Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

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        <div xml:id="echoid-div179" type="section" level="1" n="65">
          <pb o="103" file="0151" n="163" rhead="HOROLOG. OSCILLATOR."/>
          <p>
            <s xml:id="echoid-s2294" xml:space="preserve">Producto axe à parte verticis, ſumatur B E æqualis B D,
              <lb/>
              <note position="right" xlink:label="note-0151-01" xlink:href="note-0151-01a" xml:space="preserve">
                <emph style="sc">De linea</emph>
                <lb/>
                <emph style="sc">RUM CUR-</emph>
                <lb/>
                <emph style="sc">VARUM</emph>
                <lb/>
                <emph style="sc">EVOLUTIO-</emph>
                <lb/>
                <emph style="sc">NE</emph>
              .</note>
            & </s>
            <s xml:id="echoid-s2295" xml:space="preserve">jungatur E A, quæ parabolam A B C in A continget.
              <lb/>
            </s>
            <s xml:id="echoid-s2296" xml:space="preserve">Porro ſecetur A D in G, ut ſit A G ad G D ſicut E A ad
              <lb/>
            A D. </s>
            <s xml:id="echoid-s2297" xml:space="preserve">Et utrisque ſimul A E, D G æqualis ſtatuatur recta
              <lb/>
            H. </s>
            <s xml:id="echoid-s2298" xml:space="preserve">Item trienti baſis A C æqualis ſit recta L, & </s>
            <s xml:id="echoid-s2299" xml:space="preserve">inter H
              <lb/>
            & </s>
            <s xml:id="echoid-s2300" xml:space="preserve">L media proportionalis inveniatur K. </s>
            <s xml:id="echoid-s2301" xml:space="preserve">qua tanquam radio
              <lb/>
            circulus deſcribatur. </s>
            <s xml:id="echoid-s2302" xml:space="preserve">Is æqualis erit ſuperficiei curvæ conoi-
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            dis A B C. </s>
            <s xml:id="echoid-s2303" xml:space="preserve">Hinc ſequitur, ſi fuerit A E dupla A D, ſu-
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            perficiem conoidis curvam ad circulum baſeos fore ut 14 ad
              <lb/>
            9. </s>
            <s xml:id="echoid-s2304" xml:space="preserve">Si A E tripla A D, ut 13 ad 6. </s>
            <s xml:id="echoid-s2305" xml:space="preserve">ſi A E quadrupla A D,
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            ut 14 ad 5. </s>
            <s xml:id="echoid-s2306" xml:space="preserve">Atque ita ſemper fore ut numerus ad numerum,
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            ſi A E ad A D ejusmodi rationem habuerit.</s>
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          </p>
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        <div xml:id="echoid-div182" type="section" level="1" n="66">
          <head xml:id="echoid-head90" style="it" xml:space="preserve">Sphæroidis oblongi ſuperſiciei circulum æqualem
            <lb/>
          invenire.</head>
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            <s xml:id="echoid-s2308" xml:space="preserve">ESto ſphæroides oblongum cujus axis A B, centrum C,
              <lb/>
              <note position="right" xlink:label="note-0151-02" xlink:href="note-0151-02a" xml:space="preserve">
                <emph style="sc">TAB. XIII.</emph>
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              Fig. 4.</note>
            ſectio per axem ellipſis A D B E, cujus minor diame-
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            ter D E.</s>
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          <p>
            <s xml:id="echoid-s2310" xml:space="preserve">Ponatur D F æqualis C B, ſeu ponatur F alter focorum
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            ellipſeos A D B E, rectæque F D parallela ducatur B G,
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            occurrens productæ E D in G. </s>
            <s xml:id="echoid-s2311" xml:space="preserve">centroque G, radio G B,
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            deſcribatur ſuper axe A B arcus circumferentiæ B H A. </s>
            <s xml:id="echoid-s2312" xml:space="preserve">In-
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            terque ſemidiametrum C D & </s>
            <s xml:id="echoid-s2313" xml:space="preserve">rectam utrisque æqualem, ar-
              <lb/>
            cui A H B & </s>
            <s xml:id="echoid-s2314" xml:space="preserve">diametro D E, media proportionalis ſit recta
              <lb/>
            K. </s>
            <s xml:id="echoid-s2315" xml:space="preserve">Erit hæc radius circuli qui ſuperficiei ſphæroidis A D B E
              <lb/>
            æqualis ſit.</s>
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          </p>
        </div>
        <div xml:id="echoid-div184" type="section" level="1" n="67">
          <head xml:id="echoid-head91" style="it" xml:space="preserve">Sphæroidis lati ſive compreſſi ſuperficiei circulum
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          æqualem invenire.</head>
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            <s xml:id="echoid-s2317" xml:space="preserve">SIt ſphæroides latum cujus axis A B, centrum C, ſectio
              <lb/>
              <note position="right" xlink:label="note-0151-03" xlink:href="note-0151-03a" xml:space="preserve">
                <emph style="sc">TAB. XIII</emph>
              .
                <lb/>
              Fig. 5.</note>
            per axem ellipſis A D B E.</s>
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            <s xml:id="echoid-s2319" xml:space="preserve">Sit rurſus focorum alteruter F, diviſâque bifariam F C
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            in G, intelligatur parabola A G B quæ baſin habeat axem
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            A B, verticem vero punctum G. </s>
            <s xml:id="echoid-s2320" xml:space="preserve">Sitque inter dimatrum D E,
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            & </s>
            <s xml:id="echoid-s2321" xml:space="preserve">rectam curvæ parabolicæ A G B æqualem, media </s>
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