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

< >
[641.] EXPERIMENTUM CCXXVI.
[642.] EXPERIMENTUM CCXXVII.
[643.] EXPERIMENTUM CCXXVIII.
[644.] EXPERIMENTUM CCXXIX.
[645.] EXPERIMENTUM CCXXX.
[646.] EXPERIMENTUM CCXXXI.
[647.] EXPERIMENTUM CCXXXII.
[648.] EXPERIMENTUM CCXXXIII.
[649.] EXPERIMENTUM CCXXXIV.
[650.] EXPERIMENTUM CCXXXV.
[651.] EXPERIMENTUM CCXXXVI.
[652.] EXPERIMENTUM CCXXXVII.
[653.] EXPERIMENTUM CCXXXVIII.
[654.] EXPERIMENTUM CCXXXIX.
[655.] EXPERIMENTUM CCXL.
[656.] EXPERIMENTUM CCXLI.
[657.] EXPERIMENTUM CCXLII.
[658.] EXPERIMENTUM CCXLIII.
[659.] PROPOSITIO CXVIII.
[660.] PROPOSITIO CXIX.
[661.] Regula prima.
[662.] Regula Secunda.
[663.] Regula Tertia.
[664.] TABULA
[665.] CAPUT DECIMUM. Tentamen de corporum Duritie.
[666.] EPHEMERIDES METEOROLOGICÆ ULTRAJECTINÆ ANNI MDCCXXVIII.
[667.] FINIS.
< >
page |< < (628) of 795 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div603" type="section" level="1" n="603">
          <pb o="628" file="0644" n="645" rhead="INTRODUCTIO AD COHÆRENTIAM"/>
        </div>
        <div xml:id="echoid-div604" type="section" level="1" n="604">
          <head xml:id="echoid-head723" xml:space="preserve">PROPOSITIO CII.</head>
          <p style="it">
            <s xml:id="echoid-s15804" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s15805" xml:space="preserve">XXIV. </s>
            <s xml:id="echoid-s15806" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s15807" xml:space="preserve">14. </s>
            <s xml:id="echoid-s15808" xml:space="preserve">Si detur Cylindrus, priſma, vel paralle-
              <lb/>
            lopipedum E F G S, quod uno extremo E F G parieti infixum, ab
              <lb/>
            altero extremo S ferre poteſt pondus ‘P, quod eſt maximum; </s>
            <s xml:id="echoid-s15809" xml:space="preserve">im-
              <lb/>
            poſitum idem ſolidum duobus fulcris N. </s>
            <s xml:id="echoid-s15810" xml:space="preserve">V. </s>
            <s xml:id="echoid-s15811" xml:space="preserve">poterit ex medio X ge-
              <lb/>
            ſtare pondus P quadruplo majus quam ante, non conſiderata ſolidi
              <lb/>
            gravitate.</s>
            <s xml:id="echoid-s15812" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15813" xml:space="preserve">Nam ſi pondus P poſſit ferri ab extremo S ſolidi F S uno ſui ex-
              <lb/>
            tremo parieti infixi, poterit pondus duplo majus quam P geſtari
              <lb/>
            ex X dimidio ipſius G S. </s>
            <s xml:id="echoid-s15814" xml:space="preserve">poſito proinde ſolido ſuper duobus fulcris
              <lb/>
            N, V. </s>
            <s xml:id="echoid-s15815" xml:space="preserve">& </s>
            <s xml:id="echoid-s15816" xml:space="preserve">pondere P in medio X, idem eſt ac ſi duorum vectium
              <lb/>
            E X, V X extremis appenderetur, adeoque cum duplum pondus
              <lb/>
            P ex vecte E X ferri poſſit, itidem duplum pondus ex vecte V X ge-
              <lb/>
            retur, quamobrem quadruplum pondus P ab utroque ſimul ferri
              <lb/>
            poterit ex medio X.</s>
            <s xml:id="echoid-s15817" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15818" xml:space="preserve">Quoniam hæc Propoſitio parum paradoxa videri poſſet, eam
              <lb/>
            lubuit confirmare ſequenti Experimento.</s>
            <s xml:id="echoid-s15819" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div605" type="section" level="1" n="605">
          <head xml:id="echoid-head724" xml:space="preserve">EXPERIMENTUM CCVIII.</head>
          <p>
            <s xml:id="echoid-s15820" xml:space="preserve">Sumtum fuit parallelopipedum Quercicum rectangulum, cujus
              <lb/>
            quodlibet latus erat, o, 21 pollic. </s>
            <s xml:id="echoid-s15821" xml:space="preserve">tum bina fulcra 9 pollicibus a ſe
              <lb/>
            removebantur, in medio appenſum fuit pondus, qûod pedetentim
              <lb/>
            auctum ad libras 6 + unc. </s>
            <s xml:id="echoid-s15822" xml:space="preserve">1. </s>
            <s xml:id="echoid-s15823" xml:space="preserve">+ drachm. </s>
            <s xml:id="echoid-s15824" xml:space="preserve">5 {1/2} valde inflectebat & </s>
            <s xml:id="echoid-s15825" xml:space="preserve">
              <lb/>
            frangebat parallelopipedum: </s>
            <s xml:id="echoid-s15826" xml:space="preserve">deinde partem ejuſdem parallelopipe-
              <lb/>
            di immiſi foramini machinæ divulſoriæ, ut horizontaliter pone-
              <lb/>
            retur, ejus extremo appendi pondus, quod valde quam inflecte-
              <lb/>
            bat, unde removendum fuit continuo, ut ejus directionis linea a
              <lb/>
            foramine ſemper diſtaret 9 pollicibus, ad id requirebatur longitu-
              <lb/>
            do 14 pollieum, cujus extremo pondus 199 drachmarum appen-
              <lb/>
            ſum, parallelopipedum inflexit, ut modo diſtiterit 9 pollicibus a
              <lb/>
            foramine, tumque ſimul diffregit: </s>
            <s xml:id="echoid-s15827" xml:space="preserve">ſed ſunt 195 {3/8} drachmæ pondus
              <lb/>
            ſubquadruplum prioris, quod cenſeri poteſt idem ac 199 drachmæ
              <lb/>
            in Experimento, adeoque penitus confirmatur Propoſitio.</s>
            <s xml:id="echoid-s15828" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>