diametris parallela, regulis eildem retentis, & </s>
            <s xml:id="echoid-s6620" xml:space="preserve">quia omnia quadrata
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            parallelogrammorum, latera baſibus æquè inclinata & </s>
            <s xml:id="echoid-s6621" xml:space="preserve">qualia haben-
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            tium regulis baſibus, ſunt vt quadrata baſium, ideò omnia quadrata
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            circulorum, vel ellipſium circa eundem axim, vel diametrum, vel
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            æquales conſtitutorum, erunt vt quadrata ſecundorum axium, vel
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            diametrorum, & </s>
            <s xml:id="echoid-s6622" xml:space="preserve">ideò ſolida ſimilaria genita ex ipſis iuxta eaſdem
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            regulas, erunt vt quadrata ſecundorum axium, vel diametrorum,
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            quæ ſolida, veleruntſphæra, & </s>
            <s xml:id="echoid-s6623" xml:space="preserve">ſphæroides, vel ambo ſphæroides
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            circa eundem axim, vel diametrum, vel ſolida ſimilaria genita ex
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            dictis circulo, & </s>
            <s xml:id="echoid-s6624" xml:space="preserve">ellipſi, vel duabus ellipſibus iuxta dictas regulas,
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            quæ quoque erunt interſe, vt quadrata ſecundorum axium, vel dia-
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            metrorum.</s>
            <s xml:id="echoid-s6625" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div638" type="section" level="1" n="371">
          <head xml:id="echoid-head388" xml:space="preserve">SECTIO II.</head>
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            <s xml:id="echoid-s6626" xml:space="preserve">QVod ſi in dictis figuris circulo, & </s>
            <s xml:id="echoid-s6627" xml:space="preserve">ellipſi, vel ellipſibus ſumatur
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            pro regula communis axis, vel diameter, erunt omnia qua-
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            drata eorundem inter ſe, vt ſecundi axes, vel diametri inter
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            ſe, & </s>
            <s xml:id="echoid-s6628" xml:space="preserve">ſic etiam erunt ſolida ſimilaria ex eiſdem genita iuxta dictam
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            regulam, in quibus includitur ſphæra, & </s>
            <s xml:id="echoid-s6629" xml:space="preserve">iphæroides.</s>
            <s xml:id="echoid-s6630" xml:space="preserve"/>
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