Theodosius <Bithynius>; Clavius, Christoph, Theodosii Tripolitae Sphaericorum libri tres

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            <s xml:id="echoid-s1689" xml:space="preserve">
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            tem ſecant in eodem puncto A, ipſi ſe mutuo tangent in puncto A. </s>
            <s xml:id="echoid-s1690" xml:space="preserve">Circu-
              <lb/>
              <note position="right" xlink:label="note-057-01" xlink:href="note-057-01a" xml:space="preserve">3. huius.</note>
            lo igitur in ſphæra dato, &</s>
            <s xml:id="echoid-s1691" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1692" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s1693" xml:space="preserve"/>
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        <div xml:id="echoid-div175" type="section" level="1" n="91">
          <head xml:id="echoid-head103" xml:space="preserve">PROBL. 2. PROPOS. 15.</head>
          <note position="right" xml:space="preserve">19.</note>
          <p>
            <s xml:id="echoid-s1694" xml:space="preserve">CIRCVLO in ſphæra dato, qui minor ſit
              <lb/>
            maximo circulo, & </s>
            <s xml:id="echoid-s1695" xml:space="preserve">puncto aliquo dato in ſphæ-
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            ræ ſuperficie, quod ſit inter datum circulum, & </s>
            <s xml:id="echoid-s1696" xml:space="preserve">
              <lb/>
            alium eidem æqualem, & </s>
            <s xml:id="echoid-s1697" xml:space="preserve">parallelum, per pun-
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            ctum illud datum deſcribere maximum circu-
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            lum, qui tangat datum circulum maximo minorẽ.</s>
            <s xml:id="echoid-s1698" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1699" xml:space="preserve">SIT in ſphæra datus circulus non maximus A B, cui æqualis ſit & </s>
            <s xml:id="echoid-s1700" xml:space="preserve">paral
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            lelus C D, datumq́; </s>
            <s xml:id="echoid-s1701" xml:space="preserve">punctum ſit G, inter duos circulos A B, C D; </s>
            <s xml:id="echoid-s1702" xml:space="preserve">oporteatq́;
              <lb/>
            </s>
            <s xml:id="echoid-s1703" xml:space="preserve">per G, circulum maximum deſcribere, qui tangat circulum A B. </s>
            <s xml:id="echoid-s1704" xml:space="preserve">Sint E, F,
              <lb/>
            poli parallelorum A B, C D, (habent enim paralleli eoſdem polos.) </s>
            <s xml:id="echoid-s1705" xml:space="preserve">& </s>
            <s xml:id="echoid-s1706" xml:space="preserve">per
              <lb/>
              <note position="right" xlink:label="note-057-03" xlink:href="note-057-03a" xml:space="preserve">1. huius.</note>
            E, G, circulus maximus deſcribatur E A C, qui per reliquum polum F, tran
              <lb/>
              <note position="right" xlink:label="note-057-04" xlink:href="note-057-04a" xml:space="preserve">20. 1. huius.</note>
            ſibit, ex coroll. </s>
            <s xml:id="echoid-s1707" xml:space="preserve">ſcholij propoſ. </s>
            <s xml:id="echoid-s1708" xml:space="preserve">10. </s>
            <s xml:id="echoid-s1709" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s1710" xml:space="preserve">1. </s>
            <s xml:id="echoid-s1711" xml:space="preserve">huius. </s>
            <s xml:id="echoid-s1712" xml:space="preserve">In hoc accipiatur quadrans
              <lb/>
              <figure xlink:label="fig-057-01" xlink:href="fig-057-01a" number="64">
                <image file="057-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/057-01"/>
              </figure>
            B H; </s>
            <s xml:id="echoid-s1713" xml:space="preserve">ca-
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            detq́; </s>
            <s xml:id="echoid-s1714" xml:space="preserve">pũ
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            ctum H,
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            vel ſupra
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            D, vel in
              <lb/>
            D, vel in
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            fra D:
              <lb/>
            </s>
            <s xml:id="echoid-s1715" xml:space="preserve">Quodcũ
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            que autẽ
              <lb/>
            horũ cõ-
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            tingat,
              <lb/>
            ita rẽ exe
              <lb/>
            quemur. </s>
            <s xml:id="echoid-s1716" xml:space="preserve">
              <lb/>
            Ex polo E, ad interuallum E H, vel ex polo F, ad interuallum F H, cir-
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            culus deſcribatur H I, qui ipſis A B, C D, parallelus erit, exiſtetq́; </s>
            <s xml:id="echoid-s1717" xml:space="preserve">vel ſu-
              <lb/>
              <note position="right" xlink:label="note-057-05" xlink:href="note-057-05a" xml:space="preserve">2. huius.</note>
            pra C D, vel idem erit qui C D, vel infra C D, ſitus erit, prout punctum
              <lb/>
            H, ſupra D, vel in D, vel infra D, poſitum fuerit. </s>
            <s xml:id="echoid-s1718" xml:space="preserve">Sumatur rurſum qua-
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            drans G K, eritq́; </s>
            <s xml:id="echoid-s1719" xml:space="preserve">punctum K, vltra H, cum G H, quadrante minor ſit. </s>
            <s xml:id="echoid-s1720" xml:space="preserve">Po-
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            lo deinde G, interuallo autem G K, circulus deſcribatur K L, qui maxi-
              <lb/>
            mus erit, quòd recta ſubtendens quadrantẽ G K, æqualis ſit lateri quadrati
              <lb/>
              <note position="right" xlink:label="note-057-06" xlink:href="note-057-06a" xml:space="preserve">17. 1. huius.</note>
            in maximo circulo deſcripti. </s>
            <s xml:id="echoid-s1721" xml:space="preserve">Secet autem K L, circulum H I, in L, & </s>
            <s xml:id="echoid-s1722" xml:space="preserve">per
              <lb/>
            L, F, circulus maximus deſcribatur F L, qui per reliquum polum E, tranſi-
              <lb/>
              <note position="right" xlink:label="note-057-07" xlink:href="note-057-07a" xml:space="preserve">20. 1. huius</note>
            bit, ex coroll. </s>
            <s xml:id="echoid-s1723" xml:space="preserve">ſcholij propoſ.</s>
            <s xml:id="echoid-s1724" xml:space="preserve">10.</s>
            <s xml:id="echoid-s1725" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s1726" xml:space="preserve">1. </s>
            <s xml:id="echoid-s1727" xml:space="preserve">huius. </s>
            <s xml:id="echoid-s1728" xml:space="preserve">Secet autem hic circulus F L E,
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            circulum A B, in M. </s>
            <s xml:id="echoid-s1729" xml:space="preserve">Eruntq́; </s>
            <s xml:id="echoid-s1730" xml:space="preserve">arcus M L, B H, circulorum maximorum </s>
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