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-div445" type="section" level="1" n="445">
          <pb o="513" file="0527" n="527" rhead="CORPORUM FIRMORUM."/>
          <p>
            <s xml:id="echoid-s12051" xml:space="preserve">Angulo c b d increſcente, decreſcit angulus r s q, & </s>
            <s xml:id="echoid-s12052" xml:space="preserve">ideo de-
              <lb/>
            creſcit longirudo lineæ r q, quæ exprimit rationem ponderis P: </s>
            <s xml:id="echoid-s12053" xml:space="preserve">ſed
              <lb/>
            angulo c b d increſcente, repræſentatur funis validius intortus; </s>
            <s xml:id="echoid-s12054" xml:space="preserve">qui-
              <lb/>
            cunque enim duo fila ſecum invicem torquebit, manifeſto obſer-
              <lb/>
            vabit, in initio angulum c b d eſſe parvum, eumque ſemper augeri,
              <lb/>
            quo fila vehementius intorquentur.</s>
            <s xml:id="echoid-s12055" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12056" xml:space="preserve">Ex hac demonſtratione manifeſto patet, quare funis contorſione
              <lb/>
            fibrarum factus, minus virium ad gerendum pondus habeat, quam
              <lb/>
            fibræ eum componentes, ſeorſim ſumtæ, habent: </s>
            <s xml:id="echoid-s12057" xml:space="preserve">tum 2°. </s>
            <s xml:id="echoid-s12058" xml:space="preserve">quare ro-
              <lb/>
            bur funis eo plus decreſcat, quo fibris vehementius intortis con-
              <lb/>
            ſtat: </s>
            <s xml:id="echoid-s12059" xml:space="preserve">Hæc omnia nunc nonnullis Experimentis confirmabo.</s>
            <s xml:id="echoid-s12060" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div446" type="section" level="1" n="446">
          <head xml:id="echoid-head558" xml:space="preserve">EXPERIMENTUM LXXXIII.</head>
          <p>
            <s xml:id="echoid-s12061" xml:space="preserve">Sumſi funiculum tenuem, diametri 0, 03 pollicis Rhenolandici,
              <lb/>
            cui tres quatuorve ulnas longo appendere potui libras 12 {1/2}, ſed a li-
              <lb/>
            bris 13 rumpebatur: </s>
            <s xml:id="echoid-s12062" xml:space="preserve">ambo igitur fragmenta ſuſtinere potuerunt li-
              <lb/>
            bras 12 {1/2}. </s>
            <s xml:id="echoid-s12063" xml:space="preserve">Hæc conjuncta parum intorſi, ut funiculum acceperim
              <lb/>
            ex ambobus compoſitum, cujus extremitati appendi modo potue-
              <lb/>
            runt libræ 24. </s>
            <s xml:id="echoid-s12064" xml:space="preserve">Conatus fui menſurare angulum c b e in fig. </s>
            <s xml:id="echoid-s12065" xml:space="preserve">2. </s>
            <s xml:id="echoid-s12066" xml:space="preserve">quem
              <lb/>
            filum cum alio contorto conſtituebat, eum deprehendi angulum
              <lb/>
            16 {1/2} graduum, quare angulus c b d. </s>
            <s xml:id="echoid-s12067" xml:space="preserve">erat 33 graduum, tum vide fig. </s>
            <s xml:id="echoid-s12068" xml:space="preserve">4,
              <lb/>
            ambo ſimilia fila c b, b d, alligavi duobus clavis c & </s>
            <s xml:id="echoid-s12069" xml:space="preserve">d, & </s>
            <s xml:id="echoid-s12070" xml:space="preserve">ex me-
              <lb/>
            dio b appendi pondus pedetentim auctum uſque ad 24. </s>
            <s xml:id="echoid-s12071" xml:space="preserve">libras, obſer-
              <lb/>
            vans, ut angulus c b d etiam foret 33 graduum, elapſoque horæ minuto,
              <lb/>
            filum c b d diffractum fuit: </s>
            <s xml:id="echoid-s12072" xml:space="preserve">ſi ambo fila non intorta fuiſſent, tu-
              <lb/>
            liſſent ad minimum 25 libras, adeoque intorta evadunt gerendis
              <lb/>
            ponderibus ineptiora: </s>
            <s xml:id="echoid-s12073" xml:space="preserve">Cum autem angulus c b d eſt 33 graduum, eſt
              <lb/>
            in fig. </s>
            <s xml:id="echoid-s12074" xml:space="preserve">3. </s>
            <s xml:id="echoid-s12075" xml:space="preserve">angulus r s q graduum 147: </s>
            <s xml:id="echoid-s12076" xml:space="preserve">ponamus latus r s = s q ſingulum
              <lb/>
            eſſe 12 {1/2} partium, invenietur per regulas Trigonometriæ latus r q
              <lb/>
            24 partium, qui numerus exprimit pondus P, quod funem dif-
              <lb/>
            fregit.</s>
            <s xml:id="echoid-s12077" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12078" xml:space="preserve">Reaumurius filum ſumſit longum, cui appendit pedetentim li-
              <lb/>
            bras 10, a quibus rumpebatur: </s>
            <s xml:id="echoid-s12079" xml:space="preserve">ambo fragmenta in unum contor-
              <lb/>
            ſit mediocriter, tum vero appendere huic novo funi tantum po-
              <lb/>
            tuit libras 16; </s>
            <s xml:id="echoid-s12080" xml:space="preserve">nam a pluribus frangebatur: </s>
            <s xml:id="echoid-s12081" xml:space="preserve">hæc fila non </s>
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