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

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              <pb o="157" file="0225" n="247" rhead="HOROLOG. OSCILLATOR."/>
            F A, dabit diſtantiam A K, qua centrum oſcillationis K in-
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              <note position="right" xlink:label="note-0225-01" xlink:href="note-0225-01a" 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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            ferius eſt centro gravitatis A.</s>
            <s xml:id="echoid-s3543" xml:space="preserve"/>
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            <s xml:id="echoid-s3544" xml:space="preserve">Si vero F A ſit axis figuræ B C D, poteſt, pro cuneo
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              <note position="right" xlink:label="note-0225-02" xlink:href="note-0225-02a" xml:space="preserve">TAB. XXIII.
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              Fig. 1.</note>
            abſciſſo per B D ſuper figura tota, adhiberi cuneus ſuper
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            figura dimidia D B M abſciſſus plano per D M. </s>
            <s xml:id="echoid-s3545" xml:space="preserve">Nam, ſi cunei
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            hujus ſubcentrica ſuper D M ſit O A, diſtantia vero centri gr.
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            </s>
            <s xml:id="echoid-s3546" xml:space="preserve">figuræ planæ D B M ab eadem D M ſit N A, æquale eſſe
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            conſtat rectangulum O A N rectangulo B A L . </s>
            <s xml:id="echoid-s3547" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0225-03" xlink:href="note-0225-03a" xml:space="preserve">Prop. 11.
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              huj.</note>
            rectangulum O A N, additum rectangulo D A H, conſti-
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            tuet quoque planum applicandum ad diſtantiam F A, ut
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            fiat diſtantia A K.</s>
            <s xml:id="echoid-s3548" xml:space="preserve"/>
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            <s xml:id="echoid-s3549" xml:space="preserve">Et horum quidem manifeſta eſt demonſtratio ex præce-
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            dentibus, quippe cum rectangula D A H, B A L, vel
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            D A H, O A N, multiplicia ſecundum numerum particu-
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            larum figuræ, æqualia ſint quadratis diſtantiarum à centro
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            gravitatis A; </s>
            <s xml:id="echoid-s3550" xml:space="preserve">ſive, quod idem hic eſt, ab axe gravitatis axi
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            oſcillationis parallelo; </s>
            <s xml:id="echoid-s3551" xml:space="preserve">ac proinde rectangula dicta, ad diſtan-
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            tiam F A applicata, efficiant longitudinem intervalli A K .</s>
            <s xml:id="echoid-s3552" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0225-04" xlink:href="note-0225-04a" xml:space="preserve">Prop. 18.
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              huj.</note>
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        <div xml:id="echoid-div314" type="section" level="1" n="112">
          <head xml:id="echoid-head138" style="it" xml:space="preserve">Centrum oſcillationis Circuli.</head>
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            <s xml:id="echoid-s3553" xml:space="preserve">Et in circulo quidem rectangula D A H, B A L, inter
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            ſe æqualia eſſe liquet, ſimulque efficere ſemiſſem quadrati à
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            ſemidiametro. </s>
            <s xml:id="echoid-s3554" xml:space="preserve">Unde, ſi fiat ut F A ad ſemidiametrum A B,
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            ita hæc ad aliam, ejus dimidium erit diſtantia A K, à cen-
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            tro gravitatis ad centrum oſcillationis. </s>
            <s xml:id="echoid-s3555" xml:space="preserve">Si igitur circulus ab
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            axe D, in circumferentia ſumpto, agitetur, erit D K æqua-
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            lis tribus quartis diametri D M.</s>
            <s xml:id="echoid-s3556" xml:space="preserve"/>
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            <s xml:id="echoid-s3557" xml:space="preserve">Ad hunc modum & </s>
            <s xml:id="echoid-s3558" xml:space="preserve">in ſequentibus figuris planis centra o-
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            ſcillationis quæſivimus, quæ ſimpliciter adſcripſiſſe ſufficiet-
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            Nempe,</s>
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        <div xml:id="echoid-div315" type="section" level="1" n="113">
          <head xml:id="echoid-head139" style="it" xml:space="preserve">Centrum oſcillationis Rectanguli.</head>
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            <s xml:id="echoid-s3559" xml:space="preserve">In rectangulo omni, ut C B, ſpatium applicandum, ſive
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              <note position="right" xlink:label="note-0225-05" xlink:href="note-0225-05a" xml:space="preserve">TAB. XXIII.
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              Fig. 3.</note>
            rectangulum oſcillationis, invenitur æquale tertiæ parti qua-
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            drati à ſemidiagonio A C. </s>
            <s xml:id="echoid-s3560" xml:space="preserve">Unde ſequitur, ſi </s>
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