Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div189" type="section" level="1" n="81">
          <pb o="75" file="105" n="105" rhead="LIBER SECVNDVS."/>
          <p>
            <s xml:id="echoid-s2958" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2959" xml:space="preserve">
              <emph style="sc">Qvando</emph>
            in ſummitate turris minoris fieri duæ ſtationes nequeunt, eli-
              <lb/>
            gantur duæ feneſtræ, in quibus duæ ſtationes fiant. </s>
            <s xml:id="echoid-s2960" xml:space="preserve">Vt in figura præcedentis pro-
              <lb/>
            blematis 15. </s>
            <s xml:id="echoid-s2961" xml:space="preserve">in minoriturri CE, deligantur duæ feneſtræ D, E, & </s>
            <s xml:id="echoid-s2962" xml:space="preserve">reliqua fiant, vt
              <lb/>
            in haſta C E. </s>
            <s xml:id="echoid-s2963" xml:space="preserve">Solum pro ſtatura menſoris ad altitu dinem inuentam AM, adijci-
              <lb/>
            enda eſt portio turris inter inferiorem feneſtram D, & </s>
            <s xml:id="echoid-s2964" xml:space="preserve">baſem C, vttota maior al-
              <lb/>
            titudo AB, nota effi ciatur.</s>
            <s xml:id="echoid-s2965" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2966" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2967" xml:space="preserve">
              <emph style="sc">Sine</emph>
            numeris nihil noui p̃cipimus, ſed ad ſuperiora lectorem amandamus.</s>
            <s xml:id="echoid-s2968" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2969" xml:space="preserve">4. </s>
            <s xml:id="echoid-s2970" xml:space="preserve">
              <emph style="sc">Qvo</emph>
            ẽt pacto ꝓblema hoc ꝑ ſolos ſinus poſsit effici, docuim’ ꝓbl. </s>
            <s xml:id="echoid-s2971" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2972" xml:space="preserve">& </s>
            <s xml:id="echoid-s2973" xml:space="preserve">15.</s>
            <s xml:id="echoid-s2974" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2975" xml:space="preserve">ALTITVDINEM maiorem ex minori incognita, dummodo baſis
              <lb/>
            maioris cerni poſſit per Quadrantem perſcrutari.</s>
            <s xml:id="echoid-s2976" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div190" type="section" level="1" n="82">
          <head xml:id="echoid-head85" xml:space="preserve">PROBLEMA XVII.</head>
          <figure number="41">
            <image file="105-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/105-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s2977" xml:space="preserve">1. </s>
            <s xml:id="echoid-s2978" xml:space="preserve">
              <emph style="sc">Sit</emph>
            maior altitudo A B, & </s>
            <s xml:id="echoid-s2979" xml:space="preserve">minor C D, incognita,
              <lb/>
            poſsitq; </s>
            <s xml:id="echoid-s2980" xml:space="preserve">baſis maioris B, videri ex minori altitudine. </s>
            <s xml:id="echoid-s2981" xml:space="preserve">Pri-
              <lb/>
            mum per duas ſtationes in ſummitate turris minoris, vel
              <lb/>
            in duabus feneſtris, inquiratur tam altitudo turris mino -
              <lb/>
            ris C D, quam diſtantia D B, vt problemate 11. </s>
            <s xml:id="echoid-s2982" xml:space="preserve">vel etiam
              <lb/>
            3. </s>
            <s xml:id="echoid-s2983" xml:space="preserve">& </s>
            <s xml:id="echoid-s2984" xml:space="preserve">4. </s>
            <s xml:id="echoid-s2985" xml:space="preserve">traditum eſt. </s>
            <s xml:id="echoid-s2986" xml:space="preserve">Namtunc ex minori altitudine nota
              <lb/>
            C D, maior A B, explorabitur perea, quæ in antecedent@
              <lb/>
            problemate 16. </s>
            <s xml:id="echoid-s2987" xml:space="preserve">ſcripſimus.</s>
            <s xml:id="echoid-s2988" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2989" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2990" xml:space="preserve">
              <emph style="sc">At</emph>
            ex altitudine CD, & </s>
            <s xml:id="echoid-s2991" xml:space="preserve">diſtantia D B, cognitis di-
              <lb/>
            ſcemus altitudinem maiorem A B, per ſolos ſinus, hoc
              <lb/>
            modo. </s>
            <s xml:id="echoid-s2992" xml:space="preserve">Ex aliqua feneſtra C, minoris altitudinisin ſpici-
              <lb/>
            antur extrema A, B, maioris altitudinis per ãgulos ACE,
              <lb/>
            BCD, (ducta prius CE, ipſi DB, parallela, vel ad vtramq;
              <lb/>
            </s>
            <s xml:id="echoid-s2993" xml:space="preserve">altitu dinem perpendiculari.) </s>
            <s xml:id="echoid-s2994" xml:space="preserve"> Deinde fiat,</s>
          </p>
          <note symbol="a" position="right" xml:space="preserve">10. Triang.
            <lb/>
          rectil.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} anguli C B D, complemen- \\ ti illi{us}, quo baſis inſpicitur # ad inuentam altitu- \\ altitudinem CD: # Ita ſin{us} tot{us} \\ anguli recti D, # ad B C,
            <lb/>
          #### Vel
            <lb/>
          Vt ſin{us} anguli B C D, quo \\ baſis inſpicitur, # ad inuentam diſtan- \\ ſtantiam B D: # Ita ſin{us} tot{us} an- \\ gulirecti D, # ad BC,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2995" xml:space="preserve">Vtro que enim modo cognita erit hypotenuſa BC. </s>
            <s xml:id="echoid-s2996" xml:space="preserve"> Siergo rurſus fiat,</s>
          </p>
          <note symbol="b" position="right" xml:space="preserve">10. Triang.
            <lb/>
          rectil.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} anguli A, com- \\ plementi illi{us} quo ca- \\ cumen inſpicitur, # ad inuentam \\ hypotenuſam \\ BC: # Ita ſin{us} anguli ACB, conflati ex com- \\ plemento anguli, quo baſem intue- \\ mur, & ex angulo, quo faſtigium \\ cernitur, # ad \\ AB,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2997" xml:space="preserve">manifeſtabitur altitudo maior AB.</s>
            <s xml:id="echoid-s2998" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2999" xml:space="preserve">3. </s>
            <s xml:id="echoid-s3000" xml:space="preserve">
              <emph style="sc">De</emph>
            ſolutione problematis ſine numeris nihil noui hic præcipimus, ſed ea
              <lb/>
            ex ſuperioribus petenda eſt.</s>
            <s xml:id="echoid-s3001" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3002" xml:space="preserve">ALTITVDINEM minorem ex maiori cognita, licet baſis minoris
              <lb/>
            non cerni poſſit, ope Quadrantis perueſtigare. </s>
            <s xml:id="echoid-s3003" xml:space="preserve">Atque hinc diſtantiam
              <lb/>
            quoque inter altitudines duas eruere.</s>
            <s xml:id="echoid-s3004" xml:space="preserve"/>
          </p>
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