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

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              <pb o="131" file="0191" n="209" rhead="HOROLOG. OSCILLATOR."/>
            rum à diſtantiis, quibus unumquodque pondus ab-
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              <note position="right" xlink:label="note-0191-01" xlink:href="note-0191-01a" xml:space="preserve">
                <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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            eſt ab axe oſcillationis, applicetur ad diſtantiam
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            centri gravitatis communis ab eodem oſcillationis
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            axe, multiplicem ſecundum ipſorum ponderum nu-
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            merum, orietur longitudo penduli ſimplicis compo-
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            ſito iſochroni.</s>
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            <s xml:id="echoid-s2976" xml:space="preserve">Sint poſita eadem quæ prius, ſed pondera omnia inter ſe
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            æqualia intelligantur, & </s>
            <s xml:id="echoid-s2977" xml:space="preserve">ſingula dicantur a. </s>
            <s xml:id="echoid-s2978" xml:space="preserve">Rurſus vero
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            nulla eorum magnitudo conſideretur, ſed pro minimis ha-
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            beantur, quantum ad extenſionem.</s>
            <s xml:id="echoid-s2979" xml:space="preserve"/>
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            <s xml:id="echoid-s2980" xml:space="preserve">Itaque penduli ſimplicis iſochroni longitudo, per propo-
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            ſitionem antecedentem, erit {a e e + a f f + a g g/a d + a d + a d}. </s>
            <s xml:id="echoid-s2981" xml:space="preserve">Vel, quia quanti-
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            tas diviſa ac dividens utraque per a dividitur, fiet nunc ea-
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            dem longitudo, {e e + f f + g g/3d}. </s>
            <s xml:id="echoid-s2982" xml:space="preserve">Quo ſignificatur ſumma quadra-
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            torum à diſtantiis ponderum ab axe oſcillationis, applicata
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            ad diſtantiam centri gravitatis omnium ab eodem oſcillatio-
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            nis axe, multiplicem ſecundum numerum ipſorum ponde-
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            rum, qui hic eſt 3. </s>
            <s xml:id="echoid-s2983" xml:space="preserve">facile enim perſpicitur numerum hunc,
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            in quem ducitur diſtantia d, reſpondere neceſſario ipſi pon-
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            derum numero. </s>
            <s xml:id="echoid-s2984" xml:space="preserve">Quare conſtat propoſitum.</s>
            <s xml:id="echoid-s2985" xml:space="preserve"/>
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            <s xml:id="echoid-s2986" xml:space="preserve">Quod ſi pondera æqualia in unam lineam rectam conjun-
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            cta ſint, atque ex termino ejus ſuperiore ſuſpenſa; </s>
            <s xml:id="echoid-s2987" xml:space="preserve">conſtat
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            diſtantiam centri gravitatis, ex omnibus compoſitæ, ab axe
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            oſcillationis, multiplicem ſecundum ponderum numerum,
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            æquari ſummæ diſtantiarum omnium ponderum ab eodem
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            oſcillationis axe ; </s>
            <s xml:id="echoid-s2988" xml:space="preserve">ac proinde, hoc caſu, habebitur
              <note symbol="*" position="right" xlink:label="note-0191-02" xlink:href="note-0191-02a" xml:space="preserve">Prop. 2.
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              huj.</note>
            longitudo penduli ſimplicis, compoſito iſochroni, ſi ſumma
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            quadratorum à diſtantiis ponderum ſingulorum ab axe oſcil-
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            lationis, dividatur per ſummam earundem omnium diſtan-
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            tiarum.</s>
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