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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        <div xml:id="echoid-div347" type="section" level="1" n="347">
          <p>
            <s xml:id="echoid-s10847" xml:space="preserve">
              <pb o="470" file="0484" n="484" rhead="INTRODUCTIO AD COHÆRENTIAM"/>
            giores magis cohærere brevioribus, quos olim refutavit Galilæus
              <lb/>
            in Dialog. </s>
            <s xml:id="echoid-s10848" xml:space="preserve">Mech. </s>
            <s xml:id="echoid-s10849" xml:space="preserve">2. </s>
            <s xml:id="echoid-s10850" xml:space="preserve">Mariottus in Traité de Mouv. </s>
            <s xml:id="echoid-s10851" xml:space="preserve">des Eaux part.
              <lb/>
            </s>
            <s xml:id="echoid-s10852" xml:space="preserve">5 Diſ. </s>
            <s xml:id="echoid-s10853" xml:space="preserve">2. </s>
            <s xml:id="echoid-s10854" xml:space="preserve">ex Experientia determinavit, Corpora ex ferro, chartâ
              <lb/>
            aliâve materiâ confecta, ſive longa ſive brevia fuerint, æqualibus
              <lb/>
            viribus cohærere. </s>
            <s xml:id="echoid-s10855" xml:space="preserve">Merſennus Lib. </s>
            <s xml:id="echoid-s10856" xml:space="preserve">3. </s>
            <s xml:id="echoid-s10857" xml:space="preserve">prop. </s>
            <s xml:id="echoid-s10858" xml:space="preserve">16 Harmonic. </s>
            <s xml:id="echoid-s10859" xml:space="preserve">etiam
              <lb/>
            hanc quæſtionem agitavit, & </s>
            <s xml:id="echoid-s10860" xml:space="preserve">obſervavit, Experientias frequentes ſibi
              <lb/>
            contradicere, cum aliquando chordæ longæ plus ponderis gerant,
              <lb/>
            quam breves æque craſiæ, aliquando contrarium fiat: </s>
            <s xml:id="echoid-s10861" xml:space="preserve">hoc tamen
              <lb/>
            a parte quadam debiliori fieri recte opinatur; </s>
            <s xml:id="echoid-s10862" xml:space="preserve">unde concludit, ra-
              <lb/>
            tio nulla mihi ſuadet longiorem minus pondus ferre, ſed potius u-
              <lb/>
            traque, tam brevis quam longa, pondus æquale feret, niſi quid
              <lb/>
            aliud contingat.</s>
            <s xml:id="echoid-s10863" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10864" xml:space="preserve">Tentamina plurima feci cum fidibus metallicis clavicymbalo in-
              <lb/>
            ſervientibus, quæ ſive longæ ſive breves fuerint, idem pondus geſta-
              <lb/>
            verunt, funes filave contorta raro in longiſſimo tractu æque craſſa
              <lb/>
            & </s>
            <s xml:id="echoid-s10865" xml:space="preserve">proinde æque fortia fieri poſſunt, hinc Experimenta cum iis in-
              <lb/>
            ſtituta adeo mire variant.</s>
            <s xml:id="echoid-s10866" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div348" type="section" level="1" n="348">
          <head xml:id="echoid-head458" xml:space="preserve">PROPOSITIO V.</head>
          <p style="it">
            <s xml:id="echoid-s10867" xml:space="preserve">Si fibra A B homogenea, pendula ex clavo immobili A perpen-
              <lb/>
            diculariter ad horizontem, gravis fuerit, magnâque donata lon-
              <lb/>
            gitudine, in qua tantundem ſit gravitatis, ac antea pondus B an-
              <lb/>
            nexum extremo habuit, quod fibram rumpebat, nunc etiam â pro-
              <lb/>
            priâ gravitate in ſupremo A frangetur.</s>
            <s xml:id="echoid-s10868" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10869" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s10870" xml:space="preserve">XVIII. </s>
            <s xml:id="echoid-s10871" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s10872" xml:space="preserve">6. </s>
            <s xml:id="echoid-s10873" xml:space="preserve">Agitur enim elementum ſupremum A tanto-
              <lb/>
            pere deorſum agravitate ſuæ fibræ, quam antea â pondere B appenſo;
              <lb/>
            </s>
            <s xml:id="echoid-s10874" xml:space="preserve">quia autem fibræ Cohærentia in utroque caſu eſt eadem, nam non
              <lb/>
            mutatur ſive longa ſive brevis fuerit per Propoſ. </s>
            <s xml:id="echoid-s10875" xml:space="preserve">4. </s>
            <s xml:id="echoid-s10876" xml:space="preserve">adeoque rumpe-
              <lb/>
            tur fibra in A, quando pondus diſtrahens eſt idem, ſive oriundum
              <lb/>
            a propria gravitate, ſive ab inferius annexo alio pondere B.</s>
            <s xml:id="echoid-s10877" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10878" xml:space="preserve">Scholion. </s>
            <s xml:id="echoid-s10879" xml:space="preserve">Hinc funis vel cylindrus corporeus quilibet poteſt eſſe
              <lb/>
            tam longus, ut â proprio frangatur pondere.</s>
            <s xml:id="echoid-s10880" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div349" type="section" level="1" n="349">
          <head xml:id="echoid-head459" xml:space="preserve">PROPOSITIO VI.</head>
          <p style="it">
            <s xml:id="echoid-s10881" xml:space="preserve">Omnia, quæ hactenus demonſtravimus de fibra ſimpliciſſima </s>
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