Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div190" type="section" level="1" n="82">
          <pb o="76" file="106" n="106" rhead="GEOMETR. PRACT."/>
        </div>
        <div xml:id="echoid-div191" type="section" level="1" n="83">
          <head xml:id="echoid-head86" xml:space="preserve">PROBLEMA XVIII.</head>
          <p>
            <s xml:id="echoid-s3005" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3006" xml:space="preserve">
              <emph style="sc">Minor</emph>
            altitudo A B, ex maiore C D, co-
              <lb/>
              <figure xlink:label="fig-106-01" xlink:href="fig-106-01a" number="42">
                <image file="106-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/106-01"/>
              </figure>
            gnita proponatur addiſcenda, etiamſi baſis B, non
              <lb/>
            cernatur. </s>
            <s xml:id="echoid-s3007" xml:space="preserve">Concipiatur ducta recta AE, ipſi BD, pa-
              <lb/>
            rallela, vt E D, minorialtitudini AB, ſit æqualis. </s>
            <s xml:id="echoid-s3008" xml:space="preserve">Si
              <lb/>
            igitur ex duabus ſtationibus in ſummitate maioris
              <lb/>
            altitu dinis C D, factis, per problema 3. </s>
            <s xml:id="echoid-s3009" xml:space="preserve">vel ex dua-
              <lb/>
            bus feneſtris, per problema 4. </s>
            <s xml:id="echoid-s3010" xml:space="preserve">inueſtigetur tam alti-
              <lb/>
            tudo C E, quam diſtantia A E, inſpecto@cacumine
              <lb/>
            A, ac ſi eſſet ſignum aliquod in Horizonte A E, vi-
              <lb/>
            ſum, & </s>
            <s xml:id="echoid-s3011" xml:space="preserve">CE, ex tota altitu dine C D, auferatur, reli-
              <lb/>
            qua ED, hoc eſt, minor altitudo fiet nota. </s>
            <s xml:id="echoid-s3012" xml:space="preserve">Diſtan-
              <lb/>
            tia autem AE, inuenta quæſitæ BD, eſt æqualis: </s>
            <s xml:id="echoid-s3013" xml:space="preserve">ac
              <lb/>
            proinde DB, cognita erit.</s>
            <s xml:id="echoid-s3014" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3015" xml:space="preserve">ALTITVDINEM minorem ex maiori incognita, dummodo baſis
              <lb/>
            minoris videri poſſit, per Quadrantem explorare. </s>
            <s xml:id="echoid-s3016" xml:space="preserve">Atque hinc diſtan-
              <lb/>
            tiam quoque inter duas altitudines coniicere.</s>
            <s xml:id="echoid-s3017" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div193" type="section" level="1" n="84">
          <head xml:id="echoid-head87" xml:space="preserve">PROBLEMA XIX.</head>
          <p>
            <s xml:id="echoid-s3018" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3019" xml:space="preserve">
              <emph style="sc">Repetatvr</emph>
            figura præcedentis problematis. </s>
            <s xml:id="echoid-s3020" xml:space="preserve">Et quia baſis B, minoris
              <lb/>
            altitudinis ex maiore apparet; </s>
            <s xml:id="echoid-s3021" xml:space="preserve">ſi punctum B, ex duabus ſtationibus in ſummitate
              <lb/>
            maioris altitudinis C D, factis inſpiciatur, reperietur per problema 3. </s>
            <s xml:id="echoid-s3022" xml:space="preserve">tã altitudo
              <lb/>
            maior CD. </s>
            <s xml:id="echoid-s3023" xml:space="preserve">quam diſtantia BD. </s>
            <s xml:id="echoid-s3024" xml:space="preserve">Quod etiam efficies per problema 4. </s>
            <s xml:id="echoid-s3025" xml:space="preserve">ſi punctum
              <lb/>
            B, ex duabus feneſtris maioris altitudinis C D, inſpiciatur. </s>
            <s xml:id="echoid-s3026" xml:space="preserve">Cognita ergo altitu-
              <lb/>
            dine maiori CD, inuenietur minor altitudo AB, vtin præcedẽti problemate tra-
              <lb/>
            ditũ eſt. </s>
            <s xml:id="echoid-s3027" xml:space="preserve">Cũ igitur & </s>
            <s xml:id="echoid-s3028" xml:space="preserve">diſtãtia BD, ſit explorata, patet ſolutio ꝓblematis ꝓpoſiti.</s>
            <s xml:id="echoid-s3029" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3030" xml:space="preserve">PORTIONEM altitudinis maioris ex minore altitudine, & </s>
            <s xml:id="echoid-s3031" xml:space="preserve">m@noris
              <lb/>
            portionem ex maiori cognoſcere per Quadrantem.</s>
            <s xml:id="echoid-s3032" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div194" type="section" level="1" n="85">
          <head xml:id="echoid-head88" xml:space="preserve">PROBLEMA XX.</head>
          <p>
            <s xml:id="echoid-s3033" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3034" xml:space="preserve">
              <emph style="sc">Sit</emph>
            portio A C, maioris altitudinis A B, exquirenda
              <lb/>
              <figure xlink:label="fig-106-02" xlink:href="fig-106-02a" number="43">
                <image file="106-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/106-02"/>
              </figure>
            ex minore altitudine DE: </s>
            <s xml:id="echoid-s3035" xml:space="preserve">Item portio FG, minoris altitudi-
              <lb/>
            nis FB, ex altitudine maiore DE. </s>
            <s xml:id="echoid-s3036" xml:space="preserve">SiDE, altitudo minor eſt
              <lb/>
            portione C B, inueſtigetur tam altitudo maior A B, quam
              <lb/>
            CB, ex minore altitudine DE, per problema 16. </s>
            <s xml:id="echoid-s3037" xml:space="preserve">vel 17. </s>
            <s xml:id="echoid-s3038" xml:space="preserve">pro-
              <lb/>
            ut videlicet D E, cognita fuerit, aut incognita. </s>
            <s xml:id="echoid-s3039" xml:space="preserve">Nam
              <lb/>
            C B, ablata ex A B, notam relinquet portionem A C, quæ-
              <lb/>
            ſitam.</s>
            <s xml:id="echoid-s3040" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3041" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3042" xml:space="preserve">
              <emph style="sc">Si</emph>
            vero D E, maior eſt portione F B, explorandaq;
              <lb/>
            </s>
            <s xml:id="echoid-s3043" xml:space="preserve">ſit portio AF; </s>
            <s xml:id="echoid-s3044" xml:space="preserve">in quirẽda quidem erit maior altitudo A B, ex
              <lb/>
            minore D E, per problema 16. </s>
            <s xml:id="echoid-s3045" xml:space="preserve">vel 17. </s>
            <s xml:id="echoid-s3046" xml:space="preserve">At vero altitudo </s>
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