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

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          <p>
            <s xml:id="echoid-s11910" xml:space="preserve">
              <pb o="358" file="370" n="370" rhead=""/>
            drante, vel ab eo ſuperatur, ſi eſt quadrante maior.</s>
            <s xml:id="echoid-s11911" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div929" type="section" level="1" n="483">
          <head xml:id="echoid-head517" xml:space="preserve">VIII.</head>
          <p>
            <s xml:id="echoid-s11912" xml:space="preserve">COMPLEMENTVM anguli ſphærici di
              <lb/>
              <note position="left" xlink:label="note-370-01" xlink:href="note-370-01a" xml:space="preserve">Complem@
                <lb/>
              tũ anguli
                <lb/>
              ſphærici
                <lb/>
              quid.</note>
            citur exceſſus, quo quadrans arcum ipſius anguli
              <lb/>
            ſuperat, vel ab eo ſuperatur.</s>
            <s xml:id="echoid-s11913" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div931" type="section" level="1" n="484">
          <head xml:id="echoid-head518" xml:space="preserve">IX.</head>
          <p>
            <s xml:id="echoid-s11914" xml:space="preserve">SINVS, Tangens, & </s>
            <s xml:id="echoid-s11915" xml:space="preserve">Secans alicuius anguli
              <lb/>
            ſphærici eſt ſinus, tangens, & </s>
            <s xml:id="echoid-s11916" xml:space="preserve">ſecans illius arcus,
              <lb/>
            qui arcus anguli dicitur.</s>
            <s xml:id="echoid-s11917" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div932" type="section" level="1" n="485">
          <head xml:id="echoid-head519" xml:space="preserve">PROBLEMA I. PROPOSITIO I.</head>
          <p>
            <s xml:id="echoid-s11918" xml:space="preserve">DATIS duobus arcubus circulorum ma-
              <lb/>
            ximorum in ſuperficie ſphæræ inæquali-
              <lb/>
            bus, quorũ neuter ſemicirculo maior ſit,
              <lb/>
            de maiore æqualem minori arcum detrahere.</s>
            <s xml:id="echoid-s11919" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11920" xml:space="preserve">SINT duo arcus circulorum maximorum inæquales AB, CD, quorum
              <lb/>
              <figure xlink:label="fig-370-01" xlink:href="fig-370-01a" number="196">
                <image file="370-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/370-01"/>
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            neuter ſemicirculo maior ſit, & </s>
            <s xml:id="echoid-s11921" xml:space="preserve">
              <lb/>
            maior ſit CD; </s>
            <s xml:id="echoid-s11922" xml:space="preserve">oporteatq́ue ex ma
              <lb/>
            iori CD, minori AB, æqualem de-
              <lb/>
            trahere. </s>
            <s xml:id="echoid-s11923" xml:space="preserve">Ducta recta AB, applice-
              <lb/>
              <note position="left" xlink:label="note-370-02" xlink:href="note-370-02a" xml:space="preserve">1. quarti.</note>
            tur ei æqualis CE, in arcu CD.
              <lb/>
            </s>
            <s xml:id="echoid-s11924" xml:space="preserve">Dico arcum ablatum CE, æqua-
              <lb/>
            lem eſſe arcui minori AB. </s>
            <s xml:id="echoid-s11925" xml:space="preserve">Cum
              <lb/>
            enim circuli arcuum AB, CD,
              <lb/>
            maximi ſint, & </s>
            <s xml:id="echoid-s11926" xml:space="preserve">propterea æqua-
              <lb/>
            les; </s>
            <s xml:id="echoid-s11927" xml:space="preserve">auferent rectæ æquales AB,
              <lb/>
            CE, arcus æquales AB, CE: </s>
            <s xml:id="echoid-s11928" xml:space="preserve">quòd
              <lb/>
              <note position="left" xlink:label="note-370-03" xlink:href="note-370-03a" xml:space="preserve">28. tertij.</note>
            vterque arcus ſemicirculo minor ponatur. </s>
            <s xml:id="echoid-s11929" xml:space="preserve">Datis igitur duobus arcubus cir-
              <lb/>
            culorum, &</s>
            <s xml:id="echoid-s11930" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11931" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s11932" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div934" type="section" level="1" n="486">
          <head xml:id="echoid-head520" xml:space="preserve">THEOR. 1. PROPOS. 2.</head>
          <p>
            <s xml:id="echoid-s11933" xml:space="preserve">IN omni triangulo ſphærico, latus quodcun-
              <lb/>
            que minus eſt ſemicirculo.</s>
            <s xml:id="echoid-s11934" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11935" xml:space="preserve">SIT triangulum ſphæricum ABC. </s>
            <s xml:id="echoid-s11936" xml:space="preserve">Dico quodcunque latus ſemicir-
              <lb/>
            culo eſſe minus. </s>
            <s xml:id="echoid-s11937" xml:space="preserve">Productis enim arcubus BA, BC, donec conueniant in D, </s>
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