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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[631.] EXPERIMENTUM CCXVIII.
Page: 660 (643)
[632.] EXPERIMENTUM CCXIX.
Page: 660 (643)
[633.] EXPERIMENTUM CCXX.
Page: 661 (644)
[634.] TABULA
Page: 664 (647)
[635.] EXPERIMENTUM CCXXI.
Page: 668 (651)
[636.] CAPUT NONUM. De Cohærentia corporum compreſſorum.
Page: 669 (652)
[637.] EXPERIMENTUM CCXXII.
Page: 672 (655)
[638.] EXPERIMENTUM CCXXIII.
Page: 672 (655)
[639.] EXPERIMENTUM CCXXIV.
Page: 672 (655)
[640.] EXPERIMENTUM CCXXV.
Page: 672 (655)
[641.] EXPERIMENTUM CCXXVI.
Page: 672 (655)
[642.] EXPERIMENTUM CCXXVII.
Page: 672 (655)
[643.] EXPERIMENTUM CCXXVIII.
Page: 673 (656)
[644.] EXPERIMENTUM CCXXIX.
Page: 673 (656)
[645.] EXPERIMENTUM CCXXX.
Page: 673 (656)
[646.] EXPERIMENTUM CCXXXI.
Page: 673 (656)
[647.] EXPERIMENTUM CCXXXII.
Page: 673 (656)
[648.] EXPERIMENTUM CCXXXIII.
Page: 673 (656)
[649.] EXPERIMENTUM CCXXXIV.
Page: 673 (656)
[650.] EXPERIMENTUM CCXXXV.
Page: 674 (657)
[651.] EXPERIMENTUM CCXXXVI.
Page: 674 (657)
[652.] EXPERIMENTUM CCXXXVII.
Page: 674 (657)
[653.] EXPERIMENTUM CCXXXVIII.
Page: 674 (657)
[654.] EXPERIMENTUM CCXXXIX.
Page: 674 (657)
[655.] EXPERIMENTUM CCXL.
Page: 674 (657)
[656.] EXPERIMENTUM CCXLI.
Page: 674 (657)
[657.] EXPERIMENTUM CCXLII.
Page: 674 (657)
[658.] EXPERIMENTUM CCXLIII.
Page: 675 (658)
[659.] PROPOSITIO CXVIII.
Page: 675 (658)
[660.] PROPOSITIO CXIX.
Page: 677 (660)
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            <s xml:id="echoid-s15608" xml:space="preserve">
              <pb o="623" file="0639" n="640" rhead="CORPORUM FIRMORUM."/>
            altitudinis, & </s>
            <s xml:id="echoid-s15609" xml:space="preserve">plus minuſve ab ea proportione diſcedit, fiet prima
              <lb/>
            aberratio: </s>
            <s xml:id="echoid-s15610" xml:space="preserve">2°. </s>
            <s xml:id="echoid-s15611" xml:space="preserve">In Experimentis noſtris adhibuimus lignum opti-
              <lb/>
            mæ notæ, non nodoſum, non intortis fibris, ſed mere rectis con-
              <lb/>
            ſtans; </s>
            <s xml:id="echoid-s15612" xml:space="preserve">cum Trabs inſignis longitudinis & </s>
            <s xml:id="echoid-s15613" xml:space="preserve">craſſitiei ſemper ſit no-
              <lb/>
            doſa, & </s>
            <s xml:id="echoid-s15614" xml:space="preserve">partim fibris rectis, partim flexuoſis conſtet; </s>
            <s xml:id="echoid-s15615" xml:space="preserve">adeoque
              <lb/>
            iterum Cohærentia Ligni in Experimento examinati & </s>
            <s xml:id="echoid-s15616" xml:space="preserve">propoſitæ
              <lb/>
            trabis non accurate reſpondebit proportionibus craſſitiei, altitudi-
              <lb/>
            nis, & </s>
            <s xml:id="echoid-s15617" xml:space="preserve">longitudinis: </s>
            <s xml:id="echoid-s15618" xml:space="preserve">3°. </s>
            <s xml:id="echoid-s15619" xml:space="preserve">prout Trabs fuerit humidior ſicciorve, in
              <lb/>
            calidiori vel frigidiori excreverit regione, annoſior aut tenerior fue-
              <lb/>
            rit, magis minuſve firma erit: </s>
            <s xml:id="echoid-s15620" xml:space="preserve">Progreſſum itaque ope Experimen-
              <lb/>
            torum noſtrorum aliquem utcunque exiguum, me in Phyſica feciſſe,
              <lb/>
            & </s>
            <s xml:id="echoid-s15621" xml:space="preserve">præſtitiſſe opinor ea, quæ fundamenta manere poterunt hujus do-
              <lb/>
            ctrinæ, nequaquam Firmitatis doctrinam penitus abſolviſſe.</s>
            <s xml:id="echoid-s15622" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15623" xml:space="preserve">Poterunt autem ex noſtris Experimentis firmitates Lignorum
              <lb/>
            diverſorum cognoſci, comparando pondera Cohærentiam expri-
              <lb/>
            mentia, quæ appenſa fuerunt parallelopipedis æque altis, latis,
              <lb/>
            longiſque, atque deprehendentur ſecundum hanc proportionem Fir-
              <lb/>
            mitates eorum reſpectivæ.</s>
            <s xml:id="echoid-s15624" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">
            <lb/>
          Quercus. # Ulmus. # Fraxinus. # Picea. # Tilia.
            <lb/>
          15 {405/2178}. # 7. # 19 {19/135}. # 11 {1/2}. # 12 {207/289}.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s15625" xml:space="preserve">Quia tamen plurimorum corporum firmitates appropinquant ad
              <lb/>
            proportionem, duplicatæ altitudinis, eam aſſumere poterimus, ut
              <lb/>
            ſupra, tumque plurima pulcherrimaque exhiberi poterunt Theo-
              <lb/>
            remata, quæ nunc aggredior.</s>
            <s xml:id="echoid-s15626" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div599" type="section" level="1" n="599">
          <head xml:id="echoid-head718" xml:space="preserve">PROPOSITIO XCVII.</head>
          <p style="it">
            <s xml:id="echoid-s15627" xml:space="preserve">Tab XXIV. </s>
            <s xml:id="echoid-s15628" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s15629" xml:space="preserve">7. </s>
            <s xml:id="echoid-s15630" xml:space="preserve">Si detur aſſer aut parallelopipedum D A B
              <lb/>
            C E F, impoſitum duobus fulcris A & </s>
            <s xml:id="echoid-s15631" xml:space="preserve">B, ex cujus medio K agat
              <lb/>
            pondus P, erit hujus Cohærentia, ad eam quam haberet, impoſito
              <lb/>
            latere A F C B fulcris, uti eſt B C ad E C:</s>
            <s xml:id="echoid-s15632" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15633" xml:space="preserve">Nam eſt Cohærentia parallelopipedi ita impoſiti ſuis fulcris A & </s>
            <s xml:id="echoid-s15634" xml:space="preserve">B
              <lb/>
            ac hic repræſentatur, in ratione compoſita ex E C latitudine & </s>
            <s xml:id="echoid-s15635" xml:space="preserve">du-
              <lb/>
            plicata altitudinis C B. </s>
            <s xml:id="echoid-s15636" xml:space="preserve">ſive uti E C X
              <emph style="ol">CB</emph>
              <emph style="super">q</emph>
            . </s>
            <s xml:id="echoid-s15637" xml:space="preserve">Atque eſt Cohæren-
              <lb/>
            tia ejuſdem parallelopipedi impoſiti lateri A F C B, in ratione </s>
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