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-s1205" xml:space="preserve">
              <pb o="53" file="0067" n="67" rhead="DE MAGNETE."/>
            tium, uti diſtantiæ 9 pollicum reſpondet Sinus 2334. </s>
            <s xml:id="echoid-s1206" xml:space="preserve">& </s>
            <s xml:id="echoid-s1207" xml:space="preserve">diſtantiæ
              <lb/>
            18 pollicum Sinus 588. </s>
            <s xml:id="echoid-s1208" xml:space="preserve">Sunt hi numeri Sinuum ad ſe invicem accu-
              <lb/>
            rate, uti 3 {285/294} ad 1. </s>
            <s xml:id="echoid-s1209" xml:space="preserve">ſive circiter uti 4 ad 1 hoc eſt in ratione inverſa dupli-
              <lb/>
            cata diſtantiarum. </s>
            <s xml:id="echoid-s1210" xml:space="preserve">Sinus appoſiti diſtantiis 12 & </s>
            <s xml:id="echoid-s1211" xml:space="preserve">24, ſunt 1132 & </s>
            <s xml:id="echoid-s1212" xml:space="preserve">262, qui
              <lb/>
            ſunt inter ſe uti 4 {42/131} ad 1, adeoque hi ſunt in majori proportione ad ſe in-
              <lb/>
            vicem, quam ſuperiores Sinus appoſiti diſtantiis 15 & </s>
            <s xml:id="echoid-s1213" xml:space="preserve">30 pollicum, ſunt
              <lb/>
            848 & </s>
            <s xml:id="echoid-s1214" xml:space="preserve">131, qui ſunt inter ſe. </s>
            <s xml:id="echoid-s1215" xml:space="preserve">uti 6 {62/131} ad 1. </s>
            <s xml:id="echoid-s1216" xml:space="preserve">Sinus reſpondentes di-
              <lb/>
            ſtantiis 18 & </s>
            <s xml:id="echoid-s1217" xml:space="preserve">36, ſunt 588 & </s>
            <s xml:id="echoid-s1218" xml:space="preserve">109. </s>
            <s xml:id="echoid-s1219" xml:space="preserve">ſunt uti 5 {43/109} ad 1. </s>
            <s xml:id="echoid-s1220" xml:space="preserve">Sinus appoſi-
              <lb/>
            ti diſtantiis 21 & </s>
            <s xml:id="echoid-s1221" xml:space="preserve">42 pollicibus, ſunt 392 & </s>
            <s xml:id="echoid-s1222" xml:space="preserve">65, quorum proportio
              <lb/>
            eſt 6 {2/65} ad 1.</s>
            <s xml:id="echoid-s1223" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1224" xml:space="preserve">Ex quibus mihi colligendum videtur proportionem dari valde in-
              <lb/>
            conſtantem, quæ aliquando eſſet minor quam duplicata, aliquando
              <lb/>
            paulum major, aliquando multo major duplicata. </s>
            <s xml:id="echoid-s1225" xml:space="preserve">Poſuit nihilo-
              <lb/>
            minus Whiſtonus rationem hic obtinere Sesquiduplicatam, quoniam
              <lb/>
            in Experimentis quædam laxitas Geometrica habenda eſt, id con-
              <lb/>
            cedendum omnino, niſi laxitas nimium extendatur, quod hic
              <lb/>
            fieri videtur, nimia enim intercedit diſcrepantia, cum Experimenta
              <lb/>
            in uno caſu dent proportionem uti 3 {285/294} ad 1. </s>
            <s xml:id="echoid-s1226" xml:space="preserve">& </s>
            <s xml:id="echoid-s1227" xml:space="preserve">in altero 6 {62/131} ad 1.
              <lb/>
            </s>
            <s xml:id="echoid-s1228" xml:space="preserve">ut hæ ambæ pro unâ eademque proportione habeantur: </s>
            <s xml:id="echoid-s1229" xml:space="preserve">Idcirco non
              <lb/>
            video, cur non potius fateamur nullam conſtantem hic dari propor-
              <lb/>
            tionem, quam tam mirifice intorquendo Experimenta, ut propor-
              <lb/>
            tionem inveniamus, ubi eam Natura negat.</s>
            <s xml:id="echoid-s1230" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1231" xml:space="preserve">Verum in hac methodo explorandi vires Magneticas difficultas
              <lb/>
            quædam latet. </s>
            <s xml:id="echoid-s1232" xml:space="preserve">Agitur Magnes aut Acus nautica viribus duabus a
              <lb/>
            ſe diſtinctis, una attractrice, aliâ directrice verſus quoſdam in
              <lb/>
            Terrâ polos: </s>
            <s xml:id="echoid-s1233" xml:space="preserve">vi directrice Acus in hoc Experimento quoque dirigitur
              <lb/>
            ad polos. </s>
            <s xml:id="echoid-s1234" xml:space="preserve">Cum Magnes Acui opponitur ad diverſas diſtantias, eamque
              <lb/>
            a directione priori deflectit, tum vi ſua Attractrice agit in vim di-
              <lb/>
            rectricem Acus; </s>
            <s xml:id="echoid-s1235" xml:space="preserve">atque eam deflectit, donec vis directrix, in eam ob-
              <lb/>
            liquam poſitionem acus agens, æquilibrium inveniat cum vi attra-
              <lb/>
            ctrice Magnetis: </s>
            <s xml:id="echoid-s1236" xml:space="preserve">adeoque non ita detegitur quantitas virium ſe mu-
              <lb/>
            tuo attrahentium in Acu & </s>
            <s xml:id="echoid-s1237" xml:space="preserve">Magnete, ſed longe quid aliud: </s>
            <s xml:id="echoid-s1238" xml:space="preserve">Conci-
              <lb/>
            piamus enim Acum rotatilem ſupra pinnam fixam, poſitam in medio
              <lb/>
            flumine quodam, dirigique juxta ejus curſum; </s>
            <s xml:id="echoid-s1239" xml:space="preserve">& </s>
            <s xml:id="echoid-s1240" xml:space="preserve">lateraliter cuſpi-
              <lb/>
            dem Acus trahi per funem annexum ripam verſus ita, ut funis ſem-
              <lb/>
            per ſit perpendicularis ad Acum, tum ut inflectatur in </s>
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