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

Table of contents

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[641.] EXPERIMENTUM CCXXVI.
[642.] EXPERIMENTUM CCXXVII.
[643.] EXPERIMENTUM CCXXVIII.
[644.] EXPERIMENTUM CCXXIX.
[645.] EXPERIMENTUM CCXXX.
[646.] EXPERIMENTUM CCXXXI.
[647.] EXPERIMENTUM CCXXXII.
[648.] EXPERIMENTUM CCXXXIII.
[649.] EXPERIMENTUM CCXXXIV.
[650.] EXPERIMENTUM CCXXXV.
[651.] EXPERIMENTUM CCXXXVI.
[652.] EXPERIMENTUM CCXXXVII.
[653.] EXPERIMENTUM CCXXXVIII.
[654.] EXPERIMENTUM CCXXXIX.
[655.] EXPERIMENTUM CCXL.
[656.] EXPERIMENTUM CCXLI.
[657.] EXPERIMENTUM CCXLII.
[658.] EXPERIMENTUM CCXLIII.
[659.] PROPOSITIO CXVIII.
[660.] PROPOSITIO CXIX.
[661.] Regula prima.
[662.] Regula Secunda.
[663.] Regula Tertia.
[664.] TABULA
[665.] CAPUT DECIMUM. Tentamen de corporum Duritie.
[666.] EPHEMERIDES METEOROLOGICÆ ULTRAJECTINÆ ANNI MDCCXXVIII.
[667.] FINIS.
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            <s xml:id="echoid-s16494" xml:space="preserve">
              <pb o="652" file="0668" n="669" rhead="INTRODUCTIO AD COHÆRENTIAM"/>
            mus, non enim omne ferrum album eſt æque craſſum, quo id eſt
              <lb/>
            craſſius, eo eſt fortius: </s>
            <s xml:id="echoid-s16495" xml:space="preserve">in charta major adhuc obtinet varietas,
              <lb/>
            pro craſſitie non tantum, ſed majori minorive glutinis admixti co-
              <lb/>
            pia, quamobrem, qui hoc Thema perpolire vellet, majori cum
              <lb/>
            cura attendere ad omnia deberet.</s>
            <s xml:id="echoid-s16496" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div636" type="section" level="1" n="636">
          <head xml:id="echoid-head756" xml:space="preserve">CAPUT NONUM.</head>
          <head xml:id="echoid-head757" xml:space="preserve">De Cohærentia corporum compreſſorum.</head>
          <p>
            <s xml:id="echoid-s16497" xml:space="preserve">Summæ utilitatis eſt cognoviſſe quantæ firmitatis ſint corpora
              <lb/>
            oblonga, quæ horizonti perpendiculariter impoſita, ponderi-
              <lb/>
            bus ſuſtinendis deſtinantur; </s>
            <s xml:id="echoid-s16498" xml:space="preserve">trabibus enim ſecundum longitudinem
              <lb/>
            erectis graviſſimas ſuperſtruimus domos, moles ponderoſiſſimas im-
              <lb/>
            ponimus; </s>
            <s xml:id="echoid-s16499" xml:space="preserve">imo illis fulcimus altos parietes, amplas ædes, excel-
              <lb/>
            ſiſſimas turres, maximas naves bellicas.</s>
            <s xml:id="echoid-s16500" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16501" xml:space="preserve">Trabs cujuslibet craſſitiei moli utcunque gravi ſuſtinendæ par non
              <lb/>
            eſt; </s>
            <s xml:id="echoid-s16502" xml:space="preserve">a nimiâ enim ſibi incumbente flectitur, incurvatur, tandem
              <lb/>
            frangitur; </s>
            <s xml:id="echoid-s16503" xml:space="preserve">neceſſarium igitur eſt, ut exploremus & </s>
            <s xml:id="echoid-s16504" xml:space="preserve">demonſtremus,
              <lb/>
            quænam ſit datæ Trabis firmitas, & </s>
            <s xml:id="echoid-s16505" xml:space="preserve">quodnam pondus ſibi impo-
              <lb/>
            ſitum ferre poſſit, quodnam recuſet.</s>
            <s xml:id="echoid-s16506" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16507" xml:space="preserve">Poſtulare autem poſſum tanquam demonſtratum, corpuſcula ul-
              <lb/>
            tima, ſubtiliſſima, perfecte ſolida, non amplius diffringi a viribus
              <lb/>
            comprimentibus, quas Ars vel Natura adhiberet.</s>
            <s xml:id="echoid-s16508" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s16509" xml:space="preserve">Si fuerint corpuſcula ultima Cubi, Parallelopipeda rectangula,
              <lb/>
            aut Hexangula ordinata, quæ maſſam majorem compoſitura ordina-
              <lb/>
            tim ſint ſibi impoſita, ut nullum relinquant porum, & </s>
            <s xml:id="echoid-s16510" xml:space="preserve">forment
              <lb/>
            corpus oblongum, rectum, poterit hæc maſſa ſuſtinere onus quod-
              <lb/>
            cunque, premens ſecundum axin maſſæ, abſque ulla ſolutione
              <lb/>
            ejuſve metu.</s>
            <s xml:id="echoid-s16511" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16512" xml:space="preserve">Concipiatur enim maſſa conſtare ex tribus cubis ita accumulatis,
              <lb/>
            ut parallelopipedum conſtituant, cui incumbat onus premens per-
              <lb/>
            pendiculariter latus, quod attingit; </s>
            <s xml:id="echoid-s16513" xml:space="preserve">tum infimus cubus ab inter-
              <lb/>
            medio preſſus, nequicquam cedit, quia eſt perfecte durus; </s>
            <s xml:id="echoid-s16514" xml:space="preserve">inter-
              <lb/>
            medius preſſus a ſupremo ob eandem rationem non cedit; </s>
            <s xml:id="echoid-s16515" xml:space="preserve">uti nec
              <lb/>
            ſupremus cedit oneri prementi; </s>
            <s xml:id="echoid-s16516" xml:space="preserve">& </s>
            <s xml:id="echoid-s16517" xml:space="preserve">quia directio oneris eſt </s>
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