Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

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            <div xml:id="echoid-div478" type="section" level="3" n="1">
              <div xml:id="echoid-div478" type="letter" level="4" n="1">
                <pb o="211" n="223" file="0223" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0223"/>
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                <head xml:id="echoid-head360" xml:space="preserve">DE CIRCVLO
                  <lb/>
                AMBIENTE QVADRILATERVM.</head>
                <head xml:id="echoid-head361" xml:space="preserve">AD SERENISS. CAROLVM EMANVELEM
                  <lb/>
                Pedemontis Principem.</head>
                <p>
                  <s xml:id="echoid-s2656" xml:space="preserve">PRoblema quod à celſitudine tua nobis proponitur non ſolum poſſibile eſt, ſed
                    <lb/>
                  facile etiam ad ſoluendum, hoc eſt quod circulus talis inueniatur, qui poſſit cir
                    <lb/>
                  cunſcribere, ſeu capere quadrilaterum ex quatuor datis rectis lineis terminatum, vel
                    <lb/>
                  ſic, datis quatuor rectis lineis ex quibus quadrilaterum poſſit eftici, tale efficiatur vt
                    <lb/>
                  circa ipſum, circulus poſſit circunſcribi.</s>
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                  <s xml:id="echoid-s2657" xml:space="preserve">Sint igitur .4. lineæ propoſitæ
                    <var>.b.d</var>
                  :
                    <var>q.b</var>
                  :
                    <var>a.q</var>
                  : et
                    <var>.a.d.</var>
                  ex
                    <reg norm="quibus" type="simple">quibꝰ</reg>
                  poſſibile ſit quadrilate
                    <lb/>
                  rum conſtitui, tale vero conſtituatur, vt aliquis circulus poſſit ipſum circunſcribere.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s2658" xml:space="preserve">imaginemur autem hoc factum eſſe, quod quidem quadrilaterum ſit
                    <var>.a.d.q.b.</var>
                  cuius
                    <lb/>
                    <figure xlink:label="fig-0223-01" xlink:href="fig-0223-01a" number="270">
                      <image file="0223-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0223-01"/>
                    </figure>
                    <figure xlink:label="fig-0223-02" xlink:href="fig-0223-02a" number="271">
                      <image file="0223-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0223-02"/>
                    </figure>
                    <figure xlink:label="fig-0223-03" xlink:href="fig-0223-03a" number="272">
                      <image file="0223-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0223-03"/>
                    </figure>
                    <figure xlink:label="fig-0223-04" xlink:href="fig-0223-04a" number="273">
                      <image file="0223-04" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0223-04"/>
                    </figure>
                    <figure xlink:label="fig-0223-05" xlink:href="fig-0223-05a" number="274">
                      <image file="0223-05" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0223-05"/>
                    </figure>
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