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="369" file="0383" n="383" rhead="DE MAGNITUDINE TERRÆ."/>
          <note position="right" xml:space="preserve">
            <lb/>
          Et præterea A EI # 42 gr. # 20 ſcr.
            <lb/>
          Cumque inſuper dentur E A O 23 gr. 36 ſcr. & A O E 17 \\ gr. 9 ſcr. dabitur quoque in triangulo A O E angulus tertius \\ A E O # 139 gr. # 5 ſcr.
            <lb/>
          Danturque ex obſervatis ſinguli O A E # 23 gr. # 36 ſcr.
            <lb/>
          Et angulus A O E # 17 gr. # 9 ſcr.
            <lb/>
          Et latus A E # 1853. # 6. 3.
            <lb/>
          Unde per triangulorum canones datur O E # 2516. # 6. 6.
            <lb/>
          Et denique A O diſtantia inter Hagam & Leidam # 4103. # 3. 6
            <lb/>
          </note>
        </div>
        <div xml:id="echoid-div256" type="section" level="1" n="256">
          <head xml:id="echoid-head286" xml:space="preserve">VI.
            <emph style="sc">Problema</emph>
          </head>
          <head xml:id="echoid-head287" xml:space="preserve">Eadem diſtantia inter Hagam & Leidam aliter tentata.</head>
          <p>
            <s xml:id="echoid-s8944" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s8945" xml:space="preserve">XV. </s>
            <s xml:id="echoid-s8946" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s8947" xml:space="preserve">12. </s>
            <s xml:id="echoid-s8948" xml:space="preserve">Necdum adeo ipſe mihi ſatisfeci, niſi hanc
              <lb/>
            eandem diſtantiam, quæ tam nobilis & </s>
            <s xml:id="echoid-s8949" xml:space="preserve">excellentis epichrematis ba-
              <lb/>
            ſis futura ſit, cum iſta conſentire etiam alia via demonſtraverim:
              <lb/>
            </s>
            <s xml:id="echoid-s8950" xml:space="preserve">etſi non tanta cum fiducia hoc pronuntiare auſus fuiſſem, niſi inſti-
              <lb/>
            tuti operis arctus conſenſus me eo quaſi manu duxiſſet. </s>
            <s xml:id="echoid-s8951" xml:space="preserve">Quamob-
              <lb/>
            rem illud idem quoque ex prima baſi ſeuLeidæ & </s>
            <s xml:id="echoid-s8952" xml:space="preserve">Soeterwoudæ in-
              <lb/>
            tervallo explicare aggrediar.</s>
            <s xml:id="echoid-s8953" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">
            <lb/>
          Intercapedo inter Leidam & Soeterwoudam A E per ſexti capi- \\ tis calculum eſt # 1092. # 3. 3.
            <lb/>
          Et angulus I A E ex obſervatis # 60 gr. # 32 ſcr.
            <lb/>
          Et angulus I E A # 104 gr. # 32 ſcr.
            <lb/>
          Unde tertius A I E datur # 14 gr. # 56 ſcr.
            <lb/>
          Atque ideo per triangulorum doctrinam dabitur la- \\ tus A I # 4103. # 2. 1.
            <lb/>
          Et latus E I # 3690. # 5. 2.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s8954" xml:space="preserve">Certe ob exilitatem anguli A I E verebar ne calculus quidtur-
              <lb/>
            baret, & </s>
            <s xml:id="echoid-s8955" xml:space="preserve">vix ad unam aut alteram decempedam, vel etiam pluſcu-
              <lb/>
            las addicere auſus fuiſſem, niſi operis eventus arctiſſimum utriuſque
              <lb/>
            abaci conſenſum exhibuiſſet: </s>
            <s xml:id="echoid-s8956" xml:space="preserve">differentia enim inter hujus & </s>
            <s xml:id="echoid-s8957" xml:space="preserve">quinti
              <lb/>
            problematis numeros eſt duntaxat ſesquipedis, quod vel optare im-
              <lb/>
            probum videbatur. </s>
            <s xml:id="echoid-s8958" xml:space="preserve">Atque adeo cum utriuſque operis eventus </s>
          </p>
        </div>
      </text>
    </echo>
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