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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              <pb o="526" file="0540" n="540" rhead="INTRODUCTIO AD COHÆRENTIAM"/>
            reſiſtentiarum omnium abſolutarum exhibebit: </s>
            <s xml:id="echoid-s12358" xml:space="preserve">Quare ſtatui poteſt;
              <lb/>
            </s>
            <s xml:id="echoid-s12359" xml:space="preserve">Cohærentiam abſolutam repræſentari ope Quadrati A B K C.</s>
            <s xml:id="echoid-s12360" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12361" xml:space="preserve">Sit nunc corpus id ABKC in fig. </s>
            <s xml:id="echoid-s12362" xml:space="preserve">I0. </s>
            <s xml:id="echoid-s12363" xml:space="preserve">affixum parieti D E, ejuſ-
              <lb/>
            que extremo C appendatur pondus F id divulſurum â pariete, tum
              <lb/>
            ſi rumpetur corpus, id fiet in B A, quia pondus F applicatum
              <lb/>
            vecti A C maximam vim exercet in A B, â quo plurimum diſtat:
              <lb/>
            </s>
            <s xml:id="echoid-s12364" xml:space="preserve">ſi deinde rumpatur, fiet rotatio circa punctum A, quamobrem
              <lb/>
            B A C hic poteſt conſiderari inſtar vectis incurvi, cujus bina crura
              <lb/>
            ſunt A B, A C, centrum motus in A, extremo C cruris A C ap-
              <lb/>
            plicatur potentia movens F, ſed omni puncto cruris A B applicatur
              <lb/>
            reſiſtentia ſuperanda, quæ eſt Cohærentia ejus cum pariete D E,
              <lb/>
            ſequitur ergo ex iis, quæ Mechanici de Vecte demonſtrant: </s>
            <s xml:id="echoid-s12365" xml:space="preserve">quo
              <lb/>
            punctum cruris A B eſt propius centro motus A, id eo minus mo-
              <lb/>
            menti reſpectu ponderis F, agentis ſemper ex eadem diſtantia A C,
              <lb/>
            habiturum: </s>
            <s xml:id="echoid-s12366" xml:space="preserve">quare ſi ſumatur punctum H, erit ad æquilibrium, vis re-
              <lb/>
            quiſita in H ad eam in C, uti A C ad A H: </s>
            <s xml:id="echoid-s12367" xml:space="preserve">& </s>
            <s xml:id="echoid-s12368" xml:space="preserve">in B ad eam in C,
              <lb/>
            uti A C ad A B. </s>
            <s xml:id="echoid-s12369" xml:space="preserve">Sed eſt Cohærentia omnium punctorum inter A
              <lb/>
            & </s>
            <s xml:id="echoid-s12370" xml:space="preserve">B æqualis, quare momentum virtutis, quæ agit ex ve-
              <lb/>
            cte A H erit ad eam ex A B, uti A H ad A B, hoc eſt uti
              <lb/>
            diſtantia a centro motus A; </s>
            <s xml:id="echoid-s12371" xml:space="preserve">quia autem ea in B eſt ad vim ſolven-
              <lb/>
            tem in C, uti A C ad A B, hoc eſt æqualis virtuti abſolutæ; </s>
            <s xml:id="echoid-s12372" xml:space="preserve">poteſt
              <lb/>
            vis Cohærentiæ puncti B exponi per BK, æquali B K in fig. </s>
            <s xml:id="echoid-s12373" xml:space="preserve">11,
              <lb/>
            tum ex quolibetpuncto rectæ A B ducatur recta parallela ad B K, & </s>
            <s xml:id="echoid-s12374" xml:space="preserve">
              <lb/>
            æqualis ſuæ diſtantiæ â centro A, hæc exponet vim illius puncti; </s>
            <s xml:id="echoid-s12375" xml:space="preserve">
              <lb/>
            ſumma vero omnium earum rectarum complebit Triangulum B A K,
              <lb/>
            quare ſumma Cohærentiæ lateris A B erit ut hoc Triangulum, quod
              <lb/>
            cum ſit dimidium quadrati B A K C exponentis Cohærentiam abſolu-
              <lb/>
            tam, erit Cohærentia reſpectiva dimidia abſolutæ: </s>
            <s xml:id="echoid-s12376" xml:space="preserve">ſi igitur corpus
              <lb/>
            A B C K in fig. </s>
            <s xml:id="echoid-s12377" xml:space="preserve">11. </s>
            <s xml:id="echoid-s12378" xml:space="preserve">a pondere G librarum 100 rumpatur, poterit trans-
              <lb/>
            verſe in fig. </s>
            <s xml:id="echoid-s12379" xml:space="preserve">10, a pondere F librar. </s>
            <s xml:id="echoid-s12380" xml:space="preserve">50 rumpi Hæc demonſtratio
              <lb/>
            competit omnibus corporibus rigidis, eam non dedit, ſed ſuppo-
              <lb/>
            ſuit Galilæus, eique hypotheſi Propoſitiones ſuas ſuperſtruxit: </s>
            <s xml:id="echoid-s12381" xml:space="preserve">An
              <lb/>
            igitur Cohærentia corporum reſpectiva non eritin hac proportione ad
              <lb/>
            abſolutam? </s>
            <s xml:id="echoid-s12382" xml:space="preserve">Revera, ſi corpora perſecte rigida ſint: </s>
            <s xml:id="echoid-s12383" xml:space="preserve">Verum nullum
              <lb/>
            novimus in hoc Univerſo corpus magnum abſolute rigidum, omnia
              <lb/>
            ſunt flexilia, omnia antequam franguntur, cedunt aliquomodo;</s>
            <s xml:id="echoid-s12384" xml:space="preserve"/>
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