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

Table of Notes

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            <s xml:id="echoid-s3493" xml:space="preserve">
              <pb o="155" file="0221" n="242" rhead="HOROLOG. OSCILLATOR."/>
            in plerisque figuris, quæ in Geometria conſiderari conſueve-
              <lb/>
              <note position="right" xlink:label="note-0221-01" xlink:href="note-0221-01a" xml:space="preserve">
                <emph style="sc">De centro</emph>
                <lb/>
                <emph style="sc">OSCILLA-</emph>
                <lb/>
                <emph style="sc">TIONIS</emph>
              .</note>
            runt, definire oſcillationis centra. </s>
            <s xml:id="echoid-s3494" xml:space="preserve">Atque ut de planis figu-
              <lb/>
            ris primum dicamus; </s>
            <s xml:id="echoid-s3495" xml:space="preserve">duplicem in iis oſcillationis motum
              <lb/>
            ſupra definivimus; </s>
            <s xml:id="echoid-s3496" xml:space="preserve">nempe, vel circa axem in eodem cum
              <lb/>
            figura plano jacentem, vel circa eum qui ad figuræ planum
              <lb/>
            erectus ſit. </s>
            <s xml:id="echoid-s3497" xml:space="preserve">Quorum priorem vocavimus agitationem in pla-
              <lb/>
            num, alterum agitationem in latus.</s>
            <s xml:id="echoid-s3498" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3499" xml:space="preserve">Quod ſi priore modo agitetur, nempe circa axem in eo-
              <lb/>
              <note position="right" xlink:label="note-0221-02" xlink:href="note-0221-02a" xml:space="preserve">TAB. XXII.
                <lb/>
              Fig. 4. & 5.</note>
            dem plano jacentem, ſicut figura B C D circa axem E F;
              <lb/>
            </s>
            <s xml:id="echoid-s3500" xml:space="preserve">hic, ſi cuneus ſuper figura intelligatur abſciſſus, plano quod
              <lb/>
            ita ſecet planum figuræ, ut interſectio, quæ hic eſt D D,
              <lb/>
            ſit parallela oſcillationis axi; </s>
            <s xml:id="echoid-s3501" xml:space="preserve">deturque diſtantia centri gra-
              <lb/>
            vitatis figuræ ab hac interſectione, ut hic A D; </s>
            <s xml:id="echoid-s3502" xml:space="preserve">itemque
              <lb/>
            ſubcentrica cunei dicti ſuper eadem interſectione, quæ hic
              <lb/>
            ſit D H. </s>
            <s xml:id="echoid-s3503" xml:space="preserve">Habebitur centrum oſcillationis K, figuræ B D C,
              <lb/>
            applicando rectangulum D A H ad diſtantiam F A; </s>
            <s xml:id="echoid-s3504" xml:space="preserve">quo-
              <lb/>
            niam ex applicatione hac orietur diſtantia A K, qua cen-
              <lb/>
            trum oſcillationis inferius eſt centro gravitatis. </s>
            <s xml:id="echoid-s3505" xml:space="preserve">Eſt enim re-
              <lb/>
            ctangulum D A H, multiplex ſecundum numerum particu-
              <lb/>
            larum figuræ B C D, æquale quadratis diſtantiarum ab re-
              <lb/>
            cta B A C, quæ per centrum gravitatis A parallela ducitur
              <lb/>
            axi oſcillationis E F. </s>
            <s xml:id="echoid-s3506" xml:space="preserve">Quare, applicando idem
              <note symbol="*" position="right" xlink:label="note-0221-03" xlink:href="note-0221-03a" xml:space="preserve">Prop. 10.
                <lb/>
              huj.</note>
            lum ad diſtantiam F A, orietur diſtantia A K, qua centrum
              <lb/>
            oſcillationis inferius eſt centro gravitatis A .</s>
            <s xml:id="echoid-s3507" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">Prop. 18.
            <lb/>
          huj.</note>
          <p>
            <s xml:id="echoid-s3508" xml:space="preserve">Hinc manifeſtum eſt, ſi axis oſcillationis ſit D D, fieri
              <lb/>
            centrum oſcillationis H punctum; </s>
            <s xml:id="echoid-s3509" xml:space="preserve">adeoque longitudinem
              <lb/>
            D H, penduli ſimplicis iſochroni figuræ B C D, eſſe tunc
              <lb/>
            ipſam ſubcentricam cunei, abſciſſi plano per D D, ſuper
              <lb/>
            ipſam D D. </s>
            <s xml:id="echoid-s3510" xml:space="preserve">Quod unum ab aliis ante animad verſum fuit,
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            non tamen demonſtratum.</s>
            <s xml:id="echoid-s3511" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3512" xml:space="preserve">Quomodo autem centra gravitatis cuneorum ſuper figuris
              <lb/>
            planis inveniantur, perſequi non eſt inſtituti noſtri, & </s>
            <s xml:id="echoid-s3513" xml:space="preserve">jam
              <lb/>
            in multis nota ſunt. </s>
            <s xml:id="echoid-s3514" xml:space="preserve">Velut, quod ſi figura B C D ſit circu-
              <lb/>
            lus, erit D H æqualis {5/8} diametri. </s>
            <s xml:id="echoid-s3515" xml:space="preserve">Si rectangulum, erit D H
              <lb/>
            . </s>
            <s xml:id="echoid-s3516" xml:space="preserve">= {2/3} diametri. </s>
            <s xml:id="echoid-s3517" xml:space="preserve">Unde & </s>
            <s xml:id="echoid-s3518" xml:space="preserve">ratio apparet cur virga, ſeu linea
              <lb/>
            gravitate prædita, altero capite ſuſpenſa, iſochrona ſit </s>
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