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

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        <div xml:id="echoid-div230" type="section" level="1" n="110">
          <head xml:id="echoid-head122" xml:space="preserve">THEODOSII</head>
          <head xml:id="echoid-head123" xml:space="preserve">SPHAERICORVM</head>
          <head xml:id="echoid-head124" xml:space="preserve">LIBER TERTIVS.</head>
          <figure number="86">
            <image file="077-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/077-01"/>
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        <div xml:id="echoid-div231" type="section" level="1" n="111">
          <head xml:id="echoid-head125" xml:space="preserve">THEOREMA 1. PROPOS. 1.</head>
          <p>
            <s xml:id="echoid-s2541" xml:space="preserve">SI recta linea circulum in partes inæ-
              <lb/>
            quales ſecet, ſuper qua conſtituatur re
              <lb/>
            ctum circuli ſegmentum, quod non
              <lb/>
            ſit maius ſemicirculo; </s>
            <s xml:id="echoid-s2542" xml:space="preserve">diuidatur au-
              <lb/>
            tem ſegmenti inſiſtentis circunferentia in duas in
              <lb/>
            æquales partes: </s>
            <s xml:id="echoid-s2543" xml:space="preserve">Recta linea ſubtendens earum mi-
              <lb/>
            norem, minima eſt linearum rectarum ductarum
              <lb/>
            ab eodem puncto ad minorem partem circunfe-
              <lb/>
            rentiæ primi circuli: </s>
            <s xml:id="echoid-s2544" xml:space="preserve">Rectarum verò ductarum ab
              <lb/>
            eo ipſo puncto ad circunferentiam interceptam
              <lb/>
            inter illam minimam rectam, & </s>
            <s xml:id="echoid-s2545" xml:space="preserve">diametrum, in
              <lb/>
            quam cadit perpendicularis deducta ab illo pun-
              <lb/>
            cto ſemper minimæ propior remotiore minor eſt.
              <lb/>
            </s>
            <s xml:id="echoid-s2546" xml:space="preserve">Omnium autem maxima eſt ea, quæ ab illo eodẽ
              <lb/>
            puncto ducitur ad extremitatem eiuſdem diame-
              <lb/>
            tri: </s>
            <s xml:id="echoid-s2547" xml:space="preserve">Item recta ſubtendens maiorem circunferen-
              <lb/>
            tiam ſegmenti inſiſtentis, minima eſt earum, quæ
              <lb/>
            cadunt in circunferentiam interceptam inter ip-
              <lb/>
            ſam, & </s>
            <s xml:id="echoid-s2548" xml:space="preserve">diametrum, ſemperque huic propior </s>
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