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

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            <s xml:id="echoid-s752" xml:space="preserve">
              <pb o="30" file="0056" n="57" rhead="CHRISTIANI HUGENII"/>
            ſtituta erat. </s>
            <s xml:id="echoid-s753" xml:space="preserve">Menſura enim temporis certa atque æqualis,
              <lb/>
            pendulo ſimplici naturâ non inerat, cum latiores excurſus
              <lb/>
            anguſtioribus tardiores obſerventur; </s>
            <s xml:id="echoid-s754" xml:space="preserve">ſed geometria duce di-
              <lb/>
            verſam ab ea, ignotamque antea penduli ſuſpenſionem re-
              <lb/>
            perimus, animadverſâ lineæ cujusdam curvaturâ, quæ ad
              <lb/>
            optatam æqualitatem illi conciliandam mirabili planè ratione
              <lb/>
            comparata eſt. </s>
            <s xml:id="echoid-s755" xml:space="preserve">Quam poſtquam horologiis adhibuimus,
              <lb/>
            tam conſtans certusque eorum motus evaſit, ut poſt crebra
              <lb/>
            experimenta terra marique capta, manifeſtum jam ſit & </s>
            <s xml:id="echoid-s756" xml:space="preserve">
              <lb/>
            Aſtronomiæ ſtudiis & </s>
            <s xml:id="echoid-s757" xml:space="preserve">arti Nauticæ plurimùm in iis eſſe
              <lb/>
            præſidii. </s>
            <s xml:id="echoid-s758" xml:space="preserve">Hæc ea eſt linea quam defixus in circumferentia
              <lb/>
            currentis rotæ clavus, continua circumvolutione, in aëre
              <lb/>
            deſignat; </s>
            <s xml:id="echoid-s759" xml:space="preserve">à Geometris noſtri ævi cycloidis nomine donata,
              <lb/>
            & </s>
            <s xml:id="echoid-s760" xml:space="preserve">ob alias multas ſui proprietates diligenter expenſa; </s>
            <s xml:id="echoid-s761" xml:space="preserve">à no-
              <lb/>
            bis verò propter eam quam diximus menſurandi temporis
              <lb/>
            facultatem, quam nihil tale ſuſpicantes, ac tantùm artis ve-
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            ſtigiis inſiſtentes, ineſſe ipſi comperimus. </s>
            <s xml:id="echoid-s762" xml:space="preserve">Hanc cum jam
              <lb/>
            pridem amicis horum intelligentibus notam fecerimus (nam
              <lb/>
            non multo poſt primam horologii editionem animadverſa
              <lb/>
            fuit) nunc eandem, demonſtratione quàm potuimus accu-
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            ratiſſima firmatam, omnibus legendam proponimus. </s>
            <s xml:id="echoid-s763" xml:space="preserve">Itaque
              <lb/>
            in hac tradenda demonſtratione potiſſima pars hujus libri
              <lb/>
            verſabitur. </s>
            <s xml:id="echoid-s764" xml:space="preserve">Ubi primùm neceſſe fuit novis nonnullis demon-
              <lb/>
            ſtrationibus ſtabilire & </s>
            <s xml:id="echoid-s765" xml:space="preserve">promovere ulterius viri maximi Ga-
              <lb/>
            lilei de deſcenſu gravium doctrinam, cujus fructus deſidera-
              <lb/>
            tiſſimus, atque apex veluti ſummus, hæc ipſa quam inve-
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            nimus cycloidis eſt proprietas.</s>
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            <s xml:id="echoid-s767" xml:space="preserve">Quæ porro ut ad pendulorum uſum aptari poſſet, nova cur-
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            varum linearum conſideratio adhibenda fuit, earum </s>
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