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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              <pb o="634" file="0650" n="651" rhead="INTRODUCTIO AD COHÆRENTIAM"/>
            rieti ſit affixa, invenire Cobærentiam cujuslibet ſegmenti F E K ad
              <lb/>
            baſin A B P paralleli, poſito Cuneo ſuper duobus fulcris A & </s>
            <s xml:id="echoid-s16048" xml:space="preserve">C D.
              <lb/>
            </s>
            <s xml:id="echoid-s16049" xml:space="preserve">& </s>
            <s xml:id="echoid-s16050" xml:space="preserve">latere A C borizontali.</s>
            <s xml:id="echoid-s16051" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16052" xml:space="preserve">Sit pondus applicatum extremo C D vocatum P, erit ejus mo-
              <lb/>
            mentum = P X A C, quod eſt æquale Cohærentiæ baſeos cunei,
              <lb/>
            quia ponitur pondus P eſſe maximum: </s>
            <s xml:id="echoid-s16053" xml:space="preserve">ſi nunc cuneus foret priſma
              <lb/>
            ubivis æque latum, impoſitumque duobus fulcris A & </s>
            <s xml:id="echoid-s16054" xml:space="preserve">C D, me-
              <lb/>
            diumque punctum ſit H, poterit per Propoſ. </s>
            <s xml:id="echoid-s16055" xml:space="preserve">CII. </s>
            <s xml:id="echoid-s16056" xml:space="preserve">ex H ſuſpendi pon-
              <lb/>
            dus quadruplo majus, quam ante ex C D, cum cuneus parieti erat
              <lb/>
            affixus; </s>
            <s xml:id="echoid-s16057" xml:space="preserve">adeoque pondus 4 P ſuſpenſum ex H, agit ex vecte H C,
              <lb/>
            unde ejus momentum eſt = 4 P X H C. </s>
            <s xml:id="echoid-s16058" xml:space="preserve">ſed Cohærentia priſmatis
              <lb/>
            cujus altitudo foret A B, eſt ad Cohærentiam ſolidi, cujus altitudo
              <lb/>
            eſt H G, uti
              <emph style="ol">A B</emph>
              <emph style="super">q</emph>
            ad
              <emph style="ol">H G</emph>
              <emph style="super">q</emph>
            : </s>
            <s xml:id="echoid-s16059" xml:space="preserve">quare pondus, quod applicatum cunei
              <lb/>
            medio altitudinis H G, ſuo momento Cohærentiam exprimet
              <lb/>
            ſegmenti H G L, erit = {4 P X H C X
              <emph style="ol">H G</emph>
              <emph style="super">q</emph>
            /
              <emph style="ol">A B</emph>
              <emph style="super">q</emph>
            }. </s>
            <s xml:id="echoid-s16060" xml:space="preserve">Sed eſt Cohæren-
              <lb/>
            tia ſegmenti F E K ad Cohærentiam ſegmenti H G L. </s>
            <s xml:id="echoid-s16061" xml:space="preserve">in ratione com-
              <lb/>
            poſita ex
              <emph style="ol">H C</emph>
              <emph style="super">q</emph>
            X
              <emph style="ol">F E</emph>
              <emph style="super">q</emph>
            ad A F X F C X
              <emph style="ol">H G</emph>
              <emph style="super">q</emph>
            . </s>
            <s xml:id="echoid-s16062" xml:space="preserve">adeoque Cohæren-
              <lb/>
            tia ſegmenti F E K erit = {4 P X
              <emph style="ol">H C</emph>
              <emph style="super">c</emph>
            X
              <emph style="ol">F E</emph>
              <emph style="super">q</emph>
            /
              <emph style="ol">A B</emph>
              <emph style="super">q</emph>
            X A F X F C}.</s>
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          </p>
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        <div xml:id="echoid-div613" type="section" level="1" n="613">
          <head xml:id="echoid-head732" xml:space="preserve">PROPOSITIO CX.</head>
          <p style="it">
            <s xml:id="echoid-s16064" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s16065" xml:space="preserve">XXVII. </s>
            <s xml:id="echoid-s16066" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s16067" xml:space="preserve">13. </s>
            <s xml:id="echoid-s16068" xml:space="preserve">Data pyramide A B D E C cujus baſis qua-
              <lb/>
            drangula, rectangula, & </s>
            <s xml:id="echoid-s16069" xml:space="preserve">ſimul ſit A D C angulus rectus, datoque
              <lb/>
            pondere maximo appenſo extremitati C pyramidis affix æ parieti,
              <lb/>
            invenire Cohærentiam cujuslibet ſegmenti G I K L paralleli ad ba-
              <lb/>
            ſin A B D E poſita pyramide ſuper duobus fulcris in D & </s>
            <s xml:id="echoid-s16070" xml:space="preserve">C, & </s>
            <s xml:id="echoid-s16071" xml:space="preserve">la-
              <lb/>
            tere D E C horizontali.</s>
            <s xml:id="echoid-s16072" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16073" xml:space="preserve">Ponatur pondus, quod extremitati C appenſum fuit maximum,
              <lb/>
            cum baſis A B D E pyramidis applicabatur parieti = P. </s>
            <s xml:id="echoid-s16074" xml:space="preserve">fuit ejus
              <lb/>
            momentum = P X D C, quod eſt æquale Cohærentiæ ad baſin pyra-
              <lb/>
            midis, impoſita pyramide duobus fulcris in D & </s>
            <s xml:id="echoid-s16075" xml:space="preserve">C. </s>
            <s xml:id="echoid-s16076" xml:space="preserve">ſit punctum G
              <lb/>
            dimidium ipſius F C, adeoque pondus appenſum ad G foret 4 P, ſi
              <lb/>
            ſolidum fuiſſet priſma ubivis æque altum & </s>
            <s xml:id="echoid-s16077" xml:space="preserve">latum, & </s>
            <s xml:id="echoid-s16078" xml:space="preserve">ejus </s>
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