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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          <p>
            <s xml:id="echoid-s8427" xml:space="preserve">
              <pb o="344" file="0358" n="358" rhead="DISSERTATIO"/>
            fig. </s>
            <s xml:id="echoid-s8428" xml:space="preserve">3. </s>
            <s xml:id="echoid-s8429" xml:space="preserve">d e C k, h i m C ſint æqualia, quæ continentur inter paral-
              <lb/>
            lelas aſymtotis AC, BC, quare etiam linea curva in Experimen-
              <lb/>
            tis notata eſt Hyperbola.</s>
            <s xml:id="echoid-s8430" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8431" xml:space="preserve">Videamus an Experimenta reſpondeant demonſtrationi, in Ta-
              <lb/>
            bula prima obſervabitur anomalia hinc inde, quæ provenit, quia
              <lb/>
            non ſatis accnrate obſervare poſſumus altitudinem, videndo per craſ-
              <lb/>
            ſitiem vitri; </s>
            <s xml:id="echoid-s8432" xml:space="preserve">2°. </s>
            <s xml:id="echoid-s8433" xml:space="preserve">nec accurate ponere poſſumus ſpecula perpendicu-
              <lb/>
            laria, 3° nec hæc ſuperficies tam perfecte planas habentac poſtulatur.
              <lb/>
            </s>
            <s xml:id="echoid-s8434" xml:space="preserve">4° accedit puritas vel impuritas vitri, ut & </s>
            <s xml:id="echoid-s8435" xml:space="preserve">Aquæ & </s>
            <s xml:id="echoid-s8436" xml:space="preserve">plurima alia: </s>
            <s xml:id="echoid-s8437" xml:space="preserve">ve-
              <lb/>
            rum tabula ſecunda melius reſpondet calculo; </s>
            <s xml:id="echoid-s8438" xml:space="preserve">nam ad diſtantiam
              <lb/>
            6 pollicum eſt altitudo = 2. </s>
            <s xml:id="echoid-s8439" xml:space="preserve">ad diſtantiam. </s>
            <s xml:id="echoid-s8440" xml:space="preserve">3 pollicum eſt altitudo
              <lb/>
            = 4 {1/4} eſt exceſſus hic = {3/4}. </s>
            <s xml:id="echoid-s8441" xml:space="preserve">ſupra calculum: </s>
            <s xml:id="echoid-s8442" xml:space="preserve">ad diſtantiam 1 {1/2} pol-
              <lb/>
            lic. </s>
            <s xml:id="echoid-s8443" xml:space="preserve">eſt altitudo = 10, quæ magnitudo eſt paulum plus quam du-
              <lb/>
            plo major quam 4 {3/4}: </s>
            <s xml:id="echoid-s8444" xml:space="preserve">& </s>
            <s xml:id="echoid-s8445" xml:space="preserve">ad diſtantiam {3/4} pollic. </s>
            <s xml:id="echoid-s8446" xml:space="preserve">= 19. </s>
            <s xml:id="echoid-s8447" xml:space="preserve">ubi eſt par-
              <lb/>
            Aus defectus, cum debuiſſet eſſe = 20. </s>
            <s xml:id="echoid-s8448" xml:space="preserve">verum ſatis hæc reſpon-
              <lb/>
            dent calculo. </s>
            <s xml:id="echoid-s8449" xml:space="preserve">ita ad diſtantiam 2 pollic. </s>
            <s xml:id="echoid-s8450" xml:space="preserve">eſt altitudo = 7 {1/2} lineis: </s>
            <s xml:id="echoid-s8451" xml:space="preserve">
              <lb/>
            ad diſtantiam duplo minorem eſt altitudo = 15. </s>
            <s xml:id="echoid-s8452" xml:space="preserve">duplo major, & </s>
            <s xml:id="echoid-s8453" xml:space="preserve">
              <lb/>
            ad {1/2} pollic: </s>
            <s xml:id="echoid-s8454" xml:space="preserve">eſt = 28, debuerat eſſe = 30 lineis, ut foret du-
              <lb/>
            plo major, verum hæc obſervata ſatis accurate reſpondent, ut cur-
              <lb/>
            va deſcripta poſſit haberi pro Hyperbola: </s>
            <s xml:id="echoid-s8455" xml:space="preserve">cujus ope igitur intelligi
              <lb/>
            & </s>
            <s xml:id="echoid-s8456" xml:space="preserve">demonſtrari poſſunt ſequentia obſervata, deſcripta ab Hauksbejo
              <lb/>
            in appendice, & </s>
            <s xml:id="echoid-s8457" xml:space="preserve">in Experimento XXIII.</s>
            <s xml:id="echoid-s8458" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8459" xml:space="preserve">Sint enim eadem ſpecula, quorum linea contactus ſit a c in om-
              <lb/>
            nibus caſibus, hæc ſubmergantur ſub Aqua uſque ad a b, ſub co
              <lb/>
            ſitu, quem figuræ 4, 5, 6, 7, 8, 10. </s>
            <s xml:id="echoid-s8460" xml:space="preserve">repræſentant, deſcribentur
              <lb/>
            curvæ d d hyperbolicæ, quarum aſymptotæ erunt a b, a c. </s>
            <s xml:id="echoid-s8461" xml:space="preserve">Et
              <lb/>
            ſi duo plana circularia fuerint, uti fig. </s>
            <s xml:id="echoid-s8462" xml:space="preserve">11. </s>
            <s xml:id="echoid-s8463" xml:space="preserve">repræſentat, erit iterum
              <lb/>
            Hyperbola d d, & </s>
            <s xml:id="echoid-s8464" xml:space="preserve">aſymptotæ a b, a c quarum una tangit circu-
              <lb/>
            lum in puncto c.</s>
            <s xml:id="echoid-s8465" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8466" xml:space="preserve">Quando latera ſe tangentia ſunt ſurſum poſita, parallela ſuperfi-
              <lb/>
            ciei Aquæ, veluti in fig. </s>
            <s xml:id="echoid-s8467" xml:space="preserve">9. </s>
            <s xml:id="echoid-s8468" xml:space="preserve">& </s>
            <s xml:id="echoid-s8469" xml:space="preserve">omnino ſub Aqua ſubmerſa, tum
              <lb/>
            extrahantur ſpecula lente in eadem poſitione, donec pondus Aquæ
              <lb/>
            inter plana ſuperet vim attractionis ſpeculorum, generabuntur duæ
              <lb/>
            curvæ, una â quolibet latere planorum, quæ ſe aperiunt, ſibique
              <lb/>
            occurruntin medio, uti figura repræſentat, ibi vero uniuntur forman-
              <lb/>
            do figuram, quam linea punctata refert, quæ nunc eſt in </s>
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