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

< >
[601.] PROPOSITIO XCIX.
Page: 643 (626)
[602.] PROPOSITIO C.
Page: 644 (627)
[603.] PROPOSITIO CI.
Page: 644 (627)
[604.] PROPOSITIO CII.
Page: 645 (628)
[605.] EXPERIMENTUM CCVIII.
Page: 645 (628)
[606.] PROPOSITIO CIII.
Page: 646 (629)
[607.] PROPOSITIO CIV.
Page: 647 (630)
[608.] PROPOSITIO CV.
Page: 648 (631)
[609.] PROPOSITIO CVI.
Page: 648 (631)
[610.] PROPOSITIO CVII.
Page: 649 (632)
[611.] PROPOSITIO CVIII.
Page: 650 (633)
[612.] PROPOSITIO CIX.
Page: 650 (633)
[613.] PROPOSITIO CX.
Page: 651 (634)
[614.] PROPOSITIO CXI.
Page: 652 (635)
[615.] PROPOSITIO CXII.
Page: 653 (636)
[616.] PROPOSITIO CXIII.
Page: 653 (636)
[617.] PROPOSITIO CXIV.
Page: 654 (637)
[618.] PROPOSITIO CXV.
Page: 654 (637)
[619.] PROPOSITIO CXVI.
Page: 655 (638)
[620.] PROPOSITIO CXVII.
Page: 655 (638)
[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)
< >
page |< < (638) of 795 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div618" type="section" level="1" n="618">
          <pb o="638" file="0654" n="655" rhead="INTRODUCTIO AD COHÆRENTIAM"/>
        </div>
        <div xml:id="echoid-div619" type="section" level="1" n="619">
          <head xml:id="echoid-head738" xml:space="preserve">PROPOSITIO CXVI.</head>
          <p style="it">
            <s xml:id="echoid-s16196" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s16197" xml:space="preserve">XXVII. </s>
            <s xml:id="echoid-s16198" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s16199" xml:space="preserve">9. </s>
            <s xml:id="echoid-s16200" xml:space="preserve">Si detur corpus Z B M A N, cujus baſis
              <lb/>
            borizontalis Z B M B ſit duplex parabola, cujus vertex B, axis
              <lb/>
            B B, erit boc corpus utrimque in Z & </s>
            <s xml:id="echoid-s16201" xml:space="preserve">M ſuffultum ubivis æqua-
              <lb/>
            lis Cohærentiæ.</s>
            <s xml:id="echoid-s16202" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16203" xml:space="preserve">Quia altitudo hujus corporis eſt = B C & </s>
            <s xml:id="echoid-s16204" xml:space="preserve">in omni puncto eadem,
              <lb/>
            erit Cohærentia uti eſt latitudo B B, b b. </s>
            <s xml:id="echoid-s16205" xml:space="preserve">ſed eſt ex natura parabo-
              <lb/>
            læ, uti B B ad b b, ita B
              <emph style="ol">M</emph>
              <emph style="super">q</emph>
            . </s>
            <s xml:id="echoid-s16206" xml:space="preserve">ad Z b X b M. </s>
            <s xml:id="echoid-s16207" xml:space="preserve">eſt autem momentum
              <lb/>
            ponderis in B ad illud in b. </s>
            <s xml:id="echoid-s16208" xml:space="preserve">uti
              <emph style="ol">B M</emph>
              <emph style="super">q</emph>
            ad Z b X b M adeoque uti Co-
              <lb/>
            hærentia: </s>
            <s xml:id="echoid-s16209" xml:space="preserve">erit ergo hoc ſolidum ubivis æqualis Cohærentiæ.</s>
            <s xml:id="echoid-s16210" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div620" type="section" level="1" n="620">
          <head xml:id="echoid-head739" xml:space="preserve">PROPOSITIO CXVII.</head>
          <p style="it">
            <s xml:id="echoid-s16211" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s16212" xml:space="preserve">XXVII. </s>
            <s xml:id="echoid-s16213" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s16214" xml:space="preserve">15. </s>
            <s xml:id="echoid-s16215" xml:space="preserve">Sit B A F triangulum, baſis ſolidi, atque
              <lb/>
            A C C F parabola, cujus axis A B, vertex A, erit boc ſolidum
              <lb/>
            ubivis æqualis Cohærentiæ, modo fulciatur utrimque in A F
              <lb/>
            & </s>
            <s xml:id="echoid-s16216" xml:space="preserve">B.</s>
            <s xml:id="echoid-s16217" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16218" xml:space="preserve">Fiant enim ſectiones G D, K L perpendiculares in baſin A F B.
              <lb/>
            </s>
            <s xml:id="echoid-s16219" xml:space="preserve">erit Cohærentia in D G ad K L, in ratione compoſita ex duplicata
              <lb/>
            D G ad K L, & </s>
            <s xml:id="echoid-s16220" xml:space="preserve">D E ad P L: </s>
            <s xml:id="echoid-s16221" xml:space="preserve">eſt vero D E ad P L:</s>
            <s xml:id="echoid-s16222" xml:space="preserve">: B D, B L. </s>
            <s xml:id="echoid-s16223" xml:space="preserve">& </s>
            <s xml:id="echoid-s16224" xml:space="preserve">
              <lb/>
              <emph style="ol">D G</emph>
              <emph style="super">q</emph>
            ad
              <emph style="ol">K</emph>
            L
              <emph style="super">q</emph>
            :</s>
            <s xml:id="echoid-s16225" xml:space="preserve">: F D, F L. </s>
            <s xml:id="echoid-s16226" xml:space="preserve">quare rationes Cohærentiarum in ſectio-
              <lb/>
            nibus D G, K L reducuntur ad rationes F D, ad F L, & </s>
            <s xml:id="echoid-s16227" xml:space="preserve">D B ad
              <lb/>
            L B. </s>
            <s xml:id="echoid-s16228" xml:space="preserve">hoc eſt F D X D B & </s>
            <s xml:id="echoid-s16229" xml:space="preserve">F L X L B. </s>
            <s xml:id="echoid-s16230" xml:space="preserve">ſed momentum ponderis ap-
              <lb/>
            plicati in D G, eſt ad momentum ejuſdem applicati in ſectione K L,
              <lb/>
            uti F D X D B, ad F L X L B. </s>
            <s xml:id="echoid-s16231" xml:space="preserve">quare momentum ponderis eſt in
              <lb/>
            qualibet ſectione ad Cohærentiam in eadem ratione, hoc eſt ſoli-
              <lb/>
            dum ejuſdem ubivis reſiſtentiæ.</s>
            <s xml:id="echoid-s16232" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16233" xml:space="preserve">Appendicis inſtar huic Capiti adnectam quædam Experimenta ab
              <lb/>
            aliis inſtituta, ut corporum firmitas cognoſcatur: </s>
            <s xml:id="echoid-s16234" xml:space="preserve">Sumſit Mariot-
              <lb/>
            tus virgam vitream cylindricam, diametri 1 {3/4} lineæ, longitudinis
              <lb/>
            11 pollic; </s>
            <s xml:id="echoid-s16235" xml:space="preserve">quam impoſuit duobus fulcris, 9 pollices a ſe remotis,
              <lb/>
            ex medio pondus libræ 1 {3/4} ſuſpenſum, cylindrum fregit.</s>
            <s xml:id="echoid-s16236" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16237" xml:space="preserve">Sumtum fuit parallelopipedum Glaciei, longum 15 pollices, la-
              <lb/>
            tum 4, altum 3 {1/3} pollic. </s>
            <s xml:id="echoid-s16238" xml:space="preserve">hoc horizontaliter impoſitum binis </s>
          </p>
        </div>
      </text>
    </echo>
Impressum