Musschenbroek, Petrus van, Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae

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          <pb o="651" file="0667" n="668" rhead="CORPORUM FIRMORUM."/>
        </div>
        <div xml:id="echoid-div635" type="section" level="1" n="635">
          <head xml:id="echoid-head755" xml:space="preserve">EXPERIMENTUM CCXXI.</head>
          <p>
            <s xml:id="echoid-s16456" xml:space="preserve">Coronæ loco meretur addi Paradoxon, quod firmitatem qua-
              <lb/>
            dratorum vitreorum, quæ feneſtris imponuntur, ſpectat: </s>
            <s xml:id="echoid-s16457" xml:space="preserve">nempe
              <lb/>
            omne quadratum vitreum, ſive magnum, ſive parvum, conſtans
              <lb/>
            ex lamellis vitreis æque craſſis, & </s>
            <s xml:id="echoid-s16458" xml:space="preserve">ejuſdem indolis, infixum un-
              <lb/>
            diquaque ſpondæ, ejuſdem eſt firmitatis.</s>
            <s xml:id="echoid-s16459" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16460" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s16461" xml:space="preserve">XXVIII. </s>
            <s xml:id="echoid-s16462" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s16463" xml:space="preserve">2 & </s>
            <s xml:id="echoid-s16464" xml:space="preserve">4. </s>
            <s xml:id="echoid-s16465" xml:space="preserve">Sint duo quadrata vitrea A B C D, & </s>
            <s xml:id="echoid-s16466" xml:space="preserve">F E.
              <lb/>
            </s>
            <s xml:id="echoid-s16467" xml:space="preserve">concipiantur diviſa in rectangula ſimilia M S, Q H. </s>
            <s xml:id="echoid-s16468" xml:space="preserve">erit ejuſmodi re-
              <lb/>
            ctangulum inſtar parallelopipedi utrimque infixi foramini, quod ſupra
              <lb/>
            conſideravimus, in medio ipſius MS, & </s>
            <s xml:id="echoid-s16469" xml:space="preserve">Q H ponatur pondus frangens,
              <lb/>
            erit ejus diſtantia a fulcro I&</s>
            <s xml:id="echoid-s16470" xml:space="preserve">Q æqualis dimidio M N & </s>
            <s xml:id="echoid-s16471" xml:space="preserve">Q H. </s>
            <s xml:id="echoid-s16472" xml:space="preserve">quare erit
              <lb/>
            momentum ponderis in utroque caſu ratione vectis, reciproce uti
              <lb/>
            diſtantia a fulcris I & </s>
            <s xml:id="echoid-s16473" xml:space="preserve">Q. </s>
            <s xml:id="echoid-s16474" xml:space="preserve">ſed eſt latitudo rectanguli M S ad eam
              <lb/>
            Q H. </s>
            <s xml:id="echoid-s16475" xml:space="preserve">ut M N ad Q H. </s>
            <s xml:id="echoid-s16476" xml:space="preserve">adeoque per Prop. </s>
            <s xml:id="echoid-s16477" xml:space="preserve">XXI. </s>
            <s xml:id="echoid-s16478" xml:space="preserve">Cap. </s>
            <s xml:id="echoid-s16479" xml:space="preserve">V. </s>
            <s xml:id="echoid-s16480" xml:space="preserve">erit ejus
              <lb/>
            Cohærentia ad eam in Q H, uti M E ad Q P. </s>
            <s xml:id="echoid-s16481" xml:space="preserve">quoniam vero ante de-
              <lb/>
            monſtrabam ratione vectis Cohærentiam eſſe ut Q H ad M N, quæ
              <lb/>
            ſunt ut Q P ad M E, erit Cohærentia ipſius M S ad eam Q H, uti
              <lb/>
            M E X Q P. </s>
            <s xml:id="echoid-s16482" xml:space="preserve">ad Q P X M E, hoc eſt erunt Cohærentiæ inter ſe æqua-
              <lb/>
            les: </s>
            <s xml:id="echoid-s16483" xml:space="preserve">eadem demonſtratio convenit omnibus aliis rectangulis in
              <lb/>
            utroque quadrato, quamobrem cum rectangula ſunt numero æqua-
              <lb/>
            lia & </s>
            <s xml:id="echoid-s16484" xml:space="preserve">ſimilia in utroque, erit etiam ſumma Cohærentiæ æqualis in
              <lb/>
            utroque quadrato, hoc eſt erit æque firmum omne quadratum. </s>
            <s xml:id="echoid-s16485" xml:space="preserve">
              <lb/>
            Convenit hæc demonſtratio cum ipſa Experientia, quemadmodum
              <lb/>
            aliquoties expertus fui cum quadratis ex vitreis lamellis vulgaribus
              <lb/>
            factis: </s>
            <s xml:id="echoid-s16486" xml:space="preserve">hæ autem ſuſtinent abſque fractura facile libras 60. </s>
            <s xml:id="echoid-s16487" xml:space="preserve">in me-
              <lb/>
            dio ſibi impoſitas; </s>
            <s xml:id="echoid-s16488" xml:space="preserve">unde patet, quod vim venti facile eludant, ſi
              <lb/>
            non fuerint nimis magnæ: </s>
            <s xml:id="echoid-s16489" xml:space="preserve">Facilius enim majores lamellæ a vento
              <lb/>
            franguntur, quam minores, quia ventus majori quantitate agit in
              <lb/>
            majorem ſuperficiem, quam in minorem, & </s>
            <s xml:id="echoid-s16490" xml:space="preserve">idcirco facilius ma-
              <lb/>
            jora vitra diffringit.</s>
            <s xml:id="echoid-s16491" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16492" xml:space="preserve">Mariottus inſtituit quoque nonnulla Experimenta circa firmita-
              <lb/>
            tem chartæ & </s>
            <s xml:id="echoid-s16493" xml:space="preserve">ferri ſtanno obducti, verum quia non memorat ho-
              <lb/>
            rum corporum craſſitiem, licet latitudinem & </s>
            <s xml:id="echoid-s16494" xml:space="preserve">longitudinem an-
              <lb/>
            notaverit, non multum lucis ex iis Experimentis fœnerari </s>
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