Clavius, Christoph, Geometria practica

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          <p>
            <s xml:id="echoid-s7958" xml:space="preserve">
              <pb o="186" file="216" n="216" rhead="GEOMETR. PRACT."/>
            153. </s>
            <s xml:id="echoid-s7959" xml:space="preserve">erit E e, 306. </s>
            <s xml:id="echoid-s7960" xml:space="preserve">Et ſi quadratum ip ſius c e, 23409. </s>
            <s xml:id="echoid-s7961" xml:space="preserve">dematur ex 93636. </s>
            <s xml:id="echoid-s7962" xml:space="preserve">quadra-
              <lb/>
            to ipſius E e, reliquum fiet quadratum ipſius E c, 70227. </s>
            <s xml:id="echoid-s7963" xml:space="preserve">cuius radix eſt
              <note symbol="a" position="left" xlink:label="note-216-01" xlink:href="note-216-01a" xml:space="preserve">47. primi.</note>
            lo maior, quam 265. </s>
            <s xml:id="echoid-s7964" xml:space="preserve"> ac proinde E c, ad c e, maiorem habebit
              <note symbol="b" position="left" xlink:label="note-216-02" xlink:href="note-216-02a" xml:space="preserve">8. quinti.</note>
            quam 265. </s>
            <s xml:id="echoid-s7965" xml:space="preserve">ad 153.</s>
            <s xml:id="echoid-s7966" xml:space="preserve"/>
          </p>
          <figure number="137">
            <image file="216-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/216-01"/>
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          <p>
            <s xml:id="echoid-s7967" xml:space="preserve">
              <emph style="sc">Secto</emph>
            iam angulo e E c, bifariam per rectã E d; </s>
            <s xml:id="echoid-s7968" xml:space="preserve"> erite E, ad E c, vt ed,
              <note symbol="c" position="left" xlink:label="note-216-03" xlink:href="note-216-03a" xml:space="preserve">3. ſexti.</note>
            d c. </s>
            <s xml:id="echoid-s7969" xml:space="preserve">Et componendo e E, Ec ſimul ad E c, vt e c, ad d c. </s>
            <s xml:id="echoid-s7970" xml:space="preserve">Et permutando e E, E c,
              <lb/>
            fimul ad e c, vt E c, ad c d. </s>
            <s xml:id="echoid-s7971" xml:space="preserve">Quia verò e E, E c, ſimul maiores ſunt, quam 571.
              <lb/>
            </s>
            <s xml:id="echoid-s7972" xml:space="preserve">(quippe cum E e, ſit 306. </s>
            <s xml:id="echoid-s7973" xml:space="preserve">& </s>
            <s xml:id="echoid-s7974" xml:space="preserve">E c, paulo maior, quam 265.) </s>
            <s xml:id="echoid-s7975" xml:space="preserve">& </s>
            <s xml:id="echoid-s7976" xml:space="preserve">e c, poſita eſt
              <lb/>
            153. </s>
            <s xml:id="echoid-s7977" xml:space="preserve"> habebunt e E, E c, ſimul ad e c, maiorem proportionem, quam 571. </s>
            <s xml:id="echoid-s7978" xml:space="preserve">
              <note symbol="d" position="left" xlink:label="note-216-04" xlink:href="note-216-04a" xml:space="preserve">8. quinti.</note>
            153. </s>
            <s xml:id="echoid-s7979" xml:space="preserve">ideo que & </s>
            <s xml:id="echoid-s7980" xml:space="preserve">proportio E c, ad c d, maior erit, quam 571. </s>
            <s xml:id="echoid-s7981" xml:space="preserve">ad 153. </s>
            <s xml:id="echoid-s7982" xml:space="preserve">ac proin-
              <lb/>
            de ſi c d, ponatur 153. </s>
            <s xml:id="echoid-s7983" xml:space="preserve"> erit E c, paulo maior quam 571. </s>
            <s xml:id="echoid-s7984" xml:space="preserve">Igitur quadrantum ip
              <note symbol="e" position="left" xlink:label="note-216-05" xlink:href="note-216-05a" xml:space="preserve">10. quinti.</note>
            us E c, paulo maius erit, quam 326041. </s>
            <s xml:id="echoid-s7985" xml:space="preserve">atque idcirco, cum quadratum ipſius
              <lb/>
            c d, ſit 23409. </s>
            <s xml:id="echoid-s7986" xml:space="preserve">erit qua dratum ipſius E d, quod quadratis rectarum E c, c d,
              <note symbol="f" position="left" xlink:label="note-216-06" xlink:href="note-216-06a" xml:space="preserve">47. primi.</note>
            æquale, paulo maius, quam 349450. </s>
            <s xml:id="echoid-s7987" xml:space="preserve">eiuſqueradix maior, quam 591 {1/8}. </s>
            <s xml:id="echoid-s7988" xml:space="preserve">quippe
              <lb/>
            cum huius radicis quadratum ſit tantum 349428 {49/64}. </s>
            <s xml:id="echoid-s7989" xml:space="preserve"> Habebit igitur E d,
              <note symbol="g" position="left" xlink:label="note-216-07" xlink:href="note-216-07a" xml:space="preserve">8. quinti.</note>
            d c, maiorem proportionem quam 591 {1/8}. </s>
            <s xml:id="echoid-s7990" xml:space="preserve">ad 153.</s>
            <s xml:id="echoid-s7991" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7992" xml:space="preserve">
              <emph style="sc">Secto</emph>
            rurſus angulo d E c, bifariam per rectam E b; </s>
            <s xml:id="echoid-s7993" xml:space="preserve"> erit rurſus vt d E, E
              <note symbol="h" position="left" xlink:label="note-216-08" xlink:href="note-216-08a" xml:space="preserve">3. ſexti. &
                <lb/>
              componendo
                <lb/>
              permutando-
                <lb/>
              que.</note>
            ſimul ad d c, ita E c, ad c b. </s>
            <s xml:id="echoid-s7994" xml:space="preserve">Quia verò d E, E c, ſimul maiores ſunt, quam 1162 {1/8}.
              <lb/>
            </s>
            <s xml:id="echoid-s7995" xml:space="preserve">(quip pe cum E d, maior ſit, quam 591 {1/8}. </s>
            <s xml:id="echoid-s7996" xml:space="preserve">& </s>
            <s xml:id="echoid-s7997" xml:space="preserve">E c, maior, quam 571.) </s>
            <s xml:id="echoid-s7998" xml:space="preserve">& </s>
            <s xml:id="echoid-s7999" xml:space="preserve">d c, po-
              <lb/>
            ſita eſt 153. </s>
            <s xml:id="echoid-s8000" xml:space="preserve"> habebunt d E, E c, ad d c, maiorem proportionem, quam 1162 {1/8}.</s>
            <s xml:id="echoid-s8001" xml:space="preserve">
              <note symbol="i" position="right" xlink:label="note-216-09" xlink:href="note-216-09a" xml:space="preserve">8. quinti.</note>
            ad 153. </s>
            <s xml:id="echoid-s8002" xml:space="preserve">ideo que & </s>
            <s xml:id="echoid-s8003" xml:space="preserve">E c, ad c b, proportionem habebit maiorem, quam 1162 {1/8}.
              <lb/>
            </s>
            <s xml:id="echoid-s8004" xml:space="preserve">ad 153. </s>
            <s xml:id="echoid-s8005" xml:space="preserve">ac proinde ſi ponatur c b, 153. </s>
            <s xml:id="echoid-s8006" xml:space="preserve">erit E c, maior, quam 1162 {1/8}. </s>
            <s xml:id="echoid-s8007" xml:space="preserve">
              <note symbol="k" position="left" xlink:label="note-216-10" xlink:href="note-216-10a" xml:space="preserve">10. quinti.</note>
            quadratum ipſius E c, maius erit quam 1350534 {3/6} {3/4}. </s>
            <s xml:id="echoid-s8008" xml:space="preserve">cui ſi ad datur quadratum
              <lb/>
            23409. </s>
            <s xml:id="echoid-s8009" xml:space="preserve">ipſius c b, erit quadratum ipſius E b, quod quadratis rectarum E
              <note symbol="l" position="left" xlink:label="note-216-11" xlink:href="note-216-11a" xml:space="preserve">47. primi.</note>
            c b, æquale eſt, maius, quam 1373943 {3/6} {3/4}. </s>
            <s xml:id="echoid-s8010" xml:space="preserve">eiuſque radix propterea, id eſt, </s>
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