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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          <pb o="614" file="0630" n="631" rhead="INTRODUCTIO AD COHÆRENTIAM"/>
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            <s xml:id="echoid-s15360" xml:space="preserve">Eſt momentum potentiæ A applicatæ vecti A b = A X A b. </s>
            <s xml:id="echoid-s15361" xml:space="preserve">Eſt
              <lb/>
            momentum alterius potentiæ A, quam diſtinctionis ergo vocabo
              <lb/>
            = a appenſæ vecti AB. </s>
            <s xml:id="echoid-s15362" xml:space="preserve">= a X AB ambarum potentiarum momenta
              <lb/>
            producere coſdem effectus ſupponitur, hoc eſt frangere ſolidum,
              <lb/>
            adeoque ſunt æqualia: </s>
            <s xml:id="echoid-s15363" xml:space="preserve">unde A X A b = a X A B. </s>
            <s xml:id="echoid-s15364" xml:space="preserve">Eodem modo
              <lb/>
            potentia C applicata vecti C b habet momentum = c X C b. </s>
            <s xml:id="echoid-s15365" xml:space="preserve">alia
              <lb/>
            potentia applicata eidem extremo C, vocetur D, hæc agens in
              <lb/>
            longitudinem CB. </s>
            <s xml:id="echoid-s15366" xml:space="preserve">habet momentum = D X CB. </s>
            <s xml:id="echoid-s15367" xml:space="preserve">quæ ambo mo-
              <lb/>
            menta potentiarum eoſdem effectus edentium, nempe fracturam
              <lb/>
            ſolidi, ſunt æqualia.</s>
            <s xml:id="echoid-s15368" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15369" xml:space="preserve">adeoque A X Ab = a X A B.
              <lb/>
            </s>
            <s xml:id="echoid-s15370" xml:space="preserve">& </s>
            <s xml:id="echoid-s15371" xml:space="preserve">C X Cb = D X C B. </s>
            <s xml:id="echoid-s15372" xml:space="preserve">
              <lb/>
            ducendo has quantitates æquales in ſe
              <lb/>
            fit A C X Ab X Cb = aD X AB X CB. </s>
            <s xml:id="echoid-s15373" xml:space="preserve">
              <lb/>
            & </s>
            <s xml:id="echoid-s15374" xml:space="preserve">ponendo in proportione
              <lb/>
            erit AC, aD:</s>
            <s xml:id="echoid-s15375" xml:space="preserve">: AB X CB, Ab X Cb.</s>
            <s xml:id="echoid-s15376" xml:space="preserve"/>
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            <s xml:id="echoid-s15377" xml:space="preserve">Corol. </s>
            <s xml:id="echoid-s15378" xml:space="preserve">Ergo productum potentiarum ſolidum frangentium & </s>
            <s xml:id="echoid-s15379" xml:space="preserve">ex-
              <lb/>
            tremis A & </s>
            <s xml:id="echoid-s15380" xml:space="preserve">C appenſarum, ſemper erit eo majus, quo fulcrum D
              <lb/>
            propius extremitati alterutri A aut C ponitur: </s>
            <s xml:id="echoid-s15381" xml:space="preserve">minimum vero eſt,
              <lb/>
            poſito in medio d.</s>
            <s xml:id="echoid-s15382" xml:space="preserve"/>
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        <div xml:id="echoid-div577" type="section" level="1" n="577">
          <head xml:id="echoid-head695" xml:space="preserve">CAPUT SEPTIMUM.</head>
          <head xml:id="echoid-head696" style="it" xml:space="preserve">De Cohærentia reſpectiva ſolidorum duobus fulcris
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          impoſitorum.</head>
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            <s xml:id="echoid-s15383" xml:space="preserve">Eſt examen de Cohærentia reſpectiva firmorum corporum, quæ
              <lb/>
            utraque extremitate fulcro imponuntur, non exiguæ utilita-
              <lb/>
            tis, quoniam ex trabibus utrimque ſuffultis pondera graviſſima ſæpe
              <lb/>
            ſuſpenduntur, aut onera medio earum imponuntur; </s>
            <s xml:id="echoid-s15384" xml:space="preserve">adeoque Co-
              <lb/>
            hærentia maxima deſideratur determinanda, ut trabs tenuis ferat
              <lb/>
            tuto pondus maximum; </s>
            <s xml:id="echoid-s15385" xml:space="preserve">tum ut ex arbore trabes illius generis ſece-
              <lb/>
            mus, quæ minima Ligni quantitate conſtant, & </s>
            <s xml:id="echoid-s15386" xml:space="preserve">tamen ſint </s>
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