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-s16710" xml:space="preserve">
              <pb o="660" file="0676" n="677" rhead="INTRODUCTIO AD COHÆRENTIAM"/>
            pondus ductum in 144. </s>
            <s xml:id="echoid-s16711" xml:space="preserve">quod eſt quadratum longitudinis, dat 6480,
              <lb/>
            ſed in Experimento CCXXXIV. </s>
            <s xml:id="echoid-s16712" xml:space="preserve">idem parallelopipedum longum
              <lb/>
            11 pollices fractum fuit a libris 54: </s>
            <s xml:id="echoid-s16713" xml:space="preserve">quæ ductæ in quadratum lon-
              <lb/>
            gitudinis = 121, dant 6534. </s>
            <s xml:id="echoid-s16714" xml:space="preserve">quod iterum appropinquat ad propor.
              <lb/>
            </s>
            <s xml:id="echoid-s16715" xml:space="preserve">tionem: </s>
            <s xml:id="echoid-s16716" xml:space="preserve">in Experimento CCXXXVII. </s>
            <s xml:id="echoid-s16717" xml:space="preserve">productum quadrati lon-
              <lb/>
            gitudinis per vim reſiſtentiæ 68 dat 9792. </s>
            <s xml:id="echoid-s16718" xml:space="preserve">& </s>
            <s xml:id="echoid-s16719" xml:space="preserve">in Experimento
              <lb/>
            CCXXXVIII productum quadrati longitudinis per libras 80 dat
              <lb/>
            9680, qui numeri iterum ſunt ſibi propinqui: </s>
            <s xml:id="echoid-s16720" xml:space="preserve">in Experimento
              <lb/>
            CCXXXIX parallelopipedum Piceæ 12 pollic. </s>
            <s xml:id="echoid-s16721" xml:space="preserve">longum fractum
              <lb/>
            fuit a libris 79. </s>
            <s xml:id="echoid-s16722" xml:space="preserve">quadratum longitudinis in reſiſtentiam ductum dat
              <lb/>
            11376. </s>
            <s xml:id="echoid-s16723" xml:space="preserve">idem modo 10 pollices longum fractumque a libris 83, dat
              <lb/>
            pro producto ex quadrato longitudinis per reſiſtentiam 8300, ubi
              <lb/>
            aberratio eſt notabilis, an hæc in Picea ſemper erit, an vero alii
              <lb/>
            proportioni auſcultabit, nondum mihi conſtat, id ex pluribus Ex-
              <lb/>
            perimentis deducendum foret. </s>
            <s xml:id="echoid-s16724" xml:space="preserve">Reſat ut daretur demonſtratio,
              <lb/>
            quare hæc ligna reſiſtant in ratione inverſa duplicata longitudinum,
              <lb/>
            quam nondum eruere potui.</s>
            <s xml:id="echoid-s16725" xml:space="preserve"/>
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        <div xml:id="echoid-div660" type="section" level="1" n="660">
          <head xml:id="echoid-head781" xml:space="preserve">PROPOSITIO CXIX.</head>
          <p style="it">
            <s xml:id="echoid-s16726" xml:space="preserve">Parallelopipeda ejusdem Ligni, quoad longitudinem & </s>
            <s xml:id="echoid-s16727" xml:space="preserve">craſſitiem
              <lb/>
            diverſa, preſſa ſecundum longitudinem, exercent vires reſiſtentiæ,
              <lb/>
            quæ ſuni in ratione inverſa duplicata longitudinum, in ratione
              <lb/>
            ſimplici craſſitiei lateris, quod non inflectitur, & </s>
            <s xml:id="echoid-s16728" xml:space="preserve">in ratione du-
              <lb/>
            plicata craſſitiei lateris, quod inflectitur.</s>
            <s xml:id="echoid-s16729" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16730" xml:space="preserve">Patebit hoc ex comparatis inter ſe Experimentis CCXXII & </s>
            <s xml:id="echoid-s16731" xml:space="preserve">
              <lb/>
            CCXXV: </s>
            <s xml:id="echoid-s16732" xml:space="preserve">nam in Exper. </s>
            <s xml:id="echoid-s16733" xml:space="preserve">CCXXII parallelopipedum Quercicum
              <lb/>
            18 pollices longum, cujus ſingula latera erant 0, 23 pollic. </s>
            <s xml:id="echoid-s16734" xml:space="preserve">ſuſtinuit
              <lb/>
            libras 23. </s>
            <s xml:id="echoid-s16735" xml:space="preserve">in Exper. </s>
            <s xml:id="echoid-s16736" xml:space="preserve">CCXXV. </s>
            <s xml:id="echoid-s16737" xml:space="preserve">parallelopipedum 12 pollices lon-
              <lb/>
            gum, cujus ſingula latera ſunt 0, 35 pollic. </s>
            <s xml:id="echoid-s16738" xml:space="preserve">ſuſtinuit libras 185. </s>
            <s xml:id="echoid-s16739" xml:space="preserve">ut
              <lb/>
            igitur pateat Propoſitio, primum quæramus quantum reſiſtentiæ
              <lb/>
            habuiſſet parallelopipedum Experimenti CCXXII, ſi non fuiſſet
              <lb/>
            18 pollic. </s>
            <s xml:id="echoid-s16740" xml:space="preserve">ſed tantum 12 pollicum, quæ eſt longitudo Ligni ex
              <lb/>
            Experimento CCXXV. </s>
            <s xml:id="echoid-s16741" xml:space="preserve">quia ſecundum Propoſitionem præceden-
              <lb/>
            tem reſiſtentia ejuſdem parallelopipedi eſt in ratione duplicata in-
              <lb/>
            verſa longitudinis, erit 144, quadratum longitudinis 12 pollic.</s>
            <s xml:id="echoid-s16742" xml:space="preserve">, </s>
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