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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        <div xml:id="echoid-div613" type="section" level="1" n="613">
          <p>
            <s xml:id="echoid-s16078" xml:space="preserve">
              <pb o="635" file="0651" n="652" rhead="CORPORUM FIRMORUM."/>
            tum foret = 4 P X G C. </s>
            <s xml:id="echoid-s16079" xml:space="preserve">quod exprimeret Cohærentiam ſegmenti
              <lb/>
            tranſeuntis per punctum G, & </s>
            <s xml:id="echoid-s16080" xml:space="preserve">paralleli ad baſin A B E D. </s>
            <s xml:id="echoid-s16081" xml:space="preserve">ſed eſt
              <lb/>
            ſegmentum G I K L in pyramide, ejuſque Cohærentia ad Cohæren-
              <lb/>
            tiam ſegmenti in priſmate, (quod foret æquale baſi A B E D) in ra
              <lb/>
            tione duplicata G I ad A D, & </s>
            <s xml:id="echoid-s16082" xml:space="preserve">ſimplici I K ad A B: </s>
            <s xml:id="echoid-s16083" xml:space="preserve">adeoque erit
              <lb/>
              <emph style="ol">D A</emph>
              <emph style="super">q</emph>
            X A B, 4 P X F C:</s>
            <s xml:id="echoid-s16084" xml:space="preserve">:
              <emph style="ol">G I</emph>
              <emph style="super">q</emph>
            X I K. </s>
            <s xml:id="echoid-s16085" xml:space="preserve">{
              <emph style="ol">G I</emph>
              <emph style="super">q</emph>
            X I K X 4 P X F C/D A
              <emph style="super">q</emph>
            X A B}.
              <lb/>
            </s>
            <s xml:id="echoid-s16086" xml:space="preserve">quod exprimet Cohærentiam ſegmenti G I K L, quæ reſpectu Cohæ-
              <lb/>
            rentiæ pyramidis baſi affixæ parieti eſt, uti {
              <emph style="ol">G I</emph>
              <emph style="super">q</emph>
            X I K X 4 P X F C/
              <emph style="ol">D A</emph>
              <emph style="super">q</emph>
            X A B}
              <lb/>
            ad D C X P. </s>
            <s xml:id="echoid-s16087" xml:space="preserve">Eodem modo facile eruetur Cohærentia ſegmenti
              <lb/>
            M O S. </s>
            <s xml:id="echoid-s16088" xml:space="preserve">eſt enim Cohærentia hujus, ad Cohærentiam ſegmenti
              <lb/>
            G I K L in ratione compoſita ex
              <emph style="ol">D G</emph>
              <emph style="super">q</emph>
            ad D M X M C, & </s>
            <s xml:id="echoid-s16089" xml:space="preserve">
              <emph style="ol">O M</emph>
              <emph style="super">q</emph>
            X O S
              <lb/>
            ad
              <emph style="ol">G I</emph>
              <emph style="super">q</emph>
            X I K. </s>
            <s xml:id="echoid-s16090" xml:space="preserve">quare erit Cohærentia ſegmenti M O S
              <lb/>
            ={
              <emph style="ol">D G</emph>
              <emph style="super">q</emph>
            X
              <emph style="ol">O M</emph>
              <emph style="super">q</emph>
            X O S X 4 P X F C/M C X
              <emph style="ol">D A</emph>
              <emph style="super">q</emph>
            X A B}.</s>
            <s xml:id="echoid-s16091" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16092" xml:space="preserve">Corol. </s>
            <s xml:id="echoid-s16093" xml:space="preserve">Eodem modo Cohærentia ſegmenti cujuslibet baſi paral-
              <lb/>
            leli in Cono erui poterit, modo habeamus rationem axeos loco la-
              <lb/>
            teris D C in hac pyramide conceptæ: </s>
            <s xml:id="echoid-s16094" xml:space="preserve">aut in quacunque pyramide
              <lb/>
            ratio axeos etiam habeatur, tumque facile cujuslibet ſegmenti Co-
              <lb/>
            hærentia determinabitur.</s>
            <s xml:id="echoid-s16095" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div614" type="section" level="1" n="614">
          <head xml:id="echoid-head733" xml:space="preserve">PROPOSITIO CXI.</head>
          <p style="it">
            <s xml:id="echoid-s16096" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s16097" xml:space="preserve">XXVIII. </s>
            <s xml:id="echoid-s16098" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s16099" xml:space="preserve">1. </s>
            <s xml:id="echoid-s16100" xml:space="preserve">Si fuerit ſolidum A B C D compoſitum ex duo-
              <lb/>
            bus Conis æque altis, & </s>
            <s xml:id="echoid-s16101" xml:space="preserve">ejusdem baſeos B G D ſibi in vicem impoſi-
              <lb/>
            tis, quod utrimque fulciatur in A & </s>
            <s xml:id="echoid-s16102" xml:space="preserve">C. </s>
            <s xml:id="echoid-s16103" xml:space="preserve">erit Cobærentia ſegmenti
              <lb/>
            B G D, ad Cobærentiam ſegmenti H E I perpendicularis ad bori-
              <lb/>
            zontem, in ratione compoſita ex A E X E C X
              <emph style="ol">B D</emph>
              <emph style="super">c</emph>
            . </s>
            <s xml:id="echoid-s16104" xml:space="preserve">ad
              <emph style="ol">A G</emph>
              <emph style="super">q</emph>
              <lb/>
            X
              <emph style="ol">I H</emph>
              <emph style="super">c</emph>
            .</s>
            <s xml:id="echoid-s16105" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16106" xml:space="preserve">Si foret A B C D Priſma vel Cylindrus ubivis æque latus, eſſet
              <lb/>
            Cohærentia in I H ad eam in B D, ut A G
              <emph style="super">q</emph>
            ad A E X E C. </s>
            <s xml:id="echoid-s16107" xml:space="preserve">cum ve-
              <lb/>
            ro ſegmenta H I, B D ſint inæqualia in Cono duplici, & </s>
            <s xml:id="echoid-s16108" xml:space="preserve">ſint cir-
              <lb/>
            cularia, quorum Cohærentia eſt in ratione Cubica </s>
          </p>
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