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

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          <pb o="177" file="0253" n="279" rhead="HOROLOG. OSCILLATOR."/>
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        <div xml:id="echoid-div368" type="section" level="1" n="130">
          <head xml:id="echoid-head156" xml:space="preserve">PROPOSITIO XXIV.</head>
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            <emph style="sc">De centro</emph>
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            <emph style="sc">OSCILLA-</emph>
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            <emph style="sc">TIONIS.</emph>
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          <p style="it">
            <s xml:id="echoid-s4009" xml:space="preserve">CEntri oſcillationis rationem haberi non poſſe,
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            in pendulis inter Cycloides ſuſpenſis; </s>
            <s xml:id="echoid-s4010" xml:space="preserve">& </s>
            <s xml:id="echoid-s4011" xml:space="preserve">quomo-
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            do hinc orta difficultas tollatur.</s>
            <s xml:id="echoid-s4012" xml:space="preserve"/>
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            <s xml:id="echoid-s4013" xml:space="preserve">Si quis, ſubtili examine, contulerit ea quæ in ſuperiori-
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            bus, de pendulo inter cycloides ſuſpenſo, demonſtravimus,
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            cum his quæ ad centrum oſcillationis pertinent; </s>
            <s xml:id="echoid-s4014" xml:space="preserve">videbitur ei
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            deeſſe aliquid ad perfectam illam, quam præferimus, oſcil-
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            lationum æqualitatem. </s>
            <s xml:id="echoid-s4015" xml:space="preserve">Ac primo dubitabit, an, ad inveni-
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            endum circulum cycloidis genitorem, pendulilongitudo ac-
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            cipienda ſit à puncto ſuſpenſionis ad centrum gravitatis ap-
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            penſi plumbi, an vero ad centrum oſcillationis; </s>
            <s xml:id="echoid-s4016" xml:space="preserve">quod, abal-
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            tero illo, ſæpe ſenſibili intervallo diſtat, atque eo majore,
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            quo major fuerit ſphæra aut lens plumbea. </s>
            <s xml:id="echoid-s4017" xml:space="preserve">Quid enim, ſi
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            ſphæræ diameter quartam, aut tertiam partem, pendulilon-
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            gitudinis æquet? </s>
            <s xml:id="echoid-s4018" xml:space="preserve">Quod ſi ad centrum oſcillationis illam lon-
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            gitudinem accipiendam dicamus, non tamen expediet quo
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            pacto ea, quæ de centro oſcillationis oſtenſa ſunt, conve-
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            niant pendulo continue longitudinem ſuam immutanti, qua-
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            le illud quod inter cycloides movetur. </s>
            <s xml:id="echoid-s4019" xml:space="preserve">Poſſet enim videri, et-
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            iam centrum oſcillationis mutari, ad ſingulas diverſas longi-
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            tudines; </s>
            <s xml:id="echoid-s4020" xml:space="preserve">quod tamen hoc modo intelligendum non eſt. </s>
            <s xml:id="echoid-s4021" xml:space="preserve">Res
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            ſane explicatu difficillima, ſi omnimodam ἀκ{ρί}βει{αν} ſecte-
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            mur. </s>
            <s xml:id="echoid-s4022" xml:space="preserve">Nam in demonſtratione temporum æqualium in cycloi-
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            de, mobile, per eam delatum, veluti punctum gravitate præ-
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            ditum conſideravimus. </s>
            <s xml:id="echoid-s4023" xml:space="preserve">Sed, ſi ad effectum ſpectemus, non
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            magni facienda eſt difficultas hæc; </s>
            <s xml:id="echoid-s4024" xml:space="preserve">cum ponderis, quo pen-
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            dulum conſtat, magnitudo in horologiis tanta non requiratur
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            (etſi quo majus eo melius) ut differentia centrorum gravita-
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            tis, & </s>
            <s xml:id="echoid-s4025" xml:space="preserve">oſcillationis, aliquid hic turbare poſſit. </s>
            <s xml:id="echoid-s4026" xml:space="preserve">Quod ſi ta-
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            men effugere prorſus has tricas velimus, id ita conſequemur,
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            ſi ſphæram lentemve penduli, circa axem ſuum horizontalem,
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            mobilem efficiamus: </s>
            <s xml:id="echoid-s4027" xml:space="preserve">axis extrema utrinque, virgæ penduli
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            imæ, inſerendo: </s>
            <s xml:id="echoid-s4028" xml:space="preserve">quæ idcirco ut bifida hac parte ſit </s>
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