Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div198" type="section" level="1" n="87">
          <p>
            <s xml:id="echoid-s3075" xml:space="preserve">
              <pb o="78" file="108" n="108" rhead="GEOMETR. PRACT."/>
            quam BC, ſecluſa menſoris ſtatura CF. </s>
            <s xml:id="echoid-s3076" xml:space="preserve">Altitudo namq; </s>
            <s xml:id="echoid-s3077" xml:space="preserve">BC, exaltitudine A C,
              <lb/>
            detracta notam relinquet altitudinem AB, quæ quæritur.</s>
            <s xml:id="echoid-s3078" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div199" type="section" level="1" n="88">
          <head xml:id="echoid-head91" xml:space="preserve">ALITER.</head>
          <p>
            <s xml:id="echoid-s3079" xml:space="preserve">3. </s>
            <s xml:id="echoid-s3080" xml:space="preserve">
              <emph style="sc">Inventa</emph>
            diſtantia DC, per ea, quæ in problemate 1. </s>
            <s xml:id="echoid-s3081" xml:space="preserve">& </s>
            <s xml:id="echoid-s3082" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3083" xml:space="preserve">tradidimus,
              <lb/>
            ſi fiat,</s>
          </p>
          <note symbol="a" position="left" xml:space="preserve">4. Triang.
            <lb/>
          rectil.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} to- \\ t{us} DC, # ad diſtantiam cogni- \\ tam DC, # Ita A C, Tangens maioris anguli \\ obſeruati ADC, # ad AC,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s3084" xml:space="preserve">reperietur|altitudo maior A C, in partibus diſtantiæ inuentæ D C. </s>
            <s xml:id="echoid-s3085" xml:space="preserve"> Et
              <note symbol="b" position="left" xlink:label="note-108-03" xlink:href="note-108-03a" xml:space="preserve">4. Triang.
                <lb/>
              rectil.</note>
            ſus fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} to- \\ t{us} DC, # ad diſtantiam in- \\ uentam DC: # Ita BC, Tangens minoris anguli ob- \\ ſeruati BDC, # ad B C,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s3086" xml:space="preserve">cognita fiet altitudo minor BC, in partibus eiuſdem diſtantiæ inuentæ DC, quæ
              <lb/>
            dempta ex maiore altitudine A C, notam relinquet altitudinem turris B A,
              <lb/>
            quæſitam.</s>
            <s xml:id="echoid-s3087" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3088" xml:space="preserve">
              <emph style="sc">Atqve</emph>
            hæc ratio commodiſsima eſt, quando in turri aliqua, vel ædificio,
              <lb/>
            cuius diſtantia à menſore cognita ſit, metiendum eſt interuallum perpendicu-
              <lb/>
            lare inter duas feneſtras.</s>
            <s xml:id="echoid-s3089" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div201" type="section" level="1" n="89">
          <head xml:id="echoid-head92" xml:space="preserve">ALITER.</head>
          <p>
            <s xml:id="echoid-s3090" xml:space="preserve">4. </s>
            <s xml:id="echoid-s3091" xml:space="preserve">
              <emph style="sc">Inventa</emph>
            rurſum diſtantia DC, per ea, quæin problemate 1. </s>
            <s xml:id="echoid-s3092" xml:space="preserve">& </s>
            <s xml:id="echoid-s3093" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3094" xml:space="preserve">ſcripſi-
              <lb/>
            mus; </s>
            <s xml:id="echoid-s3095" xml:space="preserve">detrahatur Tangens B C, (poſito ſinu toto D C,) minoris anguli obſer-
              <lb/>
            uati A D C, vt nota remaneat AB, differen@a dictarum Tangentium. </s>
            <s xml:id="echoid-s3096" xml:space="preserve">Nam ſi fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} to- \\ t{us} DC, # ad diſtantiam in- \\ uentam DC, # ita A B, differentia Tangen- \\ tium AC, BC, # ad A B, altitu- \\ dinem,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s3097" xml:space="preserve">procreabitur altitudo quæſita AB, in partibus diſtantiæ inuentæ D C.</s>
            <s xml:id="echoid-s3098" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div202" type="section" level="1" n="90">
          <head xml:id="echoid-head93" xml:space="preserve">ALITER.</head>
          <p>
            <s xml:id="echoid-s3099" xml:space="preserve">5. </s>
            <s xml:id="echoid-s3100" xml:space="preserve">
              <emph style="sc">Inventa</emph>
            per problema 2. </s>
            <s xml:id="echoid-s3101" xml:space="preserve">vel 15. </s>
            <s xml:id="echoid-s3102" xml:space="preserve">altitudine montis B C, obſeruen-
              <lb/>
            tur anguli B D C, A D C, per radios D B, D A. </s>
            <s xml:id="echoid-s3103" xml:space="preserve">Poſito namque ſinu toto
              <lb/>
            D C, ſi fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt B C, Tangens \\ minoris anguli \\ obſeruati B D C, # ad B C, altitu- \\ dinem inuen- \\ tam: # Ita A B, differentia Tangen- \\ tium AC, CB, angulorum \\ obſeruatorum ADC, B DC. # ad A B
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s3104" xml:space="preserve">prodibitrurſus altitudo nota AB, quam quærimus.</s>
            <s xml:id="echoid-s3105" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div203" type="section" level="1" n="91">
          <head xml:id="echoid-head94" xml:space="preserve">SCHOLIVM.</head>
          <p>
            <s xml:id="echoid-s3106" xml:space="preserve">
              <emph style="sc">Itaqve</emph>
            ſi AB, portio ſuperior totius alicuius altitudinis AC, deſideretur, in-
              <lb/>
            ueſtiganda erit per Problema 2. </s>
            <s xml:id="echoid-s3107" xml:space="preserve">vel 15. </s>
            <s xml:id="echoid-s3108" xml:space="preserve">tam tota altitudo AC, quam eius inferior
              <lb/>
            portio BC. </s>
            <s xml:id="echoid-s3109" xml:space="preserve">Earum enim differentia notam dabit ſuperiorem portionem AB.</s>
            <s xml:id="echoid-s3110" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3111" xml:space="preserve">
              <emph style="sc">Si</emph>
            autem media aliqua portio IB, cognoſcenda eſt, coniicienda rurſus erit
              <lb/>
            vtraque altitudo IC, BC, vt earum differentia IB, nota red datur.</s>
            <s xml:id="echoid-s3112" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3113" xml:space="preserve">
              <emph style="sc">Si</emph>
            deniqueinferior pars B C, proponitur inquirenda, fiet id per Problema
              <lb/>
            2. </s>
            <s xml:id="echoid-s3114" xml:space="preserve">vel 15.</s>
            <s xml:id="echoid-s3115" xml:space="preserve"/>
          </p>
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