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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[121.] EXPERIMENTUM XCVIII.
[122.] DE ACU INCLINATORIA.
[123.] EXPERIMENTUM XCIX.
[124.] EXPERIMENTUM. C.
[125.] EXPERIMENTUM CI.
[126.] EXPERIMENTUM CII.
[127.] EXPERIMENTUM. CIII.
[128.] DISSERTATIO
[129.] EXPERIMENTUM CIV.
[130.] EXPERIMENTUM CV.
[131.] EXPERIMENTUM CVI.
[132.] EXPERIMENTUM CVII.
[133.] EXPERIMENTUM CVIII.
[134.] EXPERIMENTUM CIX. DE FABRICA VERSORIORUM.
[135.] CAPUT QUARTUM.
[136.] EXPERIMENTUM CX.
[137.] EXPERIMENTUM CXI.
[138.] EXPERIMENTUM CXII.
[139.] EXPERIMENTUM CXIII.
[140.] EXPERIMENTUM CXIV.
[141.] EXPERIMENTUM CXV.
[142.] EXPERIMENTUM CXVI.
[143.] EXPERIMENTUM CXVII.
[144.] EXPERIMENTUM CXVIII.
[145.] EXPERIMENTUM CXIX.
[146.] EXPERIMENTUM CXX.
[147.] EXPERIMENTUM CXXI.
[148.] EXPERIMENTUM CXXII.
[149.] EXPERIMENTUM CXXIII.
[150.] EXPERIMENTUM CXXIV.
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        <div xml:id="echoid-div126" type="section" level="1" n="126">
          <p>
            <s xml:id="echoid-s4664" xml:space="preserve">
              <pb o="200" file="0214" n="214" rhead="DISSERTATIO"/>
            rectricis Magneticæ, quæ ſtant hoc modo</s>
          </p>
          <p>
            <s xml:id="echoid-s4665" xml:space="preserve">330```. </s>
            <s xml:id="echoid-s4666" xml:space="preserve">ad 19``` {2/10}:</s>
            <s xml:id="echoid-s4667" xml:space="preserve">: ?</s>
            <s xml:id="echoid-s4668" xml:space="preserve">gravitatis, ?</s>
            <s xml:id="echoid-s4669" xml:space="preserve">virtutis directricis. </s>
            <s xml:id="echoid-s4670" xml:space="preserve">Ut ſigna
              <lb/>
            radicalia tollantur, capiantur numerorum quadrata, quæ ſunt,
              <lb/>
            10890000, & </s>
            <s xml:id="echoid-s4671" xml:space="preserve">36864. </s>
            <s xml:id="echoid-s4672" xml:space="preserve">hæc ſunt inter ſe, uti 295 {15120/36864} ad 1. </s>
            <s xml:id="echoid-s4673" xml:space="preserve">quæ
              <lb/>
            exprimunt vires gravitatis & </s>
            <s xml:id="echoid-s4674" xml:space="preserve">directrices Magneticas: </s>
            <s xml:id="echoid-s4675" xml:space="preserve">quare ponere
              <lb/>
            licebit vim gravitatis eſſe ad vim Magneticam directricem ſuper Acu 6
              <lb/>
            pollicum, uti 295 ad 1. </s>
            <s xml:id="echoid-s4676" xml:space="preserve">Eodem modo poteſt ſubduci vis directrix
              <lb/>
            ſuper Acu 4 pollicum, & </s>
            <s xml:id="echoid-s4677" xml:space="preserve">cum gravitate comparari. </s>
            <s xml:id="echoid-s4678" xml:space="preserve">Obſervat Whiſto-
              <lb/>
            nus Acum Inclinatoriam 4 pedum ſuas vibrationes minimas, proin-
              <lb/>
            de æquidiuturnas, abſolvere intra 22 Minuta ſecunda, velocius ſuas
              <lb/>
            abſolvit noſtra Acus, ſed poſitâ ea velocitate, erit visgravitatis ad
              <lb/>
            vim directricem Magneticam uti 600 ad 1 proxime.</s>
            <s xml:id="echoid-s4679" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4680" xml:space="preserve">Ecce iterum miram virtutis directricis proprietatem, qua minus
              <lb/>
            agat in Acus ferreas longiſſimas, magis in breviores: </s>
            <s xml:id="echoid-s4681" xml:space="preserve">ita tamen vis
              <lb/>
            attractrix quoque comparata eſt, quæ proportionaliter major eſt in
              <lb/>
            minoribus quam in grandioribus Magnetibus.</s>
            <s xml:id="echoid-s4682" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4683" xml:space="preserve">Corol. </s>
            <s xml:id="echoid-s4684" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4685" xml:space="preserve">Ponamus Acum pedalem actam fuiſſe vi directrice,
              <lb/>
            quæ ſit ad gravitatem uti 1 ad 300, & </s>
            <s xml:id="echoid-s4686" xml:space="preserve">Acum 4 pedum actam vi di-
              <lb/>
            rectrice, quæ ſit reſpectu gravitatis, uti 1 ad 600, erit vis directrix
              <lb/>
            in utraque Acu, in ratione ſubduplicata longitudinum Acuum reci-
              <lb/>
            procê. </s>
            <s xml:id="echoid-s4687" xml:space="preserve">Nam ſunt longitudines 1, 4, & </s>
            <s xml:id="echoid-s4688" xml:space="preserve">vires directrices 2, 1.</s>
            <s xml:id="echoid-s4689" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4690" xml:space="preserve">Corol. </s>
            <s xml:id="echoid-s4691" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4692" xml:space="preserve">Et ſunt tempora oſcillationum uti longitudines Acuum,
              <lb/>
            poſito enim tempore 5 {1/2} Minutorum ſecundorum, quibus ſemel oſcil-
              <lb/>
            lat Acus unius pedis, & </s>
            <s xml:id="echoid-s4693" xml:space="preserve">22 Minutis ſecundis, quibus oſcillat Acus
              <lb/>
            4 pedum, ſunt 5 {1/2} ad 22:</s>
            <s xml:id="echoid-s4694" xml:space="preserve">: 1, 4. </s>
            <s xml:id="echoid-s4695" xml:space="preserve">hæc omnia erunt modo proxime
              <lb/>
            vera, quia oſcillationum tempora non ſunt æqualia: </s>
            <s xml:id="echoid-s4696" xml:space="preserve">Præterea du-
              <lb/>
            bito an hæc regula vera ſit, quoniam inſtitutis Experimentis cum
              <lb/>
            Acubus horizontalibus deprehendi, quadrata Temporum ab oſcilla-
              <lb/>
            tionibus impenſorum eſſe in ratione compoſita, ex directa longitu-
              <lb/>
            dinis & </s>
            <s xml:id="echoid-s4697" xml:space="preserve">gravitatis Acuum.</s>
            <s xml:id="echoid-s4698" xml:space="preserve"/>
          </p>
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          <head xml:id="echoid-head136" xml:space="preserve">EXPERIMENTUM. CIII.</head>
          <p>
            <s xml:id="echoid-s4699" xml:space="preserve">Acum Inclinatoriam in præcedenti Experimento poſuimus, ut
              <lb/>
            oſcillaret in Meridiano Magnetico; </s>
            <s xml:id="echoid-s4700" xml:space="preserve">nunc immutato Machinæ Tab.
              <lb/>
            </s>
            <s xml:id="echoid-s4701" xml:space="preserve">8. </s>
            <s xml:id="echoid-s4702" xml:space="preserve">Situ, ita Acum direximus, ut oſcillaret in plano ad angulos </s>
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