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+<li class="toctree-l1 current"><a class="reference internal" href="../index.html">Coordinate operations</a><ul class="current">
+<li class="toctree-l2 current"><a class="reference internal" href="index.html">Projections</a><ul class="current">
+<li class="toctree-l3"><a class="reference internal" href="adams_hemi.html">Adams Hemisphere in a Square</a></li>
+<li class="toctree-l3"><a class="reference internal" href="adams_ws1.html">Adams World in a Square I</a></li>
+<li class="toctree-l3"><a class="reference internal" href="adams_ws2.html">Adams World in a Square II</a></li>
+<li class="toctree-l3"><a class="reference internal" href="aea.html">Albers Equal Area</a></li>
+<li class="toctree-l3"><a class="reference internal" href="aeqd.html">Azimuthal Equidistant</a></li>
+<li class="toctree-l3"><a class="reference internal" href="airy.html">Airy</a></li>
+<li class="toctree-l3"><a class="reference internal" href="aitoff.html">Aitoff</a></li>
+<li class="toctree-l3"><a class="reference internal" href="alsk.html">Modified Stereographic of Alaska</a></li>
+<li class="toctree-l3"><a class="reference internal" href="apian.html">Apian Globular I</a></li>
+<li class="toctree-l3"><a class="reference internal" href="august.html">August Epicycloidal</a></li>
+<li class="toctree-l3"><a class="reference internal" href="bacon.html">Bacon Globular</a></li>
+<li class="toctree-l3"><a class="reference internal" href="bertin1953.html">Bertin 1953</a></li>
+<li class="toctree-l3"><a class="reference internal" href="bipc.html">Bipolar conic of western hemisphere</a></li>
+<li class="toctree-l3"><a class="reference internal" href="boggs.html">Boggs Eumorphic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="bonne.html">Bonne (Werner lat_1=90)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="calcofi.html">Cal Coop Ocean Fish Invest Lines/Stations</a></li>
+<li class="toctree-l3"><a class="reference internal" href="cass.html">Cassini (Cassini-Soldner)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="cc.html">Central Cylindrical</a></li>
+<li class="toctree-l3 current"><a class="current reference internal" href="#">Central Conic</a><ul>
+<li class="toctree-l4"><a class="reference internal" href="#usage">Usage</a></li>
+<li class="toctree-l4"><a class="reference internal" href="#parameters">Parameters</a></li>
+<li class="toctree-l4"><a class="reference internal" href="#mathematical-definition">Mathematical definition</a></li>
+<li class="toctree-l4"><a class="reference internal" href="#reference-values">Reference values</a></li>
+</ul>
+</li>
+<li class="toctree-l3"><a class="reference internal" href="cea.html">Equal Area Cylindrical</a></li>
+<li class="toctree-l3"><a class="reference internal" href="chamb.html">Chamberlin Trimetric</a></li>
+<li class="toctree-l3"><a class="reference internal" href="collg.html">Collignon</a></li>
+<li class="toctree-l3"><a class="reference internal" href="col_urban.html">Colombia Urban</a></li>
+<li class="toctree-l3"><a class="reference internal" href="comill.html">Compact Miller</a></li>
+<li class="toctree-l3"><a class="reference internal" href="crast.html">Craster Parabolic (Putnins P4)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="denoy.html">Denoyer Semi-Elliptical</a></li>
+<li class="toctree-l3"><a class="reference internal" href="eck1.html">Eckert I</a></li>
+<li class="toctree-l3"><a class="reference internal" href="eck2.html">Eckert II</a></li>
+<li class="toctree-l3"><a class="reference internal" href="eck3.html">Eckert III</a></li>
+<li class="toctree-l3"><a class="reference internal" href="eck4.html">Eckert IV</a></li>
+<li class="toctree-l3"><a class="reference internal" href="eck5.html">Eckert V</a></li>
+<li class="toctree-l3"><a class="reference internal" href="eck6.html">Eckert VI</a></li>
+<li class="toctree-l3"><a class="reference internal" href="eqc.html">Equidistant Cylindrical (Plate Carrée)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="eqdc.html">Equidistant Conic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="eqearth.html">Equal Earth</a></li>
+<li class="toctree-l3"><a class="reference internal" href="euler.html">Euler</a></li>
+<li class="toctree-l3"><a class="reference internal" href="fahey.html">Fahey</a></li>
+<li class="toctree-l3"><a class="reference internal" href="fouc.html">Foucaut</a></li>
+<li class="toctree-l3"><a class="reference internal" href="fouc_s.html">Foucaut Sinusoidal</a></li>
+<li class="toctree-l3"><a class="reference internal" href="gall.html">Gall (Gall Stereographic)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="geos.html">Geostationary Satellite View</a></li>
+<li class="toctree-l3"><a class="reference internal" href="gins8.html">Ginsburg VIII (TsNIIGAiK)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="gn_sinu.html">General Sinusoidal Series</a></li>
+<li class="toctree-l3"><a class="reference internal" href="gnom.html">Gnomonic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="goode.html">Goode Homolosine</a></li>
+<li class="toctree-l3"><a class="reference internal" href="gs48.html">Modified Stereographic of 48 U.S.</a></li>
+<li class="toctree-l3"><a class="reference internal" href="gs50.html">Modified Stereographic of 50 U.S.</a></li>
+<li class="toctree-l3"><a class="reference internal" href="guyou.html">Guyou</a></li>
+<li class="toctree-l3"><a class="reference internal" href="hammer.html">Hammer &amp; Eckert-Greifendorff</a></li>
+<li class="toctree-l3"><a class="reference internal" href="hatano.html">Hatano Asymmetrical Equal Area</a></li>
+<li class="toctree-l3"><a class="reference internal" href="healpix.html">HEALPix</a></li>
+<li class="toctree-l3"><a class="reference internal" href="rhealpix.html">rHEALPix</a></li>
+<li class="toctree-l3"><a class="reference internal" href="igh.html">Interrupted Goode Homolosine</a></li>
+<li class="toctree-l3"><a class="reference internal" href="igh_o.html">Interrupted Goode Homolosine (Oceanic View)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="imw_p.html">International Map of the World Polyconic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="isea.html">Icosahedral Snyder Equal Area</a></li>
+<li class="toctree-l3"><a class="reference internal" href="kav5.html">Kavrayskiy V</a></li>
+<li class="toctree-l3"><a class="reference internal" href="kav7.html">Kavrayskiy VII</a></li>
+<li class="toctree-l3"><a class="reference internal" href="krovak.html">Krovak</a></li>
+<li class="toctree-l3"><a class="reference internal" href="labrd.html">Laborde</a></li>
+<li class="toctree-l3"><a class="reference internal" href="laea.html">Lambert Azimuthal Equal Area</a></li>
+<li class="toctree-l3"><a class="reference internal" href="lagrng.html">Lagrange</a></li>
+<li class="toctree-l3"><a class="reference internal" href="larr.html">Larrivee</a></li>
+<li class="toctree-l3"><a class="reference internal" href="lask.html">Laskowski</a></li>
+<li class="toctree-l3"><a class="reference internal" href="lcc.html">Lambert Conformal Conic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="lcca.html">Lambert Conformal Conic Alternative</a></li>
+<li class="toctree-l3"><a class="reference internal" href="leac.html">Lambert Equal Area Conic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="lee_os.html">Lee Oblated Stereographic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="loxim.html">Loximuthal</a></li>
+<li class="toctree-l3"><a class="reference internal" href="lsat.html">Space oblique for LANDSAT</a></li>
+<li class="toctree-l3"><a class="reference internal" href="mbt_s.html">McBryde-Thomas Flat-Polar Sine (No. 1)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="mbt_fps.html">McBryde-Thomas Flat-Pole Sine (No. 2)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="mbtfpp.html">McBride-Thomas Flat-Polar Parabolic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="mbtfpq.html">McBryde-Thomas Flat-Polar Quartic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="mbtfps.html">McBryde-Thomas Flat-Polar Sinusoidal</a></li>
+<li class="toctree-l3"><a class="reference internal" href="merc.html">Mercator</a></li>
+<li class="toctree-l3"><a class="reference internal" href="mil_os.html">Miller Oblated Stereographic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="mill.html">Miller Cylindrical</a></li>
+<li class="toctree-l3"><a class="reference internal" href="misrsom.html">Space oblique for MISR</a></li>
+<li class="toctree-l3"><a class="reference internal" href="moll.html">Mollweide</a></li>
+<li class="toctree-l3"><a class="reference internal" href="murd1.html">Murdoch I</a></li>
+<li class="toctree-l3"><a class="reference internal" href="murd2.html">Murdoch II</a></li>
+<li class="toctree-l3"><a class="reference internal" href="murd3.html">Murdoch III</a></li>
+<li class="toctree-l3"><a class="reference internal" href="natearth.html">Natural Earth</a></li>
+<li class="toctree-l3"><a class="reference internal" href="natearth2.html">Natural Earth II</a></li>
+<li class="toctree-l3"><a class="reference internal" href="nell.html">Nell</a></li>
+<li class="toctree-l3"><a class="reference internal" href="nell_h.html">Nell-Hammer</a></li>
+<li class="toctree-l3"><a class="reference internal" href="nicol.html">Nicolosi Globular</a></li>
+<li class="toctree-l3"><a class="reference internal" href="nsper.html">Near-sided perspective</a></li>
+<li class="toctree-l3"><a class="reference internal" href="nzmg.html">New Zealand Map Grid</a></li>
+<li class="toctree-l3"><a class="reference internal" href="ob_tran.html">General Oblique Transformation</a></li>
+<li class="toctree-l3"><a class="reference internal" href="ocea.html">Oblique Cylindrical Equal Area</a></li>
+<li class="toctree-l3"><a class="reference internal" href="oea.html">Oblated Equal Area</a></li>
+<li class="toctree-l3"><a class="reference internal" href="omerc.html">Oblique Mercator</a></li>
+<li class="toctree-l3"><a class="reference internal" href="ortel.html">Ortelius Oval</a></li>
+<li class="toctree-l3"><a class="reference internal" href="ortho.html">Orthographic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="patterson.html">Patterson</a></li>
+<li class="toctree-l3"><a class="reference internal" href="pconic.html">Perspective Conic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="peirce_q.html">Peirce Quincuncial</a></li>
+<li class="toctree-l3"><a class="reference internal" href="poly.html">Polyconic (American)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="putp1.html">Putnins P1</a></li>
+<li class="toctree-l3"><a class="reference internal" href="putp2.html">Putnins P2</a></li>
+<li class="toctree-l3"><a class="reference internal" href="putp3.html">Putnins P3</a></li>
+<li class="toctree-l3"><a class="reference internal" href="putp3p.html">Putnins P3’</a></li>
+<li class="toctree-l3"><a class="reference internal" href="putp4p.html">Putnins P4’</a></li>
+<li class="toctree-l3"><a class="reference internal" href="putp5.html">Putnins P5</a></li>
+<li class="toctree-l3"><a class="reference internal" href="putp5p.html">Putnins P5’</a></li>
+<li class="toctree-l3"><a class="reference internal" href="putp6.html">Putnins P6</a></li>
+<li class="toctree-l3"><a class="reference internal" href="putp6p.html">Putnins P6’</a></li>
+<li class="toctree-l3"><a class="reference internal" href="qua_aut.html">Quartic Authalic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="qsc.html">Quadrilateralized Spherical Cube</a></li>
+<li class="toctree-l3"><a class="reference internal" href="robin.html">Robinson</a></li>
+<li class="toctree-l3"><a class="reference internal" href="rouss.html">Roussilhe Stereographic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="rpoly.html">Rectangular Polyconic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="s2.html">S2</a></li>
+<li class="toctree-l3"><a class="reference internal" href="sch.html">Spherical Cross-track Height</a></li>
+<li class="toctree-l3"><a class="reference internal" href="sinu.html">Sinusoidal (Sanson-Flamsteed)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="somerc.html">Swiss Oblique Mercator</a></li>
+<li class="toctree-l3"><a class="reference internal" href="stere.html">Stereographic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="sterea.html">Oblique Stereographic Alternative</a></li>
+<li class="toctree-l3"><a class="reference internal" href="gstmerc.html">Gauss-Schreiber Transverse Mercator (aka Gauss-Laborde Reunion)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="tcc.html">Transverse Central Cylindrical</a></li>
+<li class="toctree-l3"><a class="reference internal" href="tcea.html">Transverse Cylindrical Equal Area</a></li>
+<li class="toctree-l3"><a class="reference internal" href="times.html">Times</a></li>
+<li class="toctree-l3"><a class="reference internal" href="tissot.html">Tissot</a></li>
+<li class="toctree-l3"><a class="reference internal" href="tmerc.html">Transverse Mercator</a></li>
+<li class="toctree-l3"><a class="reference internal" href="tobmerc.html">Tobler-Mercator</a></li>
+<li class="toctree-l3"><a class="reference internal" href="tpeqd.html">Two Point Equidistant</a></li>
+<li class="toctree-l3"><a class="reference internal" href="tpers.html">Tilted perspective</a></li>
+<li class="toctree-l3"><a class="reference internal" href="ups.html">Universal Polar Stereographic</a></li>
+<li class="toctree-l3"><a class="reference internal" href="urm5.html">Urmaev V</a></li>
+<li class="toctree-l3"><a class="reference internal" href="urmfps.html">Urmaev Flat-Polar Sinusoidal</a></li>
+<li class="toctree-l3"><a class="reference internal" href="utm.html">Universal Transverse Mercator (UTM)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="vandg.html">van der Grinten (I)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="vandg2.html">van der Grinten II</a></li>
+<li class="toctree-l3"><a class="reference internal" href="vandg3.html">van der Grinten III</a></li>
+<li class="toctree-l3"><a class="reference internal" href="vandg4.html">van der Grinten IV</a></li>
+<li class="toctree-l3"><a class="reference internal" href="vitk1.html">Vitkovsky I</a></li>
+<li class="toctree-l3"><a class="reference internal" href="wag1.html">Wagner I (Kavrayskiy VI)</a></li>
+<li class="toctree-l3"><a class="reference internal" href="wag2.html">Wagner II</a></li>
+<li class="toctree-l3"><a class="reference internal" href="wag3.html">Wagner III</a></li>
+<li class="toctree-l3"><a class="reference internal" href="wag4.html">Wagner IV</a></li>
+<li class="toctree-l3"><a class="reference internal" href="wag5.html">Wagner V</a></li>
+<li class="toctree-l3"><a class="reference internal" href="wag6.html">Wagner VI</a></li>
+<li class="toctree-l3"><a class="reference internal" href="wag7.html">Wagner VII</a></li>
+<li class="toctree-l3"><a class="reference internal" href="webmerc.html">Web Mercator / Pseudo Mercator</a></li>
+<li class="toctree-l3"><a class="reference internal" href="weren.html">Werenskiold I</a></li>
+<li class="toctree-l3"><a class="reference internal" href="wink1.html">Winkel I</a></li>
+<li class="toctree-l3"><a class="reference internal" href="wink2.html">Winkel II</a></li>
+<li class="toctree-l3"><a class="reference internal" href="wintri.html">Winkel Tripel</a></li>
+</ul>
+</li>
+<li class="toctree-l2"><a class="reference internal" href="../conversions/index.html">Conversions</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../transformations/index.html">Transformations</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../pipeline.html">The pipeline operator</a></li>
+<li class="toctree-l2"><a class="reference internal" href="../operations_computation.html">Computation of coordinate operations between two CRS</a></li>
+</ul>
+</li>
+<li class="toctree-l1"><a class="reference internal" href="../../resource_files.html">Resource files</a></li>
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+ <div itemprop="articleBody">
+
+ <section id="central-conic">
+<span id="ccon"></span><h1>Central Conic<a class="headerlink" href="#central-conic" title="Permalink to this headline">¶</a></h1>
+<div class="versionadded">
+<p><span class="versionmodified added">New in version 5.0.0.</span></p>
+</div>
+<p>This is central (centrographic) projection on cone tangent at :option:<code class="docutils literal notranslate"><span class="pre">lat_1</span></code>
+latitude, identical with <code class="docutils literal notranslate"><span class="pre">conic()</span></code> projection from <code class="docutils literal notranslate"><span class="pre">mapproj</span></code> R package.</p>
+<table class="docutils align-default">
+<colgroup>
+<col style="width: 27%" />
+<col style="width: 73%" />
+</colgroup>
+<tbody>
+<tr class="row-odd"><td><p><strong>Classification</strong></p></td>
+<td><p>Conic</p></td>
+</tr>
+<tr class="row-even"><td><p><strong>Available forms</strong></p></td>
+<td><p>Forward and inverse, spherical projection</p></td>
+</tr>
+<tr class="row-odd"><td><p><strong>Defined area</strong></p></td>
+<td><p>Global, but best used near the standard parallel</p></td>
+</tr>
+<tr class="row-even"><td><p><strong>Alias</strong></p></td>
+<td><p>ccon</p></td>
+</tr>
+<tr class="row-odd"><td><p><strong>Domain</strong></p></td>
+<td><p>2D</p></td>
+</tr>
+<tr class="row-even"><td><p><strong>Input type</strong></p></td>
+<td><p>Geodetic coordinates</p></td>
+</tr>
+<tr class="row-odd"><td><p><strong>Output type</strong></p></td>
+<td><p>Projected coordinates</p></td>
+</tr>
+</tbody>
+</table>
+<figure class="align-center" id="id4">
+<a class="reference internal image-reference" href="../../_images/ccon.png"><img alt="Central Conic" src="../../_images/ccon.png" style="width: 500px;" /></a>
+<figcaption>
+<p><span class="caption-text">proj-string: <code class="docutils literal notranslate"><span class="pre">+proj=ccon</span> <span class="pre">+lat_1=52</span> <span class="pre">+lon_0=19</span></code></span><a class="headerlink" href="#id4" title="Permalink to this image">¶</a></p>
+</figcaption>
+</figure>
+<section id="usage">
+<h2>Usage<a class="headerlink" href="#usage" title="Permalink to this headline">¶</a></h2>
+<p>This simple projection is rarely used, as it is not equidistant, equal-area, nor
+conformal.</p>
+<p>An example of usage (and the main reason to implement this projection in proj4)
+is the ATPOL geobotanical grid of Poland, developed in Institute of Botany,
+Jagiellonian University, Krakow, Poland in 1970s <span id="id1">[<a class="reference internal" href="../../zreferences.html#id43" title="Zajaç, A. Atlas of distribution of vascular plants in Poland (ATPOL). Taxon, 27(5/6):481–484, 1978. doi:10.2307/1219899.">Zajac1978</a>]</span>. The grid was
+originally handwritten on paper maps and further copied by hand. The projection
+(together with strange Earth radius) was chosen by its creators as the compromise
+fit to existing maps during first software development in DOS era. Many years later
+it is still de facto standard grid in Polish geobotanical research.</p>
+<p>The ATPOL coordinates can be achieved with with the following parameters:</p>
+<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>+proj=ccon +lat_1=52 +lon_0=19 +axis=esu +a=6390000 +x_0=330000 +y_0=-350000
+</pre></div>
+</div>
+<p>For more information see <span id="id2">[<a class="reference internal" href="../../zreferences.html#id23" title="Komsta, Ł. ATPOL geobotanical grid revisited – a proposal of coordinate conversion algorithms. Annales UMCS Sectio E Agricultura, 71(1):31–37, 2016.">Komsta2016</a>]</span> and <span id="id3">[<a class="reference internal" href="../../zreferences.html#id40" title="Verey, M. Theoretical analysis and practical consequences of adopting a model ATPOL grid as a conical projection defining the conversion of plane coordinates to the WGS 84 ellipsoid. Fragmenta Floristica et Geobotanica Polonica, 24(2):469–488, 2017. URL: http://bomax.botany.pl/pubs-new/#article-4279.">Verey2017</a>]</span>.</p>
+</section>
+<section id="parameters">
+<h2>Parameters<a class="headerlink" href="#parameters" title="Permalink to this headline">¶</a></h2>
+<section id="required">
+<h3>Required<a class="headerlink" href="#required" title="Permalink to this headline">¶</a></h3>
+<dl class="std option">
+<dt class="sig sig-object std" id="cmdoption-arg-lat_1">
+<span id="cmdoption-arg-lat-1"></span><span class="sig-name descname"><span class="pre">+lat_1</span></span><span class="sig-prename descclassname"><span class="pre">=&lt;value&gt;</span></span><a class="headerlink" href="#cmdoption-arg-lat_1" title="Permalink to this definition">¶</a></dt>
+<dd><p>Standard parallel of projection.</p>
+</dd></dl>
+
+</section>
+<section id="optional">
+<h3>Optional<a class="headerlink" href="#optional" title="Permalink to this headline">¶</a></h3>
+<dl class="std option">
+<dt class="sig sig-object std" id="cmdoption-arg-lon_0">
+<span id="cmdoption-arg-lon-0"></span><span class="sig-name descname"><span class="pre">+lon_0</span></span><span class="sig-prename descclassname"><span class="pre">=&lt;value&gt;</span></span><a class="headerlink" href="#cmdoption-arg-lon_0" title="Permalink to this definition">¶</a></dt>
+<dd><p>Longitude of projection center.</p>
+<p><em>Defaults to 0.0.</em></p>
+</dd></dl>
+
+<dl class="std option">
+<dt class="sig sig-object std" id="cmdoption-arg-R">
+<span id="cmdoption-arg-r"></span><span class="sig-name descname"><span class="pre">+R</span></span><span class="sig-prename descclassname"><span class="pre">=&lt;value&gt;</span></span><a class="headerlink" href="#cmdoption-arg-R" title="Permalink to this definition">¶</a></dt>
+<dd><p>Radius of the sphere, given in meters. If used in conjunction with
+<code class="docutils literal notranslate"><span class="pre">+ellps</span></code>, <a class="reference internal" href="../../usage/ellipsoids.html#cmdoption-arg-R"><code class="xref std std-option docutils literal notranslate"><span class="pre">+R</span></code></a> takes precedence.</p>
+<p>See <a class="reference internal" href="../../usage/ellipsoids.html#ellipsoid-size-parameters"><span class="std std-ref">Ellipsoid size parameters</span></a> for more information.</p>
+</dd></dl>
+
+<dl class="std option">
+<dt class="sig sig-object std" id="cmdoption-arg-x_0">
+<span id="cmdoption-arg-x-0"></span><span class="sig-name descname"><span class="pre">+x_0</span></span><span class="sig-prename descclassname"><span class="pre">=&lt;value&gt;</span></span><a class="headerlink" href="#cmdoption-arg-x_0" title="Permalink to this definition">¶</a></dt>
+<dd><p>False easting.</p>
+<p><em>Defaults to 0.0.</em></p>
+</dd></dl>
+
+<dl class="std option">
+<dt class="sig sig-object std" id="cmdoption-arg-y_0">
+<span id="cmdoption-arg-y-0"></span><span class="sig-name descname"><span class="pre">+y_0</span></span><span class="sig-prename descclassname"><span class="pre">=&lt;value&gt;</span></span><a class="headerlink" href="#cmdoption-arg-y_0" title="Permalink to this definition">¶</a></dt>
+<dd><p>False northing.</p>
+<p><em>Defaults to 0.0.</em></p>
+</dd></dl>
+
+</section>
+</section>
+<section id="mathematical-definition">
+<h2>Mathematical definition<a class="headerlink" href="#mathematical-definition" title="Permalink to this headline">¶</a></h2>
+<section id="forward-projection">
+<h3>Forward projection<a class="headerlink" href="#forward-projection" title="Permalink to this headline">¶</a></h3>
+<div class="math notranslate nohighlight">
+\[r = \cot \phi_0 - \tan (\phi - \phi_0)\]</div>
+<div class="math notranslate nohighlight">
+\[x = r \sin (\lambda\sin\phi_0)\]</div>
+<div class="math notranslate nohighlight">
+\[y = \cot \phi_0 - r \cos (\lambda\sin\phi_0)\]</div>
+</section>
+<section id="inverse-projection">
+<h3>Inverse projection<a class="headerlink" href="#inverse-projection" title="Permalink to this headline">¶</a></h3>
+<div class="math notranslate nohighlight">
+\[y = \cot \phi_0 - y\]</div>
+<div class="math notranslate nohighlight">
+\[\phi = \phi_0 - \tan^{-1} ( \sqrt{x^2+y^2} - \cot \phi_0 )\]</div>
+<div class="math notranslate nohighlight">
+\[\lambda = \frac{\tan^{-1} \sqrt{x^2+y^2}}{\sin \phi_0}\]</div>
+</section>
+</section>
+<section id="reference-values">
+<h2>Reference values<a class="headerlink" href="#reference-values" title="Permalink to this headline">¶</a></h2>
+<p>For ATPOL to WGS84 test, run the following script:</p>
+<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>#!/bin/bash
+cat &lt;&lt; EOF | src/cs2cs -v -f &quot;%E&quot; +proj=ccon +lat_1=52 +lat_0=52 +lon_0=19 +axis=esu +a=6390000 +x_0=330000 +y_0=-350000 +to +proj=longlat
+0 0
+0 700000
+700000 0
+700000 700000
+330000 350000
+EOF
+</pre></div>
+</div>
+<p>It should result with</p>
+<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>1.384023E+01 5.503040E+01 0.000000E+00
+1.451445E+01 4.877385E+01 0.000000E+00
+2.478271E+01 5.500352E+01 0.000000E+00
+2.402761E+01 4.875048E+01 0.000000E+00
+1.900000E+01 5.200000E+01 0.000000E+00
+</pre></div>
+</div>
+<p>Analogous script can be run for reverse test:</p>
+<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>cat &lt;&lt; EOF | src/cs2cs -v -f &quot;%E&quot; +proj=longlat +to +proj=ccon +lat_1=52 +lat_0=52 +lon_0=19 +axis=esu +a=6390000 +x_0=330000 +y_0=-350000
+24 55
+15 49
+24 49
+19 52
+EOF
+</pre></div>
+</div>
+<p>and it should give the following results:</p>
+<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>6.500315E+05 4.106162E+03 0.000000E+00
+3.707419E+04 6.768262E+05 0.000000E+00
+6.960534E+05 6.722946E+05 0.000000E+00
+3.300000E+05 3.500000E+05 0.000000E+00
+</pre></div>
+</div>
+</section>
+</section>
+
+
+ </div>
+ </div>
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+ <p>&#169; Copyright 1983-2022.
+ <span class="lastupdated">Last updated on 22 Mar 2022.
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