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

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              <pb o="61" file="0093" n="97" rhead="HOROLOG. OSCILLATOR."/>
            in fine totius temporis acquiſita H L; </s>
            <s xml:id="echoid-s1298" xml:space="preserve">erit ea, quæ in fine
              <lb/>
              <note position="right" xlink:label="note-0093-01" xlink:href="note-0093-01a" xml:space="preserve">
                <emph style="sc">De de-</emph>
                <lb/>
                <emph style="sc">SCEN U</emph>
                <lb/>
                <emph style="sc">GRAVIUM</emph>
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            primæ partis temporis A C acquiretur, C K; </s>
            <s xml:id="echoid-s1299" xml:space="preserve">quia ut A H
              <lb/>
            ad A C, ita H L ad C K. </s>
            <s xml:id="echoid-s1300" xml:space="preserve">Similiter quæ in fine partis tem-
              <lb/>
            poris ſecundæ C E acquiritur, erit E O, atque ita dein-
              <lb/>
            ceps. </s>
            <s xml:id="echoid-s1301" xml:space="preserve">Patet autem, tempore primo A C, ſpatium aliquod à
              <lb/>
            mobili transmiſſum eſſe, quod majus ſit nihilo; </s>
            <s xml:id="echoid-s1302" xml:space="preserve">tempore ve-
              <lb/>
            ro ſecundo C E transmiſſum eſſe ſpatium quod majus ſit
              <lb/>
            quam K E, quia ſpatium K E transmiſſum fuiſſet tempore
              <lb/>
            C E, motu æquabili, cum celeritate C K. </s>
            <s xml:id="echoid-s1303" xml:space="preserve">habent enim ſpa-
              <lb/>
            tia, motu æquabili transacta, rationem compoſitam ex ra-
              <lb/>
            tione temporum, & </s>
            <s xml:id="echoid-s1304" xml:space="preserve">ratione velocitatum, ideoque cum tem-
              <lb/>
            pore A H, celeritate æquabili H L percurri poſuerimus ſpa-
              <lb/>
            tium M H, ſequitur tempore C E, cum celeritate C K,
              <lb/>
            percurri ſpatium K E, quum ratio rectanguli M H ad re-
              <lb/>
            ctangulum K E componatur ex rationibus A H ad C E, & </s>
            <s xml:id="echoid-s1305" xml:space="preserve">
              <lb/>
            H L ad C K.</s>
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            <s xml:id="echoid-s1307" xml:space="preserve">Quum ergo, ut dixi, ſpatium K E ſit illud quod trans-
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            mitteretur tempore C E, cum celeritate æquabili C K, mo-
              <lb/>
            bile autem feratur tempore C E motu accelerato, qui jam
              <lb/>
            principio hujus temporis habet celeritatem C K; </s>
            <s xml:id="echoid-s1308" xml:space="preserve">manifeſtum
              <lb/>
            eſt iſto accelerato motu, tempore C E, majus ſpatium quam
              <lb/>
            K E confecturum. </s>
            <s xml:id="echoid-s1309" xml:space="preserve">Eadem ratione, tempore tertio E G, ma-
              <lb/>
            jus ſpatium conficiet quam O G, quia nempe hoc confectu-
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            rum eſſet tempore eodem E G, cum celeritate æquabili E O.
              <lb/>
            </s>
            <s xml:id="echoid-s1310" xml:space="preserve">Atque ita deinceps, ſingulis temporis A H partibus, à mo-
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            bili majora ſpatia quam ſunt rectangula figuræ inſcriptæ,
              <lb/>
            ipſis partibus adjacentia, peragentur. </s>
            <s xml:id="echoid-s1311" xml:space="preserve">Quare totum ſpatium
              <lb/>
            motu accelerato peractum majus erit ipſa figura inſcripta. </s>
            <s xml:id="echoid-s1312" xml:space="preserve">
              <lb/>
            Spatium vero illud æquale poſitum fuit plano P. </s>
            <s xml:id="echoid-s1313" xml:space="preserve">Itaque fi-
              <lb/>
            gura inſcripta minor erit ſpatio P. </s>
            <s xml:id="echoid-s1314" xml:space="preserve">quod eſt abſurdum; </s>
            <s xml:id="echoid-s1315" xml:space="preserve">eo-
              <lb/>
            dem enim ſpatio major oſtenſa fuit. </s>
            <s xml:id="echoid-s1316" xml:space="preserve">Non eſt igitur planum
              <lb/>
            P minus triangulo A H L. </s>
            <s xml:id="echoid-s1317" xml:space="preserve">At neque majus eſſe oſtendetur.</s>
            <s xml:id="echoid-s1318" xml:space="preserve"/>
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            <s xml:id="echoid-s1319" xml:space="preserve">Sit enim, ſi poteſt; </s>
            <s xml:id="echoid-s1320" xml:space="preserve">& </s>
            <s xml:id="echoid-s1321" xml:space="preserve">dividatur A H in partes æquales,
              <lb/>
            atque ad earum altitudinem, inſcripta circumſcriptaque rur-
              <lb/>
            ſus, ut ante, ſit triangulo A H L figura ex rectangulis, ita
              <lb/>
            ut altera alteram excedat minori exceſſu quam quo </s>
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