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

Table of figures

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[161] Fig. 8.R G M K N D B V C A
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[162] Fig. 7.R d D G g B h H E V C u A c
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[163] Fig. 2.B F G C H A K D E
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[164] Fig. 4.A B G F E C D
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[165] Fig. 6.T G D H B E M L N C K I S P F V R Q O A
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[166] Fig. 3.A E G B D F C
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[167] Fig. 5.N K F E C B A H L V W R G
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[168] Fig. 9.Z R A X H C B D M K S Q G
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          <p>
            <s xml:id="echoid-s2271" xml:space="preserve">
              <pb o="102" file="0150" n="162" rhead="CHRISTIANI HUGENII"/>
            væ parabolicæ. </s>
            <s xml:id="echoid-s2272" xml:space="preserve">Qua utraque inventa, ulterius inde inveſti-
              <lb/>
              <note position="left" xlink:label="note-0150-01" xlink:href="note-0150-01a" 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>
            gans, in alias iſtas curvas paraboloides incidit, quibus rectæ
              <lb/>
            æquales abſolute inveniuntur.</s>
            <s xml:id="echoid-s2273" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2274" xml:space="preserve">Ac de Conoidis quidem ſuperficie in planum redacta, ne
              <lb/>
            quis forte teſtimonium deſideret, pauca hæc adſcribere vi-
              <lb/>
            ſum eſt ex literis viri clariſſimi, atque inter præcipuos ho-
              <lb/>
            die Geometras cenſendi, Franc. </s>
            <s xml:id="echoid-s2275" xml:space="preserve">Sluſii, quibus eo ipſo anno
              <lb/>
            mihi inventum illud, ac prolixius forte quam pro merito,
              <lb/>
            gratulatus eſt. </s>
            <s xml:id="echoid-s2276" xml:space="preserve">In quibus literis 24. </s>
            <s xml:id="echoid-s2277" xml:space="preserve">Decemb. </s>
            <s xml:id="echoid-s2278" xml:space="preserve">anni 1657. </s>
            <s xml:id="echoid-s2279" xml:space="preserve">da-
              <lb/>
            tis, iſta habentur. </s>
            <s xml:id="echoid-s2280" xml:space="preserve">Duo tantum addo, unum &</s>
            <s xml:id="echoid-s2281" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2282" xml:space="preserve">Alterum
              <lb/>
            eſt, me has omnes curvas, ipſumque adeo locum linearem in-
              <lb/>
            tegrum, nihili pene facere præ invento hoc tuo, quo ſuperfi-
              <lb/>
            ciei in conoide parabolico rationem ad circulum ſuæ baſeos de-
              <lb/>
            monſtraſti. </s>
            <s xml:id="echoid-s2283" xml:space="preserve">Hanc pro circuli quadratura pulcherrimam ἀ{πα}-
              <lb/>
            {γ@}{γὴ}ν præfero libens iis omnibus, quas ex loco lineari nec pau-
              <lb/>
            cas olim deduxi, & </s>
            <s xml:id="echoid-s2284" xml:space="preserve">quas tecum, ſi ita juſſeris, data occa-
              <lb/>
            ſione communicabo.</s>
            <s xml:id="echoid-s2285" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2286" xml:space="preserve">Anno autem inſequenti etiam ſuperficies conoidum hyper-
              <lb/>
            bolicorum & </s>
            <s xml:id="echoid-s2287" xml:space="preserve">ſphæroidum reperi, quomodo ad circulos re-
              <lb/>
            duci poſſent, conſtructionesque eorum problematum, non
              <lb/>
            addita tamen demonſtratione, Geometris quibuscum tunc
              <lb/>
            literarum commercium habebam, in Gallia Paſchalio aliis-
              <lb/>
            que, in Anglia Walliſio impertii, qui non multo poſt ſua
              <lb/>
            quoque ſuper his, una cum aliis multis ſubtilibus inventis
              <lb/>
            in lucem edidit, fecitque ut noſtris demonſtrationibus per-
              <lb/>
            ficiendis ſuperſederem. </s>
            <s xml:id="echoid-s2288" xml:space="preserve">Quoniam vero non inelegantes viſæ
              <lb/>
            ſunt conſtructiones noſtræ, neque adhuc publice extant,
              <lb/>
            placet hoc loco illas adſcribere.</s>
            <s xml:id="echoid-s2289" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div179" type="section" level="1" n="65">
          <head xml:id="echoid-head89" style="it" xml:space="preserve">Conoidis parabolici ſuperficiei curvæ circulum
            <lb/>
          æqualem invenire.</head>
          <p>
            <s xml:id="echoid-s2290" xml:space="preserve">SIt datum conoides cujus ſectio per axem parabola A B C;
              <lb/>
            </s>
            <s xml:id="echoid-s2291" xml:space="preserve">
              <note position="left" xlink:label="note-0150-02" xlink:href="note-0150-02a" xml:space="preserve">TAB. XIII.
                <lb/>
              Fig. @.</note>
            axis ejus B D, vertex B, diameter baſis A C, quæ ſit axi
              <lb/>
            B D ad angulos rectos. </s>
            <s xml:id="echoid-s2292" xml:space="preserve">Et oporteat ſuperficiei portionis cur-
              <lb/>
            væ invenire circulum æqualem.</s>
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