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

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              <pb o="101" file="0149" n="161" rhead="HOROLOG. OSCILLATOR."/>
            Geometriam, eodem anno editam, adjecta eſt. </s>
            <s xml:id="echoid-s2255" xml:space="preserve">Et ille qui-
              <lb/>
              <note position="right" xlink:label="note-0149-01" xlink:href="note-0149-01a" 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>
            dem omnium primus curvam lineam, ex earum numero qua-
              <lb/>
            rum puncta quælibet geometricè definiuntur, ad hanc men-
              <lb/>
            ſuram reduxit, cum ſub idem tempus Cycloidis longitudi-
              <lb/>
            nem dediſſet Wrennius, non minus ingenioſo epicheremate.</s>
            <s xml:id="echoid-s2256" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2257" xml:space="preserve">Scio equidem, ab edito Heuratii invento, Doctiſſimum
              <lb/>
            Walliſium Wilhelmo Nelio, nobili apud ſuos juveni, idem
              <lb/>
            attribuere voluiſſe, in libro de Ciſſoide. </s>
            <s xml:id="echoid-s2258" xml:space="preserve">Sed mihi, quæ il-
              <lb/>
            lic adfert perpendenti, videtur non multum quidem ab in-
              <lb/>
            vento illo Nelium abfuiſſe, neque tamen plane id adſecutum
              <lb/>
            eſſe. </s>
            <s xml:id="echoid-s2259" xml:space="preserve">Nam neque ex demonſtratione ejus, quam Walliſius
              <lb/>
            affert, apparet illum ſatis perſpexiſſe quænam foret curva
              <lb/>
            illa, cujus, ſi conſtrueretur, menſuram datam fore videbat.
              <lb/>
            </s>
            <s xml:id="echoid-s2260" xml:space="preserve">Et credibile eſt, ſi ſciviſſet ex earum numero eſſe quæ jam-
              <lb/>
            pridem Geometris cognitæ fuerant, vel ipſum, vel alios ejus
              <lb/>
            nomine, tam nobile inventum Geometris maturius imperti-
              <lb/>
            turos fuiſſe, quod, ſi quod aliud, merebatur ut Archime-
              <lb/>
            deum illud εὕρη{κα} exclamarent. </s>
            <s xml:id="echoid-s2261" xml:space="preserve">Sane ejusdem inventi, tan-
              <lb/>
            quam à ſe profecti, etiam Fermatius, Tholoſanus ſenator
              <lb/>
            ac Geometra peritiſſimus, demonſtrationes conſcripſit, quæ
              <lb/>
            anno 1660 excuſæ ſunt; </s>
            <s xml:id="echoid-s2262" xml:space="preserve">ſed illæ ſero utique.</s>
            <s xml:id="echoid-s2263" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2264" xml:space="preserve">Cum vero in his ſimus, etiam de nobis dicere liceat, quid
              <lb/>
            ad promovendum tam eximium inventum contulerimus: </s>
            <s xml:id="echoid-s2265" xml:space="preserve">ſi-
              <lb/>
            quidem & </s>
            <s xml:id="echoid-s2266" xml:space="preserve">Heuratio ut eo perveniret occaſionem præbuimus, & </s>
            <s xml:id="echoid-s2267" xml:space="preserve">
              <lb/>
            dimenſionem curvæ parabolicæ ex hyperbolæ data quadratura,
              <lb/>
            quæ Heuratiani inventi pars eſt, ante ipſum atque omnium
              <lb/>
            primi reperimus. </s>
            <s xml:id="echoid-s2268" xml:space="preserve">Etenim ſub finem anni 1657 in hæc duo ſi-
              <lb/>
            mul incidimus, curvæ parabolicæ quam dixi dimenſionem,
              <lb/>
            & </s>
            <s xml:id="echoid-s2269" xml:space="preserve">ſuperficiei conoidis parabolici in circulum reductionem.
              <lb/>
            </s>
            <s xml:id="echoid-s2270" xml:space="preserve">Cumque Schotenio, aliisque item amicorum, per literas indi-
              <lb/>
            caſſemus, duo quædam non vulgaria circa parabolam inven-
              <lb/>
            ta nobis ſeſe obtuliſſe, eorumque alterum eſſe conoidicæ ſu-
              <lb/>
            perficiei extenſionem in circulum, ille literas eas cum Heu-
              <lb/>
            ratio, quo tum familiariter utebatur, communicavit. </s>
            <s xml:id="echoid-s2271" xml:space="preserve">Huic
              <lb/>
            vero, acutiſſimi ingenii viro, non difficile fuit intelligere,
              <lb/>
            conoidis iſtius ſuperficiei affinem eſſe dimenſionem ipſius </s>
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