Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div331" type="section" level="1" n="139">
          <pb o="131" file="161" n="161" rhead="LIBER TERTIVS."/>
        </div>
        <div xml:id="echoid-div333" type="section" level="1" n="140">
          <head xml:id="echoid-head143" xml:space="preserve">PROBLEMA XXIII.</head>
          <p>
            <s xml:id="echoid-s5110" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5111" xml:space="preserve">
              <emph style="sc">Figvra</emph>
            præcedentis problematis repetatur. </s>
            <s xml:id="echoid-s5112" xml:space="preserve">Et quia baſis B, minoris
              <unsure/>
              <lb/>
            altitudinis, tanquam ſignum quodpiam in Horizonte poſitum, videri poteſt,
              <lb/>
            ex hypotheſi, nota efficietur per problema 8. </s>
            <s xml:id="echoid-s5113" xml:space="preserve">aut 9. </s>
            <s xml:id="echoid-s5114" xml:space="preserve">vel potius per ſcholium
              <lb/>
            problem. </s>
            <s xml:id="echoid-s5115" xml:space="preserve">9. </s>
            <s xml:id="echoid-s5116" xml:space="preserve">maior altitudo C D. </s>
            <s xml:id="echoid-s5117" xml:space="preserve">Quare, vtin præcedenti problemate dictum
              <lb/>
            eſt, minor altitudo AB, ex maiore CD, proximè inuenta cognoſcetur; </s>
            <s xml:id="echoid-s5118" xml:space="preserve">quod eſt
              <lb/>
            propoſitum.</s>
            <s xml:id="echoid-s5119" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5120" xml:space="preserve">PORTIONEM altitudinis maioris ex minore altitudine, & </s>
            <s xml:id="echoid-s5121" xml:space="preserve">minoris
              <lb/>
            portionem ex maiore, per quadratum percipere.</s>
            <s xml:id="echoid-s5122" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div334" type="section" level="1" n="141">
          <head xml:id="echoid-head144" xml:space="preserve">PROBLEMA XXIV.</head>
          <p>
            <s xml:id="echoid-s5123" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5124" xml:space="preserve">
              <emph style="sc">Sit</emph>
            portio A G, maioris altitudinis A B, exquirenda ex minore altitudi-
              <lb/>
              <figure xlink:label="fig-161-01" xlink:href="fig-161-01a" number="92">
                <image file="161-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/161-01"/>
              </figure>
            ne D E; </s>
            <s xml:id="echoid-s5125" xml:space="preserve">Item portio GF, altitudinis minoris FB, ex ma-
              <lb/>
            iori altitudine D E. </s>
            <s xml:id="echoid-s5126" xml:space="preserve">Si altitudo D E, minor eſt reliqua
              <lb/>
            portione C B, maioris altitudinis, inueſtiganda erit per
              <lb/>
            problema 20. </s>
            <s xml:id="echoid-s5127" xml:space="preserve">vel 21. </s>
            <s xml:id="echoid-s5128" xml:space="preserve">vtraque altitudo maior A B, C B,
              <lb/>
            ex minori D E, prout videlicet D E, cognita fuerit, aut
              <lb/>
            incognita. </s>
            <s xml:id="echoid-s5129" xml:space="preserve">Nam C B, ablata ex A B, notam reliquet
              <lb/>
            porpoſitam portionem A C. </s>
            <s xml:id="echoid-s5130" xml:space="preserve">Si verò D E, maior eſt re-
              <lb/>
            liqua portione F B, ſi nimirum maioris altitudinis por-
              <lb/>
            tio A F, metienda proponatur: </s>
            <s xml:id="echoid-s5131" xml:space="preserve">inueſtiganda quidem
              <lb/>
            erit maior altitudo A B, ex minore D E, perproblema
              <lb/>
            20. </s>
            <s xml:id="echoid-s5132" xml:space="preserve">vel 21. </s>
            <s xml:id="echoid-s5133" xml:space="preserve">At vero minor altitudo F B, ex maiore D E,
              <lb/>
            per problema 22. </s>
            <s xml:id="echoid-s5134" xml:space="preserve">vel 23. </s>
            <s xml:id="echoid-s5135" xml:space="preserve">exploranda erit, prout videli-
              <lb/>
            cet D E, nota fuerit, autignota. </s>
            <s xml:id="echoid-s5136" xml:space="preserve">Nam rurſus FB, detracta
              <lb/>
            ex AB, notam relinquet portionem propoſitam A F.</s>
            <s xml:id="echoid-s5137" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5138" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5139" xml:space="preserve">
              <emph style="sc">Non</emph>
            ſecus per problema 22. </s>
            <s xml:id="echoid-s5140" xml:space="preserve">vel 23. </s>
            <s xml:id="echoid-s5141" xml:space="preserve">indaganda erit vtraque altitudo mi-
              <lb/>
            nor FB, GB, ex maiore DE, ſi fortè illarum differentia F G, inuenienda ſit.</s>
            <s xml:id="echoid-s5142" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5143" xml:space="preserve">ALTITVDINEM, cuius baſis impoſita ſit monti, vel alteri cui-
              <lb/>
            piam altitudini, & </s>
            <s xml:id="echoid-s5144" xml:space="preserve">vtraque illius extremitas cerni poſſit, etiamſi infi-
              <lb/>
            mum punctum alterius, cui imponitur, lateat, & </s>
            <s xml:id="echoid-s5145" xml:space="preserve">eiuſdem puncti in-
              <lb/>
            fimi diſtantia à loco menſoris cognita non ſit, per quadratum ex val-
              <lb/>
            le, aut ex plano Horizontis explorare.</s>
            <s xml:id="echoid-s5146" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div336" type="section" level="1" n="142">
          <head xml:id="echoid-head145" xml:space="preserve">PROBLEMA XXV.</head>
          <p>
            <s xml:id="echoid-s5147" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5148" xml:space="preserve">
              <emph style="sc">Hvivscemodi</emph>
            altitudo eſt turris ſupra montem poſita, & </s>
            <s xml:id="echoid-s5149" xml:space="preserve">portio ali-
              <lb/>
            cuius ædificij inter duas feneſtras, vel duo ſigna, quorum alterum altero ſupe-
              <lb/>
            rius eſt. </s>
            <s xml:id="echoid-s5150" xml:space="preserve">Sit igitur ſupra montem B F, altitudo turris A B, propoſita. </s>
            <s xml:id="echoid-s5151" xml:space="preserve">Ex ali-
              <lb/>
            quo loco E, in planitie, aut valle, vnde vtrumque turris extremum </s>
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