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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[471.] EXPERIMENTUM CLX.
Page: 555 (538)
[472.] EXPERIMENTUM CLXI.
Page: 556 (539)
[473.] EXPERIMENTUM CLXII.
Page: 558 (541)
[474.] EXPERIMENTUM CLXIII.
Page: 559 (542)
[475.] EXPERIMENTUM CLXIV.
Page: 559 (542)
[476.] EXPERIMENTUM CLXV.
Page: 559 (542)
[477.] EXPERIMENTUM CLXVI.
Page: 559 (542)
[478.] EXPERIMENTUM CLXVII.
Page: 559 (542)
[479.] EXPERIMENTUM CLXVIII.
Page: 560 (543)
[480.] EXPERIMENTUM CLXIX.
Page: 560 (543)
[481.] EXPERIMENTUM CLXX.
Page: 560 (543)
[482.] EXPERIMENTUM CLXXI.
Page: 561 (544)
[483.] EXPERIMENTUM CLXXII.
Page: 561 (544)
[484.] EXPERIMENTUM CLXXIII.
Page: 561 (544)
[485.] EXPERIMENTUM CLXXIV.
Page: 562 (545)
[486.] EXPERIMENTUM CLXXV.
Page: 562 (545)
[487.] EXPERIMENTUM CLXXVI.
Page: 562 (545)
[488.] EXPERIMENTUM CLXXVII.
Page: 562 (545)
[489.] EXPERIMENTUM CLXXVIII.
Page: 564 (547)
[490.] EXPERIMENTUM CLXXIX.
Page: 564 (547)
[491.] EXPERIMENTUM CLXXX.
Page: 564 (547)
[492.] EXPERIMENTUM CLXXXI.
Page: 564 (547)
[493.] EXPERIMENTUM CLXXXII.
Page: 564 (547)
[494.] EXPERIMENTUM CLXXXIII.
Page: 564 (547)
[495.] PROPOSITIO XIX.
Page: 565 (548)
[496.] PROPOSITIO XX.
Page: 566 (549)
[497.] PROPOSITIO XXI.
Page: 567 (550)
[498.] EXPERIMENTUM CLXXXIV.
Page: 568 (551)
[499.] PROPOSITIO XXII.
Page: 568 (551)
[500.] Pro Corporibus Flexibilibus.
Page: 569 (552)
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          <head xml:id="echoid-head623" xml:space="preserve">PROPOSITIO XXXIII.</head>
          <p style="it">
            <s xml:id="echoid-s13430" xml:space="preserve">Tab XXV. </s>
            <s xml:id="echoid-s13431" xml:space="preserve">fig 1. </s>
            <s xml:id="echoid-s13432" xml:space="preserve">Datis duobus parallelopipedis A B C D,
              <lb/>
            E G H K, datæ longitudini I L aliud parallelopipedum ejusdem ma-
              <lb/>
            teriæ applicare I M N L, quod ad E G H K habeat rationem datam,
              <lb/>
            & </s>
            <s xml:id="echoid-s13433" xml:space="preserve">in quo gravitatis momentum ad ſuam Cohærentiam ſit in eadem
              <lb/>
            proportione, in quâ momentum gravitatis A B C D eſt ad ſuam Co-
              <lb/>
            hærentiam.</s>
            <s xml:id="echoid-s13434" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13435" xml:space="preserve">Ponatur A B = a. </s>
            <s xml:id="echoid-s13436" xml:space="preserve">B C = b. </s>
            <s xml:id="echoid-s13437" xml:space="preserve">A D = d. </s>
            <s xml:id="echoid-s13438" xml:space="preserve">& </s>
            <s xml:id="echoid-s13439" xml:space="preserve">in altero ſolido ſit E G = e,
              <lb/>
            G H = f. </s>
            <s xml:id="echoid-s13440" xml:space="preserve">E K = g data ratio ſit uti k ad l. </s>
            <s xml:id="echoid-s13441" xml:space="preserve">tum præterea I L = p.
              <lb/>
            </s>
            <s xml:id="echoid-s13442" xml:space="preserve">I M = x. </s>
            <s xml:id="echoid-s13443" xml:space="preserve">M N = z.</s>
            <s xml:id="echoid-s13444" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13445" xml:space="preserve">Erit momentum parallelopipedi A B C D = {1/2} a b d d.
              <lb/>
            </s>
            <s xml:id="echoid-s13446" xml:space="preserve">Cohærentia = a a b.</s>
            <s xml:id="echoid-s13447" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13448" xml:space="preserve">Parallelopipedi momentum I M N L = {1/2} p p x z.
              <lb/>
            </s>
            <s xml:id="echoid-s13449" xml:space="preserve">Cohærentia = x x z.</s>
            <s xml:id="echoid-s13450" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13451" xml:space="preserve">Ponitur momentum A B C D ad ſuam Cohærentiam, uti I M N L
              <lb/>
            momentum ad ſuam; </s>
            <s xml:id="echoid-s13452" xml:space="preserve">hoc eſt {1/2} a b d d. </s>
            <s xml:id="echoid-s13453" xml:space="preserve">a a b:</s>
            <s xml:id="echoid-s13454" xml:space="preserve">: {1/2} p p x z. </s>
            <s xml:id="echoid-s13455" xml:space="preserve">x x z. </s>
            <s xml:id="echoid-s13456" xml:space="preserve">unde
              <lb/>
            fit x = {a p p.</s>
            <s xml:id="echoid-s13457" xml:space="preserve">/d d} præterea ponitur parallelopipedum E G H K ad I M N L
              <lb/>
            in ratione k ad l. </s>
            <s xml:id="echoid-s13458" xml:space="preserve">hoc eſt e f g, p x z:</s>
            <s xml:id="echoid-s13459" xml:space="preserve">: k. </s>
            <s xml:id="echoid-s13460" xml:space="preserve">l. </s>
            <s xml:id="echoid-s13461" xml:space="preserve">adeoque e f g l
              <lb/>
            = k p z x & </s>
            <s xml:id="echoid-s13462" xml:space="preserve">loco x ponendo æquale {a p p.</s>
            <s xml:id="echoid-s13463" xml:space="preserve">/d d} erit {e f g l = a k p
              <emph style="super">3</emph>
            z.</s>
            <s xml:id="echoid-s13464" xml:space="preserve">/d d} hinc
              <lb/>
            z = {d d e f g l.</s>
            <s xml:id="echoid-s13465" xml:space="preserve">/a k p
              <emph style="super">3</emph>
            }</s>
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          <head xml:id="echoid-head624" xml:space="preserve">PROPOSITIO XXXIV.</head>
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            <s xml:id="echoid-s13466" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s13467" xml:space="preserve">XIX. </s>
            <s xml:id="echoid-s13468" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s13469" xml:space="preserve">3. </s>
            <s xml:id="echoid-s13470" xml:space="preserve">Dato parallelopipedo A E F D, una cum pon-
              <lb/>
            dere quodam O annexo D. </s>
            <s xml:id="echoid-s13471" xml:space="preserve">datæ longitudini a k & </s>
            <s xml:id="echoid-s13472" xml:space="preserve">latitudini e o
              <lb/>
            applicare aliud parallelopipedum, cujus momentum ex gravitate,
              <lb/>
            ſimul cum pondere P pendente ex k, habeat ad ſuam Cohærentiam
              <lb/>
            rationem eandem, quam A E F D cum pondere O ad ſuam Cohæ-
              <lb/>
            rentiam.</s>
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          <p>
            <s xml:id="echoid-s13474" xml:space="preserve">Vocetur A E a. </s>
            <s xml:id="echoid-s13475" xml:space="preserve">E F b. </s>
            <s xml:id="echoid-s13476" xml:space="preserve">A D d. </s>
            <s xml:id="echoid-s13477" xml:space="preserve">pondus O ſit = o tum </s>
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