Clavius, Christoph, Geometria practica

Table of figures

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        <div xml:id="echoid-div328" type="section" level="1" n="137">
          <pb o="130" file="160" n="160" rhead="GEOMETR. PRACT."/>
          <p>
            <s xml:id="echoid-s5072" xml:space="preserve">
              <emph style="sc">Porro</emph>
            facilius ex ſcholio problem. </s>
            <s xml:id="echoid-s5073" xml:space="preserve">7. </s>
            <s xml:id="echoid-s5074" xml:space="preserve">altitu dinem A F, eruemus, ſi in G,
              <lb/>
            bis quadratum accommodetur, vt in eo ſcholio diximus. </s>
            <s xml:id="echoid-s5075" xml:space="preserve">Vt ſi in figura eius
              <lb/>
            ſcholij maior altitudo foret I F, & </s>
            <s xml:id="echoid-s5076" xml:space="preserve">minor cognita A H, inueniretur G F, vt ibi
              <lb/>
            oſtenſum eſt, &</s>
            <s xml:id="echoid-s5077" xml:space="preserve">c.</s>
            <s xml:id="echoid-s5078" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5079" xml:space="preserve">ALTITVDINEM maiorem ex minori incognita, ſi tamen baſis ma-
              <lb/>
            ioris cerni poſſit, per quadratum venari.</s>
            <s xml:id="echoid-s5080" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div330" type="section" level="1" n="138">
          <head xml:id="echoid-head141" xml:space="preserve">PROBLEMA XXI.</head>
          <figure number="90">
            <image file="160-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/160-01"/>
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          <p>
            <s xml:id="echoid-s5081" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5082" xml:space="preserve">
              <emph style="sc">In</emph>
            figura problematis 17. </s>
            <s xml:id="echoid-s5083" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s5084" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5085" xml:space="preserve">addiſcatur altitu-
              <lb/>
            do A E, vel per problema 6. </s>
            <s xml:id="echoid-s5086" xml:space="preserve">vel 7. </s>
            <s xml:id="echoid-s5087" xml:space="preserve">aut potius per ſcho-
              <lb/>
            lium problem. </s>
            <s xml:id="echoid-s5088" xml:space="preserve">7. </s>
            <s xml:id="echoid-s5089" xml:space="preserve">ſi C, ſit ſummitas minoris altitudinis
              <lb/>
            C D. </s>
            <s xml:id="echoid-s5090" xml:space="preserve">Deinde quia baſis B, maioris altitudinis ponitur
              <lb/>
            poſſe videri ex C, inquiratur etiam altitudo minor C D,
              <lb/>
            per problema 8. </s>
            <s xml:id="echoid-s5091" xml:space="preserve">aut 9, vel potius per ſcholiũ probl. </s>
            <s xml:id="echoid-s5092" xml:space="preserve">9. </s>
            <s xml:id="echoid-s5093" xml:space="preserve">ſi
              <lb/>
            C, fuerit ſummitas minoris altitudinis C D. </s>
            <s xml:id="echoid-s5094" xml:space="preserve">Hæc enim
              <lb/>
            adiecta ad inuentam altitudinem A E, conficiet totam
              <lb/>
            maiorem altitudinem A B, notam, quæ deſidera-
              <lb/>
            tur.</s>
            <s xml:id="echoid-s5095" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5096" xml:space="preserve">ALTITVDINEM minorem ex maiori cognita, licet baſis minoris
              <lb/>
            cerninon poſſit@, per quadratum ſcrutari.</s>
            <s xml:id="echoid-s5097" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div331" type="section" level="1" n="139">
          <head xml:id="echoid-head142" xml:space="preserve">PROBLEMA XXII.</head>
          <p>
            <s xml:id="echoid-s5098" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5099" xml:space="preserve">
              <emph style="sc">Minor</emph>
            altitudo AB, ex maiore C D, cog-
              <lb/>
              <figure xlink:label="fig-160-02" xlink:href="fig-160-02a" number="91">
                <image file="160-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/160-02"/>
              </figure>
            nita proponatur dimetienda. </s>
            <s xml:id="echoid-s5100" xml:space="preserve">Intelligatur ducta
              <lb/>
            recta A E, Horizonti B D, æquidiſtans, vt E D, fiat
              <lb/>
            minori altitudini AB, æqualis. </s>
            <s xml:id="echoid-s5101" xml:space="preserve">Si igitur ex ſummi-
              <lb/>
            tate C, per problema 8. </s>
            <s xml:id="echoid-s5102" xml:space="preserve">vel 9. </s>
            <s xml:id="echoid-s5103" xml:space="preserve">aut potius per ſcho-
              <lb/>
            lium problem. </s>
            <s xml:id="echoid-s5104" xml:space="preserve">9. </s>
            <s xml:id="echoid-s5105" xml:space="preserve">exploretur altitudo C E, inſpe-
              <lb/>
            cto nimirum cacumine A, ac ſi eſſet ſignum ali-
              <lb/>
            quod in Horizonte A E, ex C, viſum: </s>
            <s xml:id="echoid-s5106" xml:space="preserve">atque hæc
              <lb/>
            altitudo inuenta C E, ex maiore altitudine C D, quę
              <lb/>
            cognita ponitur, detrahatur, reliqua fiet minor al-
              <lb/>
            titudo AB, quam in quirimus.</s>
            <s xml:id="echoid-s5107" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5108" xml:space="preserve">ALTITVDINEM minorem ex maiori incognita, dummodo baſis
              <lb/>
            minoris appareat, per quadratum elicere.</s>
            <s xml:id="echoid-s5109" xml:space="preserve"/>
          </p>
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