Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div178" type="section" level="1" n="76">
          <pb o="71" file="101" n="101" rhead="LIBER SECVNDVS."/>
          <p>
            <s xml:id="echoid-s2797" xml:space="preserve">gignetur longitudo optata C E, in partibus differentiæ ſtationum H E, vel F G,
              <lb/>
            & </s>
            <s xml:id="echoid-s2798" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2799" xml:space="preserve">Quod ſi rurſus fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt H E, differentia Tangentium \\ angulorum obſeruationum # Ad FD, ſi- \\ num totum # Ita H E, vel F G, differen- \\ tia ſtationum # ad F D,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2800" xml:space="preserve">inuenietur recta F D, à qua ſi tollatur ſtatura menſoris A F, reliqua fiet altitudo
              <lb/>
            turris A D.</s>
            <s xml:id="echoid-s2801" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2802" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2803" xml:space="preserve">Sediam ex duabus feneſtris F, G, inſpiciatur extremum E, per angulos
              <lb/>
            CFE, CGE, ducaturq; </s>
            <s xml:id="echoid-s2804" xml:space="preserve">FH, ipſi GE, parallela. </s>
            <s xml:id="echoid-s2805" xml:space="preserve"> Quoniã igitur angulus C F
              <note symbol="a" position="right" xlink:label="note-101-02" xlink:href="note-101-02a" xml:space="preserve">29. primi.</note>
            angulo CGE, æqualis eſt: </s>
            <s xml:id="echoid-s2806" xml:space="preserve">ſi ponatur ſinus totus C E, erit C G, Tangens anguli
              <lb/>
            CEG, complementi minoris anguli obſeruationis G, & </s>
            <s xml:id="echoid-s2807" xml:space="preserve">CF, Tangens anguli
              <lb/>
            CEF, complementi maioris anguli obſeruationis C F E: </s>
            <s xml:id="echoid-s2808" xml:space="preserve">at F G, differentia ſta-
              <lb/>
            tionum, hoc eſt, interuallum inter feneſtras, differentia erit dictarum Tangen-
              <lb/>
            tium. </s>
            <s xml:id="echoid-s2809" xml:space="preserve"># Quamobrem ſi fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          VFG, differentia \\ Tangentium cõ- \\ plemẽtorum an- \\ gulorum obſer- \\ uationum, # Ad CE, \\ ſinum to- \\ tum # Ita F G, diffe- \\ rentia ſtatio- \\ num interfe- \\ neſtr{as}, # ad C E, \\ longitudi- \\ nem pro- \\ poſitam,
            <lb/>
          </note>
          <figure number="35">
            <image file="101-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/101-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s2810" xml:space="preserve">cognita erit longitudo CE, deſiderata. </s>
            <s xml:id="echoid-s2811" xml:space="preserve">Et ſirurſum fiat,</s>
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          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt F G, differentia \\ Tangentium com- \\ plementorũ angu- \\ lorũ obſeruationũ # ad G C, Tangen- \\ tem complemen- \\ ti minoris angu- \\ li obſeruati # Ita F G, ad GC, \\ differentia ſta- \\ tionum inter \\ feneſtr{as}
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2812" xml:space="preserve">inuenta erit altitudo G C, à ſup eriori feneſtra ad baſem, in partibus differentiæ
              <lb/>
            ſtationum, cui ſi addatur portio GB, à ſuperiori feneſtra ad faſtigium vſque, to-
              <lb/>
            ta turris altitudo BC, non ignorabitur.</s>
            <s xml:id="echoid-s2813" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2814" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2815" xml:space="preserve">
              <emph style="sc">Sine</emph>
            auxilio numerorum procedendum eſt, vtin ſuperioribus.</s>
            <s xml:id="echoid-s2816" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2817" xml:space="preserve">LONGITVDINEM rectæè directo menſoris poſitæ, cuius extre-
              <lb/>
            mum vtrumque, vel alterum non appareat, niſi ad dextram, vel fini-
              <lb/>
            ſtram accedat menſor, per quadrantem comprehendere.</s>
            <s xml:id="echoid-s2818" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div181" type="section" level="1" n="77">
          <head xml:id="echoid-head80" xml:space="preserve">PROBLEMA XII.</head>
          <p>
            <s xml:id="echoid-s2819" xml:space="preserve">1. </s>
            <s xml:id="echoid-s2820" xml:space="preserve">
              <emph style="sc">Sit</emph>
            longitudo A B, & </s>
            <s xml:id="echoid-s2821" xml:space="preserve">menſor in extremo A, conſtitutus videre non poſ-
              <lb/>
            fit alterum extremum, niſi ad dextram ſiniſtramue
              <lb/>
              <figure xlink:label="fig-101-02" xlink:href="fig-101-02a" number="36">
                <image file="101-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/101-02"/>
              </figure>
            recedat vſq; </s>
            <s xml:id="echoid-s2822" xml:space="preserve">adD, punctũ, è quo vtrumq; </s>
            <s xml:id="echoid-s2823" xml:space="preserve">extremũ
              <lb/>
            cerni poſsit. </s>
            <s xml:id="echoid-s2824" xml:space="preserve">Eritigitur longitudo AB, menſori in
              <lb/>
            D, exiſtenti poſita in tranſuerſum. </s>
            <s xml:id="echoid-s2825" xml:space="preserve">Quare ea per
              <lb/>
            problema 10. </s>
            <s xml:id="echoid-s2826" xml:space="preserve">inueſtigabitur.</s>
            <s xml:id="echoid-s2827" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2828" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2829" xml:space="preserve">Eodẽ modo, ſi mẽſor exiſtat in C, è directo lõgi-
              <lb/>
            tudinis, ſed vel neutrũ extremũ, vel alterũ </s>
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