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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            <s xml:id="echoid-s12506" xml:space="preserve">
              <pb o="532" file="0546" n="546" rhead="INTRODUCTIO AD COHÆRENTIAM"/>
            ſur. </s>
            <s xml:id="echoid-s12507" xml:space="preserve">des Surfaces Sect. </s>
            <s xml:id="echoid-s12508" xml:space="preserve">1. </s>
            <s xml:id="echoid-s12509" xml:space="preserve">§. </s>
            <s xml:id="echoid-s12510" xml:space="preserve">23. </s>
            <s xml:id="echoid-s12511" xml:space="preserve">Hayes Treatize of Fluxions Sect. </s>
            <s xml:id="echoid-s12512" xml:space="preserve">4.
              <lb/>
            </s>
            <s xml:id="echoid-s12513" xml:space="preserve">§. </s>
            <s xml:id="echoid-s12514" xml:space="preserve">1. </s>
            <s xml:id="echoid-s12515" xml:space="preserve">Corol. </s>
            <s xml:id="echoid-s12516" xml:space="preserve">& </s>
            <s xml:id="echoid-s12517" xml:space="preserve">apud alios.</s>
            <s xml:id="echoid-s12518" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12519" xml:space="preserve">His licet demonſtratis, quanta ſutura ſit diverſorum corporum
              <lb/>
            Cohærentia reſpectiva ad abſolutam determinari tantum poterit ex
              <lb/>
            Experientia, quia a priori ignoramus, an in hoc corpore, quod
              <lb/>
            voco A, fibræ elongentur in ratione tenſionum, uti Leibnitſius
              <lb/>
            ſuppoſuit, an in ratione ſubduplicata, ſubtriplicata, aliave quali-
              <lb/>
            bet tenſionum ſuarum; </s>
            <s xml:id="echoid-s12520" xml:space="preserve">ſi id a priori cognoſceremus, etiam ope
              <lb/>
            explicatæ methodi extemplo reſpectivam Cohærentiam ex abſoluta
              <lb/>
            determinaremus, verum id Experientia prius oſtendere debet, ejus
              <lb/>
            ope cognita Cohærentia abſoluta & </s>
            <s xml:id="echoid-s12521" xml:space="preserve">reſpectiva, cognoſcetur ex iis,
              <lb/>
            quæ ſupra demonſtravimus, in quanam proportione ſe habeant vi-
              <lb/>
            res retrotrahentes fibrarum in variis elongationibus oriundis ex ten-
              <lb/>
            ſione.</s>
            <s xml:id="echoid-s12522" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12523" xml:space="preserve">Sit enim Cohærentia abſoluta alicujus corporis ad reſpectivam
              <lb/>
            uti 6 ad 1, tum erit hæc proprietas virium retrotrahentium in fi-
              <lb/>
            bris, ut ſint in ratione ſurde ſolida elongationum: </s>
            <s xml:id="echoid-s12524" xml:space="preserve">vidimus enim ſi
              <lb/>
            fibræ habeant vires retrotrahentes in ratione elongationum ſurde
              <lb/>
            ſolida, abſolutam Cohærentiam fore ad reſpectivam, uti 6 ad 1.</s>
            <s xml:id="echoid-s12525" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12526" xml:space="preserve">Poſuimus in datâ demonſtratione omnes fibras totius lateris AHB
              <lb/>
            elongari & </s>
            <s xml:id="echoid-s12527" xml:space="preserve">diſtrahi, verum ſi accuratius attendamus, obſervabimus
              <lb/>
            in inflexione corporis ab appenſo pondere fibras partim extrahi,
              <lb/>
            partim comprimi: </s>
            <s xml:id="echoid-s12528" xml:space="preserve">Sit enim corpus Tab. </s>
            <s xml:id="echoid-s12529" xml:space="preserve">XXIV. </s>
            <s xml:id="echoid-s12530" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s12531" xml:space="preserve">13. </s>
            <s xml:id="echoid-s12532" xml:space="preserve">ABCD,
              <lb/>
            primo horrizontale, atque infixum parieti AB, tum extremo CD
              <lb/>
            appendatur pondus P, quo deprimatur & </s>
            <s xml:id="echoid-s12533" xml:space="preserve">elongetur, atque fibra B
              <lb/>
            recedat uſque in F, evadatque corpus FAZX, erunt fibræ inter-
              <lb/>
            mediæ BAF quædam tenſæ: </s>
            <s xml:id="echoid-s12534" xml:space="preserve">ſed ſi hoc corpus ita ſibi relinquere-
              <lb/>
            tur, extenſione BF manente, & </s>
            <s xml:id="echoid-s12535" xml:space="preserve">concipiatur paries BA penetrabi-
              <lb/>
            lis, circa punctum F tanquam centrum converteretur deſcenden-
              <lb/>
            do uſque in ſitum GFXZ, adeoque parietem penetraſſet quanti-
              <lb/>
            tate Trianguli AGS, cum vero paries BA ponitur impenetrabilis,
              <lb/>
            corpus eum premit, quantum ingreſſum fuiſſet, adeoque tantope-
              <lb/>
            re comprimit fibras contra parietem.</s>
            <s xml:id="echoid-s12536" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s12537" xml:space="preserve">Ex quibus liquet, corporis ABCD, quo tempore id â pondere
              <lb/>
            P deprimitur, & </s>
            <s xml:id="echoid-s12538" xml:space="preserve">fibræ ſuperiores extenduntur, fibras inferiores
              <lb/>
            comprimi.</s>
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