Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div295" type="section" level="1" n="127">
          <pb o="121" file="151" n="151" rhead="LIBER TERTIVS."/>
          <p>
            <s xml:id="echoid-s4741" xml:space="preserve">EX ALTITVDINIS alicuius faſtigio, etiamſi altitudo ſit menſoris
              <lb/>
            ſtatura, diſtantiam inter duo ſigna in plano, cui altitudo inſiſtit, ſiea
              <lb/>
            diſtantia è directo menſoris iaceat, & </s>
            <s xml:id="echoid-s4742" xml:space="preserve">vtrumque eius extremum cerni
              <lb/>
            poſſit, per quadratum comprehendere.</s>
            <s xml:id="echoid-s4743" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div296" type="section" level="1" n="128">
          <head xml:id="echoid-head131" xml:space="preserve">PROBLEMA XI.</head>
          <p>
            <s xml:id="echoid-s4744" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4745" xml:space="preserve">
              <emph style="sc">Sit</emph>
            diſtantia metienda AB, è directo altitu-
              <lb/>
              <figure xlink:label="fig-151-01" xlink:href="fig-151-01a" number="79">
                <image file="151-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/151-01"/>
              </figure>
            dinis C D, in qua oculus menſoris exiſtat in D, fa-
              <lb/>
            ſtigio. </s>
            <s xml:id="echoid-s4746" xml:space="preserve">Per problema antecedens inueſtigetur ex
              <lb/>
            vertice D, tam diſtantia C B, quam C A. </s>
            <s xml:id="echoid-s4747" xml:space="preserve">Minore-
              <lb/>
            nim hæc ex illa maiore detracta notam relinquet
              <lb/>
            diſtantiam A B, inter ſigna A, & </s>
            <s xml:id="echoid-s4748" xml:space="preserve">B, in partibus al-
              <lb/>
            titudinis C D, in quibus videlicet diſtantiæ etiam
              <lb/>
            C B, C A, inuentæſunt.</s>
            <s xml:id="echoid-s4749" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4750" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4751" xml:space="preserve">
              <emph style="sc">Si</emph>
            altitudo C D, ſit ſtatura menſoris, reperietur eodem modo diſtantia,
              <lb/>
            A B, ſi oculus menſoris in D, vtrum que extremum A, B, cernere poſsit, vt liquet.</s>
            <s xml:id="echoid-s4752" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4753" xml:space="preserve">LONGITVDINEM in Horizonte extenſam metiri per Quadratũ,
              <lb/>
            quando menſor in vno eius extremo exiſtens alterum extremum vi-
              <lb/>
            dere non poteſt, propter tumorem aliquem interiectum, neque alti-
              <lb/>
            tudo in promptu eſt, ſed ſolum ad dextram, vel ſiniſtram per lineam
              <lb/>
            perpendicularem recedere poteſt ad locum, è quo alterum extremũ
              <lb/>
            appareat.</s>
            <s xml:id="echoid-s4754" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div298" type="section" level="1" n="129">
          <head xml:id="echoid-head132" xml:space="preserve">PROBLEMA XII.</head>
          <p>
            <s xml:id="echoid-s4755" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4756" xml:space="preserve">
              <emph style="sc">Sit</emph>
            longitudo metienda A E, cuius extre-
              <lb/>
              <figure xlink:label="fig-151-02" xlink:href="fig-151-02a" number="80">
                <image file="151-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/151-02"/>
              </figure>
            mum E, ex A, menſorvidere non poſsit, neq; </s>
            <s xml:id="echoid-s4757" xml:space="preserve">ad-
              <lb/>
            ſit altitudo, ſed tamen ſi ad dextram, vel ſiniſtrã
              <lb/>
            recedat per lineam perpendicularem A a, vſque
              <lb/>
            ad a, illud videre poſsit. </s>
            <s xml:id="echoid-s4758" xml:space="preserve">Quadratum ſtabile ita
              <lb/>
            erigatur, vt eius planum longitudini A E, con-
              <lb/>
            gruat. </s>
            <s xml:id="echoid-s4759" xml:space="preserve">Debet namque conſtare, quænam recta
              <lb/>
            ad extrema A, E, pertineat, hoc eſt, rectam con-
              <lb/>
            ſtituat, cum data longitudine. </s>
            <s xml:id="echoid-s4760" xml:space="preserve">Deinde colloca-
              <lb/>
            to quadrato in Horizontis plano, ita vt latus
              <lb/>
            A B, a longitudine non recedat, extendaturrecta
              <lb/>
            per latus A D, vſq; </s>
            <s xml:id="echoid-s4761" xml:space="preserve">ad a, vnde extremum, E, ap-
              <lb/>
            pareat, ſitque ſpatium A a, per aliquam menſu-
              <lb/>
            ram notum. </s>
            <s xml:id="echoid-s4762" xml:space="preserve">Erectum autem in a, quadratum
              <lb/>
            circumducatur, donec per eius planum extre-
              <lb/>
            mum E, cernatur. </s>
            <s xml:id="echoid-s4763" xml:space="preserve">Poſt hæcidem quadratum in
              <lb/>
            Horizonte collocetur, latuſque a d, perpendiculari A a, congruat: </s>
            <s xml:id="echoid-s4764" xml:space="preserve">Et </s>
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