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

Table of Notes

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              <pb o="345" file="0359" n="359" rhead="DE SPECULIS VITREIS."/>
            nunc verſus alterutrum latus: </s>
            <s xml:id="echoid-s8470" xml:space="preserve">imo hæc curva ſemper deprehenditur
              <lb/>
            in mediâ diſtantiâ inter latera ſe tangentia a c & </s>
            <s xml:id="echoid-s8471" xml:space="preserve">ſuperſiciem Aquæ
              <lb/>
            a b.</s>
            <s xml:id="echoid-s8472" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s8473" xml:space="preserve">Scholium. </s>
            <s xml:id="echoid-s8474" xml:space="preserve">Quando angulus A C B inter ambo ſpecula contentus
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            non valdequam acutus eſt, ſed major evadit, vel obtuſus, non deſcribi-
              <lb/>
            tur ab Aqua accurate Hyperbola, quia tum d f, e g in fig. </s>
            <s xml:id="echoid-s8475" xml:space="preserve">2. </s>
            <s xml:id="echoid-s8476" xml:space="preserve">non
              <lb/>
            poſſunt poni parallela, ſed partim Hyperbola deſcribetur, par-
              <lb/>
            tim alia curva; </s>
            <s xml:id="echoid-s8477" xml:space="preserve">quemadmodum recte notavit. </s>
            <s xml:id="echoid-s8478" xml:space="preserve">Cl. </s>
            <s xml:id="echoid-s8479" xml:space="preserve">Gravezandius.
              <lb/>
            </s>
            <s xml:id="echoid-s8480" xml:space="preserve">Forment enim ſpecula A B, B C angulum acutum, uti in fig. </s>
            <s xml:id="echoid-s8481" xml:space="preserve">12. </s>
            <s xml:id="echoid-s8482" xml:space="preserve">ma-
              <lb/>
            nentibus ſpeculis Aquæ perpendicularibus, etiam Aqua terminabi-
              <lb/>
            tur lineâ hyperbolicâ, cujus aſymptotos una eſt Aquæ ſuperficies,
              <lb/>
            altera habetur erigendo perpendicularem B F ad C B, in puncto B,
              <lb/>
            aſymptotos quæſita erit B E, quæ dividit bifariam F D perpen dicu-
              <lb/>
            larem in puncto quocunque ad B F, & </s>
            <s xml:id="echoid-s8483" xml:space="preserve">terminatam linea B A.</s>
            <s xml:id="echoid-s8484" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s8485" xml:space="preserve">Si D F per punctum D Hyperbolæ tranſeat, B F erit ſemidiame-
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            ter conjugata cum ſemidiametro B D.</s>
            <s xml:id="echoid-s8486" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8487" xml:space="preserve">Licet Hyperbola vitrorum latera juncta ſecet in D, non ibi ad-
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            ſcenſus Aquæ terminatur, ſed ad certam, & </s>
            <s xml:id="echoid-s8488" xml:space="preserve">quidem pro diverſo,
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            quem inter ſe vitra continent, angulo, diverſam A B diſtantiam,
              <lb/>
            ab Hyperbolâ deflectitur curva, adſcenſuſque juxta B A conti-
              <lb/>
            nuatur.</s>
            <s xml:id="echoid-s8489" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8490" xml:space="preserve">Quando angulus A B C eſt obtuſus in fig. </s>
            <s xml:id="echoid-s8491" xml:space="preserve">13. </s>
            <s xml:id="echoid-s8492" xml:space="preserve">idem locum habet,
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            ultra F Hyperbola non continuatur, Aqua tamen ulterius adſcen-
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            dit, ſed alia terminatur curva.</s>
            <s xml:id="echoid-s8493" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8494" xml:space="preserve">Explorandum deinde duxi qualis curva formaretur ab Aqua, ſi
              <lb/>
            una ſuperficies ſpeculi vi attrahente, altera Aquam repellente vir-
              <lb/>
            tute eſſet donata, quam ob cauſam unius ſpeculi ſuperficiem obduxi
              <lb/>
            oleo olivarum, abſterſique id rurſus linteo leviter, ita ut parum olei, & </s>
            <s xml:id="echoid-s8495" xml:space="preserve">
              <lb/>
            æquabiliter inuncti adhæreret: </s>
            <s xml:id="echoid-s8496" xml:space="preserve">hoc ſpeculo juncto cum altero mun-
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            do & </s>
            <s xml:id="echoid-s8497" xml:space="preserve">ſicco, ut ſpatium priſmatis trigoni interciperetur, infe-
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            riores oræ ſuerunt immiſſæ Aquæ; </s>
            <s xml:id="echoid-s8498" xml:space="preserve">quæ ſurſum rapta eſt ut ante,
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            hyperbolam formando: </s>
            <s xml:id="echoid-s8499" xml:space="preserve">Tum ambabus ſuperficiebus utriuſque ſpecu-
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            li oleum tenuiſſime & </s>
            <s xml:id="echoid-s8500" xml:space="preserve">æquabiliter illinivi, inter quas junctas, ut
              <lb/>
            ante, Aqua adſendit non ad minorem quam antea altitudinem,
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            accuratam formando Hyperbolam. </s>
            <s xml:id="echoid-s8501" xml:space="preserve">Tandem alterutrius ſpeculi ſu-
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            perficiem ſupra lampadis detinui flammam, ut fuligo </s>
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