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-s12615" xml:space="preserve">
              <pb o="536" file="0550" n="550" rhead="INTRODUCTIO ad COHÆRENTIAM"/>
            habuerunt, nova 11, vel 12. </s>
            <s xml:id="echoid-s12616" xml:space="preserve">pollicum: </s>
            <s xml:id="echoid-s12617" xml:space="preserve">immiſſa fuerunt foraminibus
              <lb/>
            Q & </s>
            <s xml:id="echoid-s12618" xml:space="preserve">R machinæ divulſoriæ ad profunditatem unius pollicis, adeo
              <lb/>
            ut eminerent illa 5, hæc 10, vel 11 poll. </s>
            <s xml:id="echoid-s12619" xml:space="preserve">diameter Cylindrorum fuit
              <lb/>
            eadem ac illorum qui ſecundum longitudinem explorati fuerunt, ple-
              <lb/>
            rumqueo, 25 pollicis: </s>
            <s xml:id="echoid-s12620" xml:space="preserve">latus quodlibet parallelopipedorum fuit exacte
              <lb/>
            idem quod ſupra examinatum erat: </s>
            <s xml:id="echoid-s12621" xml:space="preserve">pondus ad hæc frangenda uſurpa-
              <lb/>
            tum immittebatur patinæ lente & </s>
            <s xml:id="echoid-s12622" xml:space="preserve">prudenter, conſtans tantum ex
              <lb/>
            drachmis, ne Experimentum turbaretur a motu gravioris ponderis unâ
              <lb/>
            vice ſimul immiſſi: </s>
            <s xml:id="echoid-s12623" xml:space="preserve">patina funi tenui in annulum convoluto, & </s>
            <s xml:id="echoid-s12624" xml:space="preserve">Li-
              <lb/>
            gnum examinandum ambienti prope caput, alligata fuit, quo modo
              <lb/>
            revera accuratiſſime ponderis diſtantia a foramine conſpici poterat
              <lb/>
            contra Tabulam quadratam modo deſcriptam.</s>
            <s xml:id="echoid-s12625" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12626" xml:space="preserve">Ut quam clariſſime Experimenta omnia intelligantur, unum ad-
              <lb/>
            notabo; </s>
            <s xml:id="echoid-s12627" xml:space="preserve">omnia eodem modo inſtituta fuerunt, quæ brevitatis er-
              <lb/>
            go in Tabellâ propoſui, ne repetere eadem ſæpe tenear.</s>
            <s xml:id="echoid-s12628" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12629" xml:space="preserve">Cylindrus Tiliæ foramini Q Machinæ divulſoriæ immiſſus, 10
              <lb/>
            pollicibus prominebat: </s>
            <s xml:id="echoid-s12630" xml:space="preserve">patinæ ex fune prope caput cylindri pen-
              <lb/>
            denti injiciebantur pedetentim libræ 2 Amſtelodamenſes, patina erat
              <lb/>
            libræ{1/2} a quibus inflexus cylindrus deſcendit, ita ut ponderis directio
              <lb/>
            tantum 7 pollicibus a foramine diſtaret, tum ruptus fuit ad ipſam
              <lb/>
            foraminis oram: </s>
            <s xml:id="echoid-s12631" xml:space="preserve">gravitatis centri in cylindro & </s>
            <s xml:id="echoid-s12632" xml:space="preserve">capite habita
              <lb/>
            fuit ratio, idemque momentum habuit, ac ſi ſublata gravitate pon-
              <lb/>
            dus duarum drachmarum Lanci injectum fuiſſet.</s>
            <s xml:id="echoid-s12633" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12634" xml:space="preserve">Comparetur hoc Experimentum cum primo Capitis II. </s>
            <s xml:id="echoid-s12635" xml:space="preserve">in quo idem
              <lb/>
            Cylindrus ſecundum longitudinem exploratus ſuſtinuit libras 720
              <lb/>
            antequam rumpebatur: </s>
            <s xml:id="echoid-s12636" xml:space="preserve">ſed obſervetur ex natura vectis, quantum
              <lb/>
            momenti exercuerit pondus librar. </s>
            <s xml:id="echoid-s12637" xml:space="preserve">2 {1/2} (similar drachmar. </s>
            <s xml:id="echoid-s12638" xml:space="preserve">2. </s>
            <s xml:id="echoid-s12639" xml:space="preserve">& </s>
            <s xml:id="echoid-s12640" xml:space="preserve">quodnam
              <lb/>
            pondus ad diſtantiam diametro cylindri æqualem â foramine idem
              <lb/>
            momentum exercuiſſet: </s>
            <s xml:id="echoid-s12641" xml:space="preserve">quia libræ 2 {1/2} & </s>
            <s xml:id="echoid-s12642" xml:space="preserve">drachmæ 2. </s>
            <s xml:id="echoid-s12643" xml:space="preserve">diſtiterint 28
              <lb/>
            diametris cylindri a foramine, pondus 28 majus idem momentum
              <lb/>
            habuiſſet ad diſtantiam diametro æqualem, quod igitur foret li-
              <lb/>
            brar. </s>
            <s xml:id="echoid-s12644" xml:space="preserve">70 {7/16}. </s>
            <s xml:id="echoid-s12645" xml:space="preserve">quemadmodum hoc pondus 70 {7/16}. </s>
            <s xml:id="echoid-s12646" xml:space="preserve">ad libras 720, ita eſt
              <lb/>
            Cohærentia reſpectiva ad abſolutam, ſed hæ ſunt uti 1 ad 10 {259/1127}.
              <lb/>
            </s>
            <s xml:id="echoid-s12647" xml:space="preserve">Quare ita ſe habent memoratæ Cohærentiæ, valde abludentes â
              <lb/>
            proportione Galilæanâ & </s>
            <s xml:id="echoid-s12648" xml:space="preserve">Mariottiana, ſecundum quas debuiſſet da-
              <lb/>
            ri uti 1 ad 2. </s>
            <s xml:id="echoid-s12649" xml:space="preserve">vel 1 ad 3, aut 1 ad 4.</s>
            <s xml:id="echoid-s12650" xml:space="preserve"/>
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