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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          <pb o="396" file="0410" n="410" rhead="DISSERTATIO"/>
          <note position="right" xml:space="preserve">
            <lb/>
          dicularis ? ? differentia longitudinis
            <lb/>
          Et ? E differentia latitudinis # 14203. 7.
            <lb/>
          Rurſum cum detur per Problema XXXIII. ? Q \\ diſtantia inter Alcmariam & Bergam # 34626. 2.
            <lb/>
          Datur autem per Problema XXXIII angulus \\ L ? Q # 36 gr. 26` ſcr. 50``.
            <lb/>
          Et per Problema XXI angulus L ? E # 40 gr. 22`. 30``.
            <lb/>
          Atque ideo reliquus E ? Q # 3 gr. 55`. 40``.
            <lb/>
          Qui additus ad ? ? E # 74 gr. 59 ſcr.
            <lb/>
          Conflabit ? ? Q ſive ? Q ? # 78 gr. 54 ſcr.
            <lb/>
          Et ideo angulum Q ? ? # 11 gr. 6. 20``.
            <lb/>
          Atque ideo Q ? differentia longitudinis inter Alc- \\ mariam & Bergam-ad-Somum erit.
            <lb/>
          Et ? ? differentia latitudinis inter Alcmariam & \\ Bergam-ad Somum # 33978. 1.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s9259" xml:space="preserve">Reliquum eſt igitur, ut poli altitudine, vel etiam ſola latitudi-
              <lb/>
            num differentia data, cætera concludamus. </s>
            <s xml:id="echoid-s9260" xml:space="preserve">Altitudo poli Alcma-
              <lb/>
            riani diligenter & </s>
            <s xml:id="echoid-s9261" xml:space="preserve">accurate obſervata eſt inventa 52 grad. </s>
            <s xml:id="echoid-s9262" xml:space="preserve">40 {1/2} ſcru-
              <lb/>
            pulorum. </s>
            <s xml:id="echoid-s9263" xml:space="preserve">Altitudo poli Bergæ-ad-Somum 51. </s>
            <s xml:id="echoid-s9264" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s9265" xml:space="preserve">29 ſcrupulo-
              <lb/>
            rum. </s>
            <s xml:id="echoid-s9266" xml:space="preserve">Atque hinc differentia latitudinis inter Bergam & </s>
            <s xml:id="echoid-s9267" xml:space="preserve">Alcmariam
              <lb/>
            datur unius & </s>
            <s xml:id="echoid-s9268" xml:space="preserve">ſeptuaginta ſcrupulorum cum ſemiſſe. </s>
            <s xml:id="echoid-s9269" xml:space="preserve">Unde ſola
              <lb/>
            proportione unius gradus quantitatem in maximoterræ circulo con-
              <lb/>
            cludes 28513 perticarum. </s>
            <s xml:id="echoid-s9270" xml:space="preserve">Cum enim 71 {1/2} ſcrupula habeant 33978
              <lb/>
            perticas, ſequitur ſcrupulis ſexaginta, quæ gradum implent, cede-
              <lb/>
            re perticas 28513. </s>
            <s xml:id="echoid-s9271" xml:space="preserve">Verum ut illud verum eſſe aliunde quoque e-
              <lb/>
            vincam. </s>
            <s xml:id="echoid-s9272" xml:space="preserve">Ecce iterum, Leidenſis & </s>
            <s xml:id="echoid-s9273" xml:space="preserve">Alcmarianæ elevationis differen-
              <lb/>
            tiam cum illarum diſtantia comparabo. </s>
            <s xml:id="echoid-s9274" xml:space="preserve">Altitudo poli Leidenſis plu-
              <lb/>
            ries, & </s>
            <s xml:id="echoid-s9275" xml:space="preserve">modis compluribus inventa eſt 52 graduum 10 {1/2} ſcrupulo-
              <lb/>
            rum. </s>
            <s xml:id="echoid-s9276" xml:space="preserve">Differentia igitur eſt ſcrupulorum triginta. </s>
            <s xml:id="echoid-s9277" xml:space="preserve">Atqui domus
              <lb/>
            mea à turri curiæ Leidenſis, e quâ tanquam ſpecula angulorum
              <lb/>
            quantitatem & </s>
            <s xml:id="echoid-s9278" xml:space="preserve">Gæodæſias obſervavimus, diſtat meridiem verſus,
              <lb/>
            ſi ad eundem meridianum revoces plane decempedis 95, quemad-
              <lb/>
            modum capite ſequenti Gæodætice & </s>
            <s xml:id="echoid-s9279" xml:space="preserve">accurate demonſtrabo. </s>
            <s xml:id="echoid-s9280" xml:space="preserve">Alc-
              <lb/>
            mariæ autem locus ille erat itidem à templi turricula ſupra notatus
              <lb/>
            abeſſe decempedis 55 præter propter, differentia utriuſque ſunt de-
              <lb/>
            cempedæ 40, ad diſtantiam parallelorum inter Alcmariam & </s>
            <s xml:id="echoid-s9281" xml:space="preserve"/>
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