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-s11983" xml:space="preserve">
              <pb o="511" file="0525" n="525" rhead="CORPORUM FIRMORUM."/>
            filamenti ſoluti & </s>
            <s xml:id="echoid-s11984" xml:space="preserve">recti, tractique ſecundum ſuam longitudinem:
              <lb/>
            </s>
            <s xml:id="echoid-s11985" xml:space="preserve">Fateor hanc differentiam ſuperficiei exterioris & </s>
            <s xml:id="echoid-s11986" xml:space="preserve">interioris ſili in-
              <lb/>
            torti non eſſe magnam in tenui filo, ſed magna eſt in fune craſ-
              <lb/>
            ſo, qui propterea minus ponderis proportionaliter ſuſtinere valet,
              <lb/>
            quam tenuior, quemadmodum ex Experimentis infra deſcribendis
              <lb/>
            liquebit.</s>
            <s xml:id="echoid-s11987" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11988" xml:space="preserve">2°. </s>
            <s xml:id="echoid-s11989" xml:space="preserve">Filamenta quæcunque ſive Lini, Cannabina, Lanæ, alia-
              <lb/>
            que inæqualis ſunt craſſitiei; </s>
            <s xml:id="echoid-s11990" xml:space="preserve">plura nunc contorqueantur ſimul
              <lb/>
            formentque ſpiram, tum fieri nequit, quin in nonnullis locis par-
              <lb/>
            tes craſſiores plus tendantur, quam tenuiores; </s>
            <s xml:id="echoid-s11991" xml:space="preserve">ſit enim in Tab.
              <lb/>
            </s>
            <s xml:id="echoid-s11992" xml:space="preserve">XXIIII. </s>
            <s xml:id="echoid-s11993" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s11994" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11995" xml:space="preserve">cylindrus, circa quem filum tenuius a, b, c, d, e, f,
              <lb/>
            ducatur, & </s>
            <s xml:id="echoid-s11996" xml:space="preserve">filum craſſius h, g, k, l, m: </s>
            <s xml:id="echoid-s11997" xml:space="preserve">tendentur hujus partes
              <lb/>
            tanto plus quam alterius fili, quanto circumferentia g, h, k ma-
              <lb/>
            j
              <unsure/>
            or eſt quam circumferentia a, b, c, d. </s>
            <s xml:id="echoid-s11998" xml:space="preserve">Fuerint vero æque cohæ-
              <lb/>
            rentes craſſiores tenuioreſque partes; </s>
            <s xml:id="echoid-s11999" xml:space="preserve">tum quia craſſiora loca non
              <lb/>
            poſſunt intorqueri, quin plus tendantur quam tenuiora, orietur Co-
              <lb/>
            hærentia filamentorum inæqualis, poteruntque minus cedere craſ-
              <lb/>
            ſiora, vi frangente aut tendente ipſis applicata, quam tenuiora: </s>
            <s xml:id="echoid-s12000" xml:space="preserve">unde
              <lb/>
            ob inæqualem filamentorum tenſionem facilius rumpetur funis, nec
              <lb/>
            tantundem ponderis geret, quam ſingula filamenta libere ſeorſim
              <lb/>
            poſita geſtaſſent.</s>
            <s xml:id="echoid-s12001" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12002" xml:space="preserve">3°, Non poſſunt filamenta contorqueri, quin ſimul tendantur
              <lb/>
            partes, haud aliter ac ſi pondus appenſum foret; </s>
            <s xml:id="echoid-s12003" xml:space="preserve">quare non mirum
              <lb/>
            ſi funis non tantum ponderis gerere queat, quam ſingula filamenta
              <lb/>
            ſeorſum poſita ferunt: </s>
            <s xml:id="echoid-s12004" xml:space="preserve">quippe ponderi appenſo addendum eſt
              <lb/>
            quaſi pondus, quod æquale eſt tenſioni, ut fiat ponderum ſumma,
              <lb/>
            quæ â ſolutis filis geruntur: </s>
            <s xml:id="echoid-s12005" xml:space="preserve">Hinc quando fila valde contorquen-
              <lb/>
            tur, ut inde funis durior fiat, tantopere hæc tenduntur, ut modo
              <lb/>
            exiguum pondus appenſum ferre queant: </s>
            <s xml:id="echoid-s12006" xml:space="preserve">imo poteſt funis craſſus
              <lb/>
            tam valide intorqueri, ut vel inter contorquendum frangatur, vel
              <lb/>
            ſaltem âb exiguo appenſo pondere: </s>
            <s xml:id="echoid-s12007" xml:space="preserve">Quamobrem reſtiarii in eo ar-
              <lb/>
            tificium ponunt, ut craſſas compoſituri rudentes ex tenuibus filis
              <lb/>
            diverſæ ſpeciei, primum tria quatuorve fila tenuiora intorqueant
              <lb/>
            dextrorſum; </s>
            <s xml:id="echoid-s12008" xml:space="preserve">tum tria quatuorve ejuſmodi ſimul ſumta intorqueant
              <lb/>
            ſiniſtrorſum; </s>
            <s xml:id="echoid-s12009" xml:space="preserve">atque iterum tria quatuorve hujus generis ſimul con-
              <lb/>
            torqueant dextrorſum, ita enim relaxantur quaſi perpetuo </s>
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