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

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            <s xml:id="echoid-s1666" xml:space="preserve">
              <pb o="44" file="056" n="56" rhead=""/>
              <figure xlink:label="fig-056-01" xlink:href="fig-056-01a" number="62">
                <image file="056-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/056-01"/>
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            pterea & </s>
            <s xml:id="echoid-s1667" xml:space="preserve">arcus parallelo
              <lb/>
              <note position="left" xlink:label="note-056-01" xlink:href="note-056-01a" xml:space="preserve">28. tertij.</note>
            rum C V L, D X E, æ-
              <lb/>
            quales erunt. </s>
            <s xml:id="echoid-s1668" xml:space="preserve">Cum ergo
              <lb/>
              <note position="left" xlink:label="note-056-02" xlink:href="note-056-02a" xml:space="preserve">9. huius.</note>
            ſecẽtur bifariam in V, X,
              <lb/>
            vt dictum eſt, æquales e-
              <lb/>
            runt eorum medietates,
              <lb/>
            nimirum quatuor arcus
              <lb/>
            C V, V L, D X, X E. </s>
            <s xml:id="echoid-s1669" xml:space="preserve">Si
              <lb/>
            igitur arcubus ęqualibus
              <lb/>
            C V, D X, communis ar-
              <lb/>
            cus addatur V D, æqua-
              <lb/>
            les erunt arcus C D, V X:
              <lb/>
            </s>
            <s xml:id="echoid-s1670" xml:space="preserve">Eſt autem arcus V X, ar
              <lb/>
              <note position="left" xlink:label="note-056-03" xlink:href="note-056-03a" xml:space="preserve">10. huius.</note>
            cui A B, ſimilis. </s>
            <s xml:id="echoid-s1671" xml:space="preserve">Igitur
              <lb/>
            & </s>
            <s xml:id="echoid-s1672" xml:space="preserve">C D, eidem A B, ſimi
              <lb/>
            lis erit. </s>
            <s xml:id="echoid-s1673" xml:space="preserve">Non ſecus oſten
              <lb/>
            demus F G, eidem A B,
              <lb/>
            ſimilem eſſE; </s>
            <s xml:id="echoid-s1674" xml:space="preserve">nec non & </s>
            <s xml:id="echoid-s1675" xml:space="preserve">
              <lb/>
            arcus E L, H M, eidem
              <lb/>
            arcui A B, eſſe ſimiles. </s>
            <s xml:id="echoid-s1676" xml:space="preserve">Quod ſecundo loco proponebatur demonſtrandum.
              <lb/>
            </s>
            <s xml:id="echoid-s1677" xml:space="preserve">Siergo in ſphæra ſint paralleli circuli, &</s>
            <s xml:id="echoid-s1678" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1679" xml:space="preserve">Quod oſtendendum erat.</s>
            <s xml:id="echoid-s1680" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div173" type="section" level="1" n="90">
          <head xml:id="echoid-head102" xml:space="preserve">PROBL. 1. PROP. 14.</head>
          <note position="left" xml:space="preserve">17.</note>
          <p>
            <s xml:id="echoid-s1681" xml:space="preserve">CIRCVLO in ſphæra dato, qui minor ſit
              <lb/>
            quàm circulus maximus, datoq́ aliquo puncto
              <lb/>
            in eius circunferentia, per illud punctum deſcri-
              <lb/>
            bere circulum maximum, qui tangat datum cir-
              <lb/>
            culum.</s>
            <s xml:id="echoid-s1682" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1683" xml:space="preserve">IN ſphæra datus circulus ſit non maximus A B, cuius polus C, opor-
              <lb/>
              <figure xlink:label="fig-056-02" xlink:href="fig-056-02a" number="63">
                <image file="056-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/056-02"/>
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            teatq́; </s>
            <s xml:id="echoid-s1684" xml:space="preserve">per A, punctum in eius circũferentia
              <lb/>
            datum, deſcribere maximum circulum, qui
              <lb/>
            circulum A B, tangat. </s>
            <s xml:id="echoid-s1685" xml:space="preserve">Per polum C, & </s>
            <s xml:id="echoid-s1686" xml:space="preserve">pun
              <lb/>
              <note position="left" xlink:label="note-056-05" xlink:href="note-056-05a" xml:space="preserve">20. i. huius.</note>
            ctum A, deſcribatur circulus maximus
              <lb/>
            C A D E B, in quo ſumatur quadrans A D,
              <lb/>
            & </s>
            <s xml:id="echoid-s1687" xml:space="preserve">polo D, interuallo D A, circulus deſcri-
              <lb/>
            batur A E, qui maximus erit, quòd recta
              <lb/>
              <note position="left" xlink:label="note-056-06" xlink:href="note-056-06a" xml:space="preserve">17. 1. huius.</note>
            ſubtenſa D A, latus ſit quadrati in maxi-
              <lb/>
            mo circulo deſcripti. </s>
            <s xml:id="echoid-s1688" xml:space="preserve">Dico circulum maxi-
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            mum A E, tangere circulum A B, in A. </s>
            <s xml:id="echoid-s1689" xml:space="preserve">Quo-
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            niam enim duo circuli A B, A E, eundem
              <lb/>
            circulum C A D, per eorum polos </s>
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