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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            <s xml:id="echoid-s10881" xml:space="preserve">
              <pb o="471" file="0485" n="485" rhead="CORPORUM FIRMORUM."/>
            Elementis conſtante, vera erunt in fibra magis compoſita, con-
              <lb/>
            ſtante ex aliquot fibris homogeneis juxta ſe poſitis, cum trahitur
              <lb/>
            directione ſecundum longitudinem vel a potentia, pondere appen-
              <lb/>
            ſo, aut â propria gravitate.</s>
            <s xml:id="echoid-s10882" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10883" xml:space="preserve">Sint enim duæ fibræ ſimpliciſſimæ, quæ conſtent ex elementis
              <lb/>
            homogeneis & </s>
            <s xml:id="echoid-s10884" xml:space="preserve">æqualibus: </s>
            <s xml:id="echoid-s10885" xml:space="preserve">hæ juxta ſe poſitæ conjungantur vel
              <lb/>
            componantur in unam, tum potentia vel pondus, quæ ſeparare po-
              <lb/>
            terit hanc fibram compoſitam in aliqua ſectione transverſa, eandem
              <lb/>
            ſeparabit in qualibetalia, quia Cohærentia in qualibet ſectione eſt ea-
              <lb/>
            dem: </s>
            <s xml:id="echoid-s10886" xml:space="preserve">nam velutieſt Cohærentia Elementi in una fibra, ita eſt in altera,
              <lb/>
            idque in qualibet altitudine, ergo earum ſumma in utraque fibra, hoc
              <lb/>
            eſt in compoſita, erit eadem in quacunque altitudine: </s>
            <s xml:id="echoid-s10887" xml:space="preserve">2°. </s>
            <s xml:id="echoid-s10888" xml:space="preserve">quia fibra eſt
              <lb/>
            gravis, ſolvetur ab appenſo pondere in parte ſuperiori, cum illi appli-
              <lb/>
            catur vis maxima, nempe ponderis appenſi, & </s>
            <s xml:id="echoid-s10889" xml:space="preserve">propria omnium par
              <lb/>
            tium ab imo ad ſummum gravitas: </s>
            <s xml:id="echoid-s10890" xml:space="preserve">3°. </s>
            <s xml:id="echoid-s10891" xml:space="preserve">erit fibra æque cohærens ſi-
              <lb/>
            ve longa ſive brevis fuerit; </s>
            <s xml:id="echoid-s10892" xml:space="preserve">nam in ſectione transverſa qualibet
              <lb/>
            eandem Cohærentiam habet, ſive longa vel brevis fuerit, cum in
              <lb/>
            qualibet fibra ſimpliciſſima eadem Cohærentia demonſtrata ſit: </s>
            <s xml:id="echoid-s10893" xml:space="preserve">quæ
              <lb/>
            omnia fuerunt in præcedentibus Propoſitionibus probata obtinere
              <lb/>
            in fibra ſimpliciſſima.</s>
            <s xml:id="echoid-s10894" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10895" xml:space="preserve">Scholium. </s>
            <s xml:id="echoid-s10896" xml:space="preserve">Poſſunt corpora conſiderari tanquam compoſita ex-
              <lb/>
            fibris; </s>
            <s xml:id="echoid-s10897" xml:space="preserve">nam omnis funis conſtat ex filis, quodlibet filum ex fila-
              <lb/>
            mentis ſubtilioribus, uti docent Microſcopia: </s>
            <s xml:id="echoid-s10898" xml:space="preserve">omne lignum ſepara-
              <lb/>
            tur fiſſione in fibras oblongas, quæ inſpectæ Microſcopio componun-
              <lb/>
            tur ex fibrillis ſubtilioribus, cavis, harum parietes ex fibrillis ſo-
              <lb/>
            lidis ſubtiliſſimis: </s>
            <s xml:id="echoid-s10899" xml:space="preserve">eo modo omnia metalla, lapides, chordæ ex
              <lb/>
            inteſtinis animalium, aliaque corpora ſe habent: </s>
            <s xml:id="echoid-s10900" xml:space="preserve">quid eſt enim
              <lb/>
            cylindrus metalli ſolidus, cujus baſis unum pollicem adæquat,
              <lb/>
            præter quam congeries filamentorum metallicorum tenuium ſibi
              <lb/>
            conjunctorum, quæ eam craſſitiem formant; </s>
            <s xml:id="echoid-s10901" xml:space="preserve">quamobrem omnia
              <lb/>
            corpora conſiderari poſſunt uti congeries fibrarum, hinc omnia
              <lb/>
            demonſtrata hactenus de fibra ſimpliciſſima convenient quoque cor-
              <lb/>
            poribus magnis, ſi nullæ aliæ conditiones iis acceſſerint.</s>
            <s xml:id="echoid-s10902" xml:space="preserve"/>
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