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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[621.] CAPUT OCTAVUM. De Cohærentia ſolidorum utrimque a foramine arcto exceptorum.
Page: 656 (639)
[622.] EXPERIMENTUM CCIX.
Page: 657 (640)
[623.] EXPERIMENTUM CCX.
Page: 657 (640)
[624.] EXPERIMENTUM CCXI.
Page: 658 (641)
[625.] EXPERIMENTUM CCXII.
Page: 658 (641)
[626.] EXPERIMENTUM CCXIII.
Page: 659 (642)
[627.] EXPERIMENTUM CCXIV.
Page: 659 (642)
[628.] EXPERIMENTUM CCXV.
Page: 659 (642)
[629.] EXPERIMENTUM CCXVI.
Page: 660 (643)
[630.] EXPERIMENTUM CCXVII.
Page: 660 (643)
[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)
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              <pb o="609" file="0625" n="626" rhead="CORPORUM FIRMORUM."/>
            tegralis erit {cxx/2}-{cx
              <emph style="super">3</emph>
            /6r}, quæ eſt quantitas æqualis ſegmento ſphæ-
              <lb/>
            rico F B E. </s>
            <s xml:id="echoid-s15227" xml:space="preserve">centrum autem gravitatis abeſt ab F E = {3/8} x, adeoque
              <lb/>
            momentum erit = {3/16}cx
              <emph style="super">3</emph>
            -{3cx
              <emph style="super">4</emph>
            /48r}.</s>
            <s xml:id="echoid-s15228" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15229" xml:space="preserve">Poſſet hæc doctrina admodum amplificari conſiderationibus plu-
              <lb/>
            rimorum Solidorum, quæ ex convolutis curvis diverſiſſimorum ge-
              <lb/>
            nerum vario modo naſcuntur, aut quæ compoſita ſunt ex curvis
              <lb/>
            ſuperficiebus varii generis; </s>
            <s xml:id="echoid-s15230" xml:space="preserve">quorum momenta gravitatis; </s>
            <s xml:id="echoid-s15231" xml:space="preserve">centra
              <lb/>
            gravitatis; </s>
            <s xml:id="echoid-s15232" xml:space="preserve">Cohærentiæ baſium, & </s>
            <s xml:id="echoid-s15233" xml:space="preserve">aliorum ſegmentorum baſibus
              <lb/>
            parallelorum; </s>
            <s xml:id="echoid-s15234" xml:space="preserve">pondera appenſa conſtantia, variabilia, mererentur
              <lb/>
            inquiri & </s>
            <s xml:id="echoid-s15235" xml:space="preserve">demonſtrari. </s>
            <s xml:id="echoid-s15236" xml:space="preserve">Verum ita hæc Diſſertatio in magnum vo-
              <lb/>
            lumen Geometricum increviſſet: </s>
            <s xml:id="echoid-s15237" xml:space="preserve">Qui tamen plura ſubtilia circa
              <lb/>
            Cohærentiam ſolidorum, infinitaque corpora æquabilis reſiſtentiæ
              <lb/>
            per totam longitudinem cognoſcere deſiderat, adeat, quæ Cl. </s>
            <s xml:id="echoid-s15238" xml:space="preserve">Paren-
              <lb/>
            tius eleganter demonſtravit in L’ Hiſt. </s>
            <s xml:id="echoid-s15239" xml:space="preserve">de L’ Acad. </s>
            <s xml:id="echoid-s15240" xml:space="preserve">Roy. </s>
            <s xml:id="echoid-s15241" xml:space="preserve">A°. </s>
            <s xml:id="echoid-s15242" xml:space="preserve">1710.
              <lb/>
            </s>
            <s xml:id="echoid-s15243" xml:space="preserve">Puteus profecto inexhauſtus reſtat; </s>
            <s xml:id="echoid-s15244" xml:space="preserve">ſed qui exercitatum poſtulat
              <lb/>
            Geometram, ne ſub ipſis pereat Aquis: </s>
            <s xml:id="echoid-s15245" xml:space="preserve">interea ſolent profundiſſi-
              <lb/>
            mæ conſiderationes plus acuminis & </s>
            <s xml:id="echoid-s15246" xml:space="preserve">doctrinæ oſtentare, quam uti-
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            litatis afferre, quare claudam hoc Caput generali Propoſitione â Cl. </s>
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              <lb/>
            Grando inventa.</s>
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          <head xml:id="echoid-head688" xml:space="preserve">PROPOSITIO XCIII.</head>
          <p style="it">
            <s xml:id="echoid-s15249" xml:space="preserve">Infinita ſolida reperire, quæ cum uno ſui extremo fuerint pa-
              <lb/>
            rieti infixa horizontaliter, reſpectu proprii ponderis æqualis ſint
              <lb/>
            Cohærentiæ.</s>
            <s xml:id="echoid-s15250" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15251" xml:space="preserve">Sumatur pro curva verticali complementum ordinariæ Parabolæ,
              <lb/>
            cujus ordinatæ ad Tangentem verticis applicantur; </s>
            <s xml:id="echoid-s15252" xml:space="preserve">pro figura vero
              <lb/>
            horizontali aſſumatur, aut rectangulum, aut Triangulum, aut quæ-
              <lb/>
            libet ex infinitis Parabolis eundem verticem reſpicientibus, cujus
              <lb/>
            ordinatæ fint, ut abſciſſarum axis poteſtates a quolibet exponen-
              <lb/>
            te m indicatæ. </s>
            <s xml:id="echoid-s15253" xml:space="preserve">Dico ſolidum ex utraque figura reſultans tale eſſe,
              <lb/>
            ut vi proprii ponderis ubique æqualiter cohæreat, ita ut ſi totum
              <lb/>
            nequeat frangi juxta ſectionem muro inhærentem, nec ulla ejus
              <lb/>
            portio perſectionem alteram, eidem muro parallelam, poſſit </s>
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