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

Table of handwritten notes

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        <div xml:id="echoid-div125" type="section" level="1" n="69">
          <head xml:id="echoid-head80" xml:space="preserve">THEODOSII</head>
          <head xml:id="echoid-head81" xml:space="preserve">SPHAE RICORVM
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          LIBER SECVNDVS.</head>
          <figure number="44">
            <image file="042-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/042-01"/>
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        <div xml:id="echoid-div126" type="section" level="1" n="70">
          <head xml:id="echoid-head82" style="it" xml:space="preserve">DEFINITIO.</head>
          <p>
            <s xml:id="echoid-s1115" xml:space="preserve">IN ſphæra circuli ſe mutuo tangere di-
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            cuntur, cum communis ſectio plano-
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            rum vtrumque circulum tetigerit.</s>
            <s xml:id="echoid-s1116" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div127" type="section" level="1" n="71">
          <head xml:id="echoid-head83" xml:space="preserve">THEOREMA 1. PROPOS. 1.</head>
          <note position="left" xml:space="preserve">1</note>
          <p>
            <s xml:id="echoid-s1117" xml:space="preserve">IN ſphæra paralleli circuli circa eoſdem po-
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            los ſunt.</s>
            <s xml:id="echoid-s1118" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1119" xml:space="preserve">IN ſphæra A B C D E F, paralleli circuli
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              <figure xlink:label="fig-042-02" xlink:href="fig-042-02a" number="45">
                <image file="042-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/042-02"/>
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            ſint B F, C E. </s>
            <s xml:id="echoid-s1120" xml:space="preserve">Dico eos circa eoſdem polos
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            eſſe. </s>
            <s xml:id="echoid-s1121" xml:space="preserve">Sint enim A, D, poli circuli B, F, & </s>
            <s xml:id="echoid-s1122" xml:space="preserve">cõ-
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              <note position="left" xlink:label="note-042-02" xlink:href="note-042-02a" xml:space="preserve">21. 1. huius.</note>
            nectatur recta A D, quæ ad circulum B F, re-
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            cta erit, tranſibitq́; </s>
            <s xml:id="echoid-s1123" xml:space="preserve">per centrum ſphæræ.
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            </s>
            <s xml:id="echoid-s1124" xml:space="preserve">
              <note position="left" xlink:label="note-042-03" xlink:href="note-042-03a" xml:space="preserve">10. 1. huius.</note>
            Quoniam igitur recta A D, ad circulũ B F,
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            perpendicularis eſt, erit quoque ad circulũ
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            parallelum C E, perpendicularis. </s>
            <s xml:id="echoid-s1125" xml:space="preserve">Quare cũ
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              <note position="left" xlink:label="note-042-04" xlink:href="note-042-04a" xml:space="preserve">Schol. 14.
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              vndec.</note>
            tranſeat per centrum ſphæræ, vt oſtenſum
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            eſt, cadet in polos circuli C E. </s>
            <s xml:id="echoid-s1126" xml:space="preserve">Sunt ergo
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              <note position="left" xlink:label="note-042-05" xlink:href="note-042-05a" xml:space="preserve">8. 1. huius.</note>
            A, D, poli circuli C E: </s>
            <s xml:id="echoid-s1127" xml:space="preserve">ſunt autem & </s>
            <s xml:id="echoid-s1128" xml:space="preserve">poli
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            circuli B F. </s>
            <s xml:id="echoid-s1129" xml:space="preserve">In ſphæra igitur paralleli circu-
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            li B F, C E, circa eoſdem polos A, D, ſunt. </s>
            <s xml:id="echoid-s1130" xml:space="preserve">Quod erat demonſtrandum.</s>
            <s xml:id="echoid-s1131" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div129" type="section" level="1" n="72">
          <head xml:id="echoid-head84" xml:space="preserve">THEOREMA 2. PROPOS. 2.</head>
          <note position="left" xml:space="preserve">2</note>
          <p>
            <s xml:id="echoid-s1132" xml:space="preserve">IN ſphæra circuli, qui ſunt circa eoſdem po-
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            los, ſunt paralleli.</s>
            <s xml:id="echoid-s1133" xml:space="preserve"/>
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