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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[561.] PROPOSITIO LXXXII.
Page: 619 (602)
[562.] PROPOSITIO LXXXIII.
Page: 620 (603)
[563.] PROPOSITIO LXXXIV.
Page: 621 (604)
[564.] De Corporibus Hyperbolicis. PROPOSITIO LXXXV.
Page: 622 (605)
[565.] PROPOSITIO LXXXVI.
Page: 622 (605)
[566.] PROPOSITIO LXXXVII.
Page: 623 (606)
[567.] PROPOSITIO LXXXVIII.
Page: 623 (606)
[568.] PROPOSITIO LXXXIX.
Page: 624 (607)
[569.] De Hemisphæriis. PROPOSITIO XC.
Page: 624 (607)
[570.] PROPOSITIO XCI.
Page: 625 (608)
[571.] PROPOSITIO XCII.
Page: 625 (608)
[572.] PROPOSITIO XCIII.
Page: 626 (609)
[573.] CAPUT SEXTUM. De Cohærentia Corporum quibus fulcrum ſupponitur. PROPOSITIO XCIV.
Page: 627 (610)
[574.] EXPERIMENTUM CLXXXVI.
Page: 629 (612)
[575.] PROPOSITIO XCV.
Page: 629 (612)
[576.] PROPOSITIO CXVI.
Page: 630 (613)
[577.] CAPUT SEPTIMUM. De Cohærentia reſpectiva ſolidorum duobus fulcris impoſitorum.
Page: 631 (614)
[578.] EXPERIMENTUM CLXXXVII.
Page: 632 (615)
[579.] EXPERIMENTUM CLXXXVIII.
Page: 633 (616)
[580.] EXPERIMENTUM CLXXXIX.
Page: 633 (616)
[581.] EXPERIMENTUM CXC.
Page: 633 (616)
[582.] EXPERIMENTUM CXCI.
Page: 633 (616)
[583.] EXPERIMENTUM CXCII.
Page: 635 (618)
[584.] EXPERIMENTUM CXCIII.
Page: 635 (618)
[585.] EXPERIMENTUM CXCIV.
Page: 635 (618)
[586.] EXPERIMENTUM CXCV.
Page: 635 (618)
[587.] EXPERIMENTUM CXCVI.
Page: 636 (619)
[588.] EXPERIMENTUM CXCVII.
Page: 636 (619)
[589.] EXPERIMENTUM CXCVIII.
Page: 636 (619)
[590.] EXPERIMENTUM CXCIX.
Page: 636 (619)
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            <s xml:id="echoid-s14348" xml:space="preserve">
              <pb o="585" file="0601" n="602" rhead="CORPORUM FIRMORUM."/>
            +pc, aab:</s>
            <s xml:id="echoid-s14349" xml:space="preserve">: {1/6} {abdd/c + pd}, {aabdd + aabd.</s>
            <s xml:id="echoid-s14350" xml:space="preserve">}/c
              <emph style="super">3</emph>
            + c.</s>
            <s xml:id="echoid-s14351" xml:space="preserve">} quarc Cohæren-
              <lb/>
            tia baſeos a b b c deberet eſſe æqualis {aabdd + aabd.</s>
            <s xml:id="echoid-s14352" xml:space="preserve">/c
              <emph style="super">3</emph>
            +c} ſed eſt mo-
              <lb/>
            do æqualis {aabd.</s>
            <s xml:id="echoid-s14353" xml:space="preserve">/c} adeoque non datur inter ambarum baſium in his
              <lb/>
            priſmatibus eadem ratio Cohærentiæ ad momenta ponderis P & </s>
            <s xml:id="echoid-s14354" xml:space="preserve">
              <lb/>
            propriæ gravitatis, uti in priſmatibus gravitate deſtitutis, qua-
              <lb/>
            propter ejuſmodi priſma Triangulare, grave poſitum, uti ſemper
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            eſt, non eſt corpus ubique ejuſdem reſiſtentiæ.</s>
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          <head xml:id="echoid-head649" style="it" xml:space="preserve">De Conis & Pyramidibus.</head>
          <head xml:id="echoid-head650" xml:space="preserve">PROPOSITIO LVIII.</head>
          <p style="it">
            <s xml:id="echoid-s14356" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s14357" xml:space="preserve">XXV. </s>
            <s xml:id="echoid-s14358" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s14359" xml:space="preserve">12. </s>
            <s xml:id="echoid-s14360" xml:space="preserve">Conorum atque Pyramidum, quarum altera
              <lb/>
            eſt alterius portio, Cohærentiæ ſunt inter ſe uti cubi baſium, vel
              <lb/>
            ſoliditates ipſorum corporum.</s>
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            <s xml:id="echoid-s14362" xml:space="preserve">Sit enim Conus vel pyramis A B G cujus baſis A B. </s>
            <s xml:id="echoid-s14363" xml:space="preserve">ſecetur pla-
              <lb/>
            no C D parallelo ad baſin, erit Cohærentia baſeos A B ad eam in
              <lb/>
            C D, in ratione duplicata altitudinis A B ad C D. </s>
            <s xml:id="echoid-s14364" xml:space="preserve">per Prop. </s>
            <s xml:id="echoid-s14365" xml:space="preserve">XXII.
              <lb/>
            </s>
            <s xml:id="echoid-s14366" xml:space="preserve">& </s>
            <s xml:id="echoid-s14367" xml:space="preserve">in ratione latitudinis A B ad C D. </s>
            <s xml:id="echoid-s14368" xml:space="preserve">hoc eſt uti cubus A B ad cubum
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            C D; </s>
            <s xml:id="echoid-s14369" xml:space="preserve">ſed ut cubus A B ad cubum C D, ita conus vel pyramis A B G
              <lb/>
            ad conum vel pyramidem C D G, quare erunt Cohærentiæ uti ſunt
              <lb/>
            ipſa ſolida.</s>
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          <head xml:id="echoid-head651" xml:space="preserve">PROPOSITIO LIX.</head>
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            <s xml:id="echoid-s14371" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s14372" xml:space="preserve">XXV. </s>
            <s xml:id="echoid-s14373" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s14374" xml:space="preserve">12. </s>
            <s xml:id="echoid-s14375" xml:space="preserve">Conorum atque pyramidum, quarum altera
              <lb/>
            alterius eſt portio, invenire momenta ex propria gravitate oriunda.</s>
            <s xml:id="echoid-s14376" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s14377" xml:space="preserve">Vocetur diameter baſeos A B, a. </s>
            <s xml:id="echoid-s14378" xml:space="preserve">C D, c. </s>
            <s xml:id="echoid-s14379" xml:space="preserve">E G longitudo, b. </s>
            <s xml:id="echoid-s14380" xml:space="preserve">erit f G = {bc.</s>
            <s xml:id="echoid-s14381" xml:space="preserve">/a}
              <lb/>
            & </s>
            <s xml:id="echoid-s14382" xml:space="preserve">ſoliditas Coni A G B ad ſoliditatem Coni C G D, uti {aab/3} ad {bc
              <emph style="super">3</emph>
            .</s>
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