Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div292" type="section" level="1" n="126">
          <p>
            <s xml:id="echoid-s4636" xml:space="preserve">
              <pb o="119" file="149" n="149" rhead="LIBER TERTIVS."/>
            dratum in C: </s>
            <s xml:id="echoid-s4637" xml:space="preserve">inueſtigetur que portio dioptræ A C, vt in ſchol. </s>
            <s xml:id="echoid-s4638" xml:space="preserve">problem. </s>
            <s xml:id="echoid-s4639" xml:space="preserve">7. </s>
            <s xml:id="echoid-s4640" xml:space="preserve">Num.
              <lb/>
            </s>
            <s xml:id="echoid-s4641" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4642" xml:space="preserve">tradidimus. </s>
            <s xml:id="echoid-s4643" xml:space="preserve"> Deinde fiat,</s>
          </p>
          <note symbol="a" position="right" xml:space="preserve">2. ſexti. &
            <lb/>
          componendo.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt p@rtio dioptræ AC, \\ inuenta # ad inuentam hypotenu- \\ ſam A I, # Ita A D, latus \\ 1000. # ad AE,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4644" xml:space="preserve">Nam numerus productus dabit A E, in partibus hypotenuſæ AI. </s>
            <s xml:id="echoid-s4645" xml:space="preserve">Atque totidem
              <lb/>
            partes complectetur diſtantia E I; </s>
            <s xml:id="echoid-s4646" xml:space="preserve"> quod A E, EI, æquales ſint, ob angulos
              <note symbol="b" position="right" xlink:label="note-149-03" xlink:href="note-149-03a" xml:space="preserve">6. primi.</note>
            mirectos EAI, EIA, æquales.</s>
            <s xml:id="echoid-s4647" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4648" xml:space="preserve">3. </s>
            <s xml:id="echoid-s4649" xml:space="preserve">
              <emph style="sc">Postremo</emph>
            hypotenuſa A K, inuenta eo modo, quo A F, cognita eſt,
              <lb/>
            ſecet latus CD, vmbræ rectæ in H, reperiatur que portio dioptræ AH, vt in ſchol.
              <lb/>
            </s>
            <s xml:id="echoid-s4650" xml:space="preserve">problem. </s>
            <s xml:id="echoid-s4651" xml:space="preserve">7. </s>
            <s xml:id="echoid-s4652" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s4653" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4654" xml:space="preserve">do cuimus. </s>
            <s xml:id="echoid-s4655" xml:space="preserve"> Nam ſi fiat.</s>
            <s xml:id="echoid-s4656" xml:space="preserve"/>
          </p>
          <note symbol="c" position="right" xml:space="preserve">2. ſexti. &
            <lb/>
          componendo.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt portio dioptræ \\ A H, inuenta # ad inuentam hypotenu- \\ ſam A K: # Ita A D, lat{us} qua- \\ drati # ad A E,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4657" xml:space="preserve">cognoſcetur A E, in partibus hypotenuſæ A K, & </s>
            <s xml:id="echoid-s4658" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4659" xml:space="preserve">Et ſi rurſus fiat, ducta prius
              <lb/>
            H N, ipſi A E, parallela,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt portio dioptræ \\ A H, inuenta # Ad inuentam hy- \\ potenuſam A K, # Ita E N, vmbræ rectæ \\ D H, æqualis # ad E K,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4660" xml:space="preserve">nota quo que red detur diſtantia E K, in ijſdem partibus hypotenuſæ A K, & </s>
            <s xml:id="echoid-s4661" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s4662" xml:space="preserve">Quod ſi ex vertice D, appareret radix montis, inueniretur eo dem modo diſtan-
              <lb/>
            tia à radice vſque ad E, quæ ablata ex diſtantia F E, inuenta notam quo que re-
              <lb/>
            lin quet diſtantiam ab F, vſque ad radicem montis, quæ nonnunquam poſſet
              <lb/>
            deſiderari.</s>
            <s xml:id="echoid-s4663" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4664" xml:space="preserve">EX ſummitate turris, vel aliqua eius feneſtra, diſtantiam à baſe turris ad
              <lb/>
            ſignum propoſitum in Horizonte per quadratum cognoſcere.</s>
            <s xml:id="echoid-s4665" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div295" type="section" level="1" n="127">
          <head xml:id="echoid-head130" xml:space="preserve">PROBLEMA X.</head>
          <p>
            <s xml:id="echoid-s4666" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4667" xml:space="preserve">
              <emph style="sc">Sit</emph>
            turris aliqua A F, & </s>
            <s xml:id="echoid-s4668" xml:space="preserve">diſtantia metienda F G. </s>
            <s xml:id="echoid-s4669" xml:space="preserve">Si igitur altitudo turris
              <lb/>
            cognita eſt, aut eius portio inter feneſtram A, & </s>
            <s xml:id="echoid-s4670" xml:space="preserve">baſem F; </s>
            <s xml:id="echoid-s4671" xml:space="preserve">inſpiciatur ſignum G,
              <lb/>
            per pinnacidia quadrati penduli. </s>
            <s xml:id="echoid-s4672" xml:space="preserve">Et ſi quidem filum perpendiculi interſecet
              <lb/>
            latus vmbræ rectæ in E, vel per punctum C, tranſeat, Fiat autem</s>
          </p>
          <figure number="77">
            <image file="149-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/149-01"/>
          </figure>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt latus AB, par- \\ @ium 1000. # ad vmbram re- \\ ctam BE, # Ita A F, altitudo turris \\ nota # ad FG,
            <lb/>
          </note>
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