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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[451.] EXPERIMENTUM LXXXVIII.
Page: 530 (516)
[452.] EXPERIMENTUM LXXXIX.
Page: 530 (516)
[453.] EXPERIMENTUM XC.
Page: 531 (517)
[454.] EXPERIMENTUM XCI.
Page: 532 (518)
[455.] EXPERIMENTUM XCII.
Page: 533 (519)
[456.] EXPERIMENTUM XCIII.
Page: 534 (520)
[457.] EXPERIMENTUM XCIV.
Page: 535 (521)
[458.] EXPERIMENTUM XCV.
Page: 535 (521)
[459.] EXPERIMENTUM XCVI.
Page: 535 (521)
[460.] EXPERIMENTUM XCVII.
Page: 536 (522)
[461.] EXPERIMENTUM XCVIII.
Page: 536 (522)
[462.] EXPERIMENTUM XCIX.
Page: 536 (522)
[463.] EXPERIMENTUM C.
Page: 537 (523)
[464.] EXPERIMENTUM CI.
Page: 538 (524)
[465.] EXPERIMENTUM CII.
Page: 538 (524)
[466.] CAPUT QUINTUM. De Cohærentia Corporum Reſpectiva.
Page: 539 (525)
[467.] EXPERIMENTUM CLVI.
Page: 555 (538)
[468.] EXPERIMENTUM CLVII.
Page: 555 (538)
[469.] EXPERIMENTUM CLVIII.
Page: 555 (538)
[470.] EXPERIMENTUM CLIX.
Page: 555 (538)
[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)
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          <head xml:id="echoid-head610" xml:space="preserve">EXPERIMENTUM CLXXXIV.</head>
          <p>
            <s xml:id="echoid-s13030" xml:space="preserve">Hanc Propoſitionem comprobat Experientia; </s>
            <s xml:id="echoid-s13031" xml:space="preserve">nam parallelopi-
              <lb/>
            pedum Quercicum 0, 33 pollic. </s>
            <s xml:id="echoid-s13032" xml:space="preserve">altum 0, 26 pollic. </s>
            <s xml:id="echoid-s13033" xml:space="preserve">latum, geſtavit
              <lb/>
            ex longitudine 9 pollic. </s>
            <s xml:id="echoid-s13034" xml:space="preserve">libras 5. </s>
            <s xml:id="echoid-s13035" xml:space="preserve">verum aliud parallelopipedum 0, 33
              <lb/>
            poll. </s>
            <s xml:id="echoid-s13036" xml:space="preserve">altum, 0, 52 poll. </s>
            <s xml:id="echoid-s13037" xml:space="preserve">latum, geſtavit ex longitudine 9 pollic.
              <lb/>
            </s>
            <s xml:id="echoid-s13038" xml:space="preserve">libras 10, a quibus tamen rumpebatur.</s>
            <s xml:id="echoid-s13039" xml:space="preserve"/>
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        <div xml:id="echoid-div499" type="section" level="1" n="499">
          <head xml:id="echoid-head611" xml:space="preserve">PROPOSITIO XXII.</head>
          <p style="it">
            <s xml:id="echoid-s13040" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s13041" xml:space="preserve">XIX. </s>
            <s xml:id="echoid-s13042" xml:space="preserve">Fig. </s>
            <s xml:id="echoid-s13043" xml:space="preserve">1. </s>
            <s xml:id="echoid-s13044" xml:space="preserve">Si ſint duo parallelopipeda B A C, E A C ho-
              <lb/>
            rizontaliter parieti infixa, ex materia perfecte dura, ſintque ejus-
              <lb/>
            dem latitudinis E D, & </s>
            <s xml:id="echoid-s13045" xml:space="preserve">ejusdem longitudinis A C, ſed diverſæ alti-
              <lb/>
            tudinis B A, E A, erunt potentiæ rumpentes applicatæ ad extre-
              <lb/>
            mum C, in ratione duplicatâ altitudinis A B ad A E.</s>
            <s xml:id="echoid-s13046" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13047" xml:space="preserve">Quia hæc parallelopipeda frangentur in orâ foraminum B A, E A
              <lb/>
            per potentiam in C, fit motus circa A, adeoque poſſunt B A, A C,
              <lb/>
            tum E A, A C conſiderari ut duo vectes incurvi, qoorum hypomo-
              <lb/>
            chlion eſt in A. </s>
            <s xml:id="echoid-s13048" xml:space="preserve">eſt igitur ex natura vectis reſiſtentia in B contra
              <lb/>
            potentiam C, ad reſiſtentiam in E contra eandem potentiam C,
              <lb/>
            uti B A ad E A: </s>
            <s xml:id="echoid-s13049" xml:space="preserve">ſumendo autem alia puncta in A B & </s>
            <s xml:id="echoid-s13050" xml:space="preserve">A E, quæ
              <lb/>
            diſtant ab A, uti A B, ad A E, iis omnibus conveniet eadem demon-
              <lb/>
            ſtratio, quare vis omnium punctorum in A B, erit ad eam puncto-
              <lb/>
            rum in A E, uti eſt tota A B ad totam A E.</s>
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          <p>
            <s xml:id="echoid-s13052" xml:space="preserve">Sed quantitas partium ſolvendarum in A B eſt uti A B, quarum
              <lb/>
            reſiſtentia eſt ut earum numerus, hoc eſt, uti A B: </s>
            <s xml:id="echoid-s13053" xml:space="preserve">Sic quantitas par-
              <lb/>
            tium ſolvendarum in A E, eſt uti A E, quarum reſiſtentia eſt uti
              <lb/>
            A E numerus partium: </s>
            <s xml:id="echoid-s13054" xml:space="preserve">quamobrem tota reſiſtentia in A B eſt ad
              <lb/>
            totam reſiſtentiam in A E, in ratione compoſita ex A B ad A E,
              <lb/>
            conſiderando naturam vectis; </s>
            <s xml:id="echoid-s13055" xml:space="preserve">& </s>
            <s xml:id="echoid-s13056" xml:space="preserve">ex A B ad A E, conſiderando
              <lb/>
            quantitatem partium ſolvendarum; </s>
            <s xml:id="echoid-s13057" xml:space="preserve">hoc eſt uti
              <emph style="ol">AB</emph>
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            ad
              <emph style="ol">AE</emph>
              <emph style="super">q</emph>
            .
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            <s xml:id="echoid-s13058" xml:space="preserve">quare potentiæ frangentes in C, requiruntur, uti
              <emph style="ol">AB</emph>
              <emph style="super">q</emph>
            ad
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              <emph style="ol">AE</emph>
              <emph style="super">q</emph>
            </s>
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