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

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        <div xml:id="echoid-div34" type="section" level="1" n="31">
          <pb o="6" file="0026" n="26" rhead="GEOMETRIÆ"/>
        </div>
        <div xml:id="echoid-div35" type="section" level="1" n="32">
          <head xml:id="echoid-head42" xml:space="preserve">IX.</head>
          <p>
            <s xml:id="echoid-s341" xml:space="preserve">SImiles portiones ſpherarum, vel ſpęroidum, & </s>
            <s xml:id="echoid-s342" xml:space="preserve">ſimiles
              <lb/>
            Conoides, ſiue Conoidum portiones appellabimus,
              <lb/>
            quando per axes ductis planis ad rectos angulos baſibus
              <lb/>
            conceptę in eiſdem ſolidis figurę ſimiles erunt (iuxta de-
              <lb/>
            finit. </s>
            <s xml:id="echoid-s343" xml:space="preserve">10. </s>
            <s xml:id="echoid-s344" xml:space="preserve">ſubſequentem, vel etiam iuxta aliorum definitio-
              <lb/>
            nes de ſimilibus figuris planis allatas, ſubintellige) qua-
              <lb/>
            rum, & </s>
            <s xml:id="echoid-s345" xml:space="preserve">baſium communes ſectiones ſint homologe baſium
              <lb/>
            diametri, quę vel circuliſint, vel ſimiles ellipſes.</s>
            <s xml:id="echoid-s346" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div36" type="section" level="1" n="33">
          <head xml:id="echoid-head43" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s347" xml:space="preserve">_C_Aetræ d finitiones ab Euclide ſimilium planarum figurarum,
              <lb/>
            & </s>
            <s xml:id="echoid-s348" xml:space="preserve">ſolidarum, & </s>
            <s xml:id="echoid-s349" xml:space="preserve">ſimilium Cylindrorum, & </s>
            <s xml:id="echoid-s350" xml:space="preserve">Conorum, & </s>
            <s xml:id="echoid-s351" xml:space="preserve">quæ
              <lb/>
            ab Apollonio lib.</s>
            <s xml:id="echoid-s352" xml:space="preserve">6. </s>
            <s xml:id="echoid-s353" xml:space="preserve">Conicorum, referente Eutocio, fiunt ſimilium ſe-
              <lb/>
            ctionum Coniportionum, ſumantur, vt abipſis afferuntur, adtuncto
              <lb/>
            tamen definitioni ſimilium ſectionum Coni portionum ibidem ab Apol-
              <lb/>
            lonio allatæ, ſi pro ſpatijs vſurpetur quam infr a dicetur.</s>
            <s xml:id="echoid-s354" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div37" type="section" level="1" n="34">
          <head xml:id="echoid-head44" xml:space="preserve">A. X.</head>
          <note position="left" xml:space="preserve">A</note>
          <p>
            <s xml:id="echoid-s355" xml:space="preserve">SImiles figurę planę in vniuerſum vocentur, in quarum
              <lb/>
            ſingulis oppoſitę tangentes ita duci poſlunt, & </s>
            <s xml:id="echoid-s356" xml:space="preserve">in eaſ-
              <lb/>
            dem tangentes ita incidere ad eundem angulum, ex eadem
              <lb/>
            parte rectę lineæ in illis terminatę, vt, ſi intra dictas op-
              <lb/>
            poſitas tangentes eiſdem æquidiſtantes vtcumq; </s>
            <s xml:id="echoid-s357" xml:space="preserve">ductę fue
              <lb/>
            rint rectę lineæ, eas, quę incidunt dictis tangentibus, ſimi-
              <lb/>
            liter ad eandem partem ſecantes; </s>
            <s xml:id="echoid-s358" xml:space="preserve">reperiamus harum paral-
              <lb/>
            lelarum, nec non & </s>
            <s xml:id="echoid-s359" xml:space="preserve">oppoſitarum tangentium eas portiones,
              <lb/>
            quę inter dictas incidentes, & </s>
            <s xml:id="echoid-s360" xml:space="preserve">circuitus figurarum ad ean-
              <lb/>
            dem partem ſitę funt, eodem ordine ſumptas, eandem inter
              <lb/>
            ſe rationem habere, quam rectæ lineæ, quę dictis tangenti-
              <lb/>
            bus inciderunt, & </s>
            <s xml:id="echoid-s361" xml:space="preserve">in eaſdem terminantur.</s>
            <s xml:id="echoid-s362" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div38" type="section" level="1" n="35">
          <head xml:id="echoid-head45" xml:space="preserve">B.</head>
          <note position="left" xml:space="preserve">B</note>
          <p>
            <s xml:id="echoid-s363" xml:space="preserve">IPſę autem quę dictis tangentibus incidunt, & </s>
            <s xml:id="echoid-s364" xml:space="preserve">in easter-
              <lb/>
            minantur, dicentur; </s>
            <s xml:id="echoid-s365" xml:space="preserve">Incidentes dictarum tangentium
              <lb/>
            oppoſitarum, & </s>
            <s xml:id="echoid-s366" xml:space="preserve">figurarum.</s>
            <s xml:id="echoid-s367" xml:space="preserve"/>
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