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

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            <s xml:id="echoid-s1730" xml:space="preserve">
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            E, F, polos parallelorum tranſeuntium, intercepti inter parallelos A B, H I,
              <lb/>
              <note position="left" xlink:label="note-058-01" xlink:href="note-058-01a" xml:space="preserve">10. huius.</note>
            æquales, ac propterea exiſtente B H, quadrante per conſtructionem, erit & </s>
            <s xml:id="echoid-s1731" xml:space="preserve">
              <lb/>
            L M, quadrans. </s>
            <s xml:id="echoid-s1732" xml:space="preserve">Polo igitur L, interuallo autem L M, circulus deſcribatur
              <lb/>
            M N, qui maximus erit, quòd recta ſubtendens quadrantem L M, æqualis
              <lb/>
              <note position="left" xlink:label="note-058-02" xlink:href="note-058-02a" xml:space="preserve">17. i. huius.</note>
            ſit lateri quadrati in maximo circulo deſcripti. </s>
            <s xml:id="echoid-s1733" xml:space="preserve">Quoniam vero maximus cir
              <lb/>
            culus K L, tranſit per L, polum maximi circuli N M, tranſibit viciſsim ma-
              <lb/>
            ximus circulus N M, per G, polum circuli K L: </s>
            <s xml:id="echoid-s1734" xml:space="preserve">atque ita tranſit maximus
              <lb/>
              <note position="left" xlink:label="note-058-03" xlink:href="note-058-03a" xml:space="preserve">Scho. 15. 1.
                <lb/>
              huius.</note>
            circulus N M, per datum punctum G. </s>
            <s xml:id="echoid-s1735" xml:space="preserve">Dico iam eundem tangere circulum
              <lb/>
            A B, in M. </s>
            <s xml:id="echoid-s1736" xml:space="preserve">Quoniã enim circuli A B, G N, in eodem puncto M, ſecãt maximũ
              <lb/>
            circulum E F, in quo polos habent, ipſi ſe mutuo tangent in M. </s>
            <s xml:id="echoid-s1737" xml:space="preserve">Deſcriptus
              <lb/>
              <note position="left" xlink:label="note-058-04" xlink:href="note-058-04a" xml:space="preserve">8. huius.</note>
            eſt ergo per G, circulus maximus G N, tangens circulum A B, in M. </s>
            <s xml:id="echoid-s1738" xml:space="preserve">Quare
              <lb/>
            circulo in ſphæra dato, &</s>
            <s xml:id="echoid-s1739" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1740" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s1741" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div177" type="section" level="1" n="92">
          <head xml:id="echoid-head104" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s1742" xml:space="preserve">_QVOD_ ſi punctum G, datum ſit præciſe in medio arcus _B D,_ erit quadrans _G F._
              <lb/>
            </s>
            <s xml:id="echoid-s1743" xml:space="preserve">Polo igitur _G_, interualloq́; </s>
            <s xml:id="echoid-s1744" xml:space="preserve">_G F,_ circulus deſcriptus _F E,_ ſecabit _H I,_ in _L,_ puncto,
              <lb/>
            quod rurſum erit polus circuli tangentis, vt prius. </s>
            <s xml:id="echoid-s1745" xml:space="preserve">Si vero _G,_ punctum datum ſit
              <lb/>
            idem, quod _D,_ erit polus circuli tangentis in medio arcus _D C A,_ cum hic arcus ſe-
              <lb/>
            micirculus ſit. </s>
            <s xml:id="echoid-s1746" xml:space="preserve">Circulus aut em ex illo polo deſcriptus tanget _A B,_ in _A,_ & </s>
            <s xml:id="echoid-s1747" xml:space="preserve">_C D,_
              <lb/>
              <figure xlink:label="fig-058-01" xlink:href="fig-058-01a" number="65">
                <image file="058-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/058-01"/>
              </figure>
              <note position="left" xlink:label="note-058-05" xlink:href="note-058-05a" xml:space="preserve">1. huius.</note>
            in _D_, vt
              <lb/>
            patet: </s>
            <s xml:id="echoid-s1748" xml:space="preserve">quo
              <lb/>
            niam vi-
              <lb/>
            delicet cir
              <lb/>
            culus hic
              <lb/>
            maximus,
              <lb/>
            & </s>
            <s xml:id="echoid-s1749" xml:space="preserve">paral.
              <lb/>
            </s>
            <s xml:id="echoid-s1750" xml:space="preserve">leli _A B,_
              <lb/>
            _C D,_ ſe-
              <lb/>
            cãt in pũ-
              <lb/>
            ctis _A,_ _D,_
              <lb/>
            circunfe-
              <lb/>
            rentiã ma
              <lb/>
            ximi circuli _A C D B,_ in quo polos habent.</s>
            <s xml:id="echoid-s1751" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1752" xml:space="preserve">_QVONIAM_ vero ſicut _L,_ polus eſt oſtenſus circuli maximi _G N,_ tangentis,
              <lb/>
            circulum _A B,_ ita quoque oſtendi poteſt, aliud punctũ, in quo maximus circulus _K L,_
              <lb/>
            circulum _H I,_ ex altera parte ſecat, polum eſſe alterius cuiuſdam circuli maximi,
              <lb/>
            qui per _G,_ tranſeat, tangatq́; </s>
            <s xml:id="echoid-s1753" xml:space="preserve">circulum _A B,_ in alio puncto; </s>
            <s xml:id="echoid-s1754" xml:space="preserve">perſpicuum eſt per pũ-
              <lb/>
            ctum in ſphæra datum inter duos circulos æquales, & </s>
            <s xml:id="echoid-s1755" xml:space="preserve">parallelos deſcribi poſſe duos
              <lb/>
            circulos maximos, qui circulum _A B,_ tangant in duobus punctis.</s>
            <s xml:id="echoid-s1756" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div179" type="section" level="1" n="93">
          <head xml:id="echoid-head105" xml:space="preserve">THEOR. 14. PROPOS. 16.</head>
          <note position="left" xml:space="preserve">20.</note>
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            <s xml:id="echoid-s1757" xml:space="preserve">MAXIMI circuli, qui ſimiles </s>
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