<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T49"><span class="comment"><font color="firebrick">:: EUCLID_6:49</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">c1</font>, <font color="Olive" title="b2">c2</font>, <font color="Olive" title="b3">c3</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a>   holds <br/>( <span class="p1">(<span class="default"><a href="complex2.html#K3" title="COMPLEX2:func.3">angle</a> (<font color="Olive" title="b1">c1</font>,<font color="Olive" title="b2">c2</font>)</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="complex2.html#K3" title="COMPLEX2:func.3">angle</a> (<font color="Olive" title="b2">c2</font>,<font color="Olive" title="b3">c3</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="complex2.html#K3" title="COMPLEX2:func.3">angle</a> (<font color="Olive" title="b1">c1</font>,<font color="Olive" title="b3">c3</font>) or <span class="p1">(<span class="default"><a href="complex2.html#K3" title="COMPLEX2:func.3">angle</a> (<font color="Olive" title="b1">c1</font>,<font color="Olive" title="b2">c2</font>)</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="complex2.html#K3" title="COMPLEX2:func.3">angle</a> (<font color="Olive" title="b2">c2</font>,<font color="Olive" title="b3">c3</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="complex2.html#K3" title="COMPLEX2:func.3">angle</a> (<font color="Olive" title="b1">c1</font>,<font color="Olive" title="b3">c3</font>)</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default">2 <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="sin_cos.html#K28" title="SIN_COS:func.28">PI</a></span>)</span> ) <span class="kw">by</span> <span class="lab"><a class="txt" href="euclid_6.html#E17"><span class="lab"><font color="Green" title="E17">Lm14</font></span></a></span>;<br/></div></div>
