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<b>let </b><font color="Maroon">a</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/><b>let </b><font color="Maroon">r</font> be   <a href="real_1.html#NM1">Real</a>;<br/>



<b>assume </b><a NAME="E1:59"/>
<font color="Maroon">r</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0
 ;<br/>

<a NAME="E2:59"/><b>then </b>
 <a href="comptrig.html#K1">Arg</a> <span class="p1"><a href="arytm_0.html#K5">[*</a><span class="default"><font color="Maroon">r</font>,0</span><a href="arytm_0.html#K5">*]</a></span> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i/>;<br/>
<b>hence </b> <a href="complex2.html#K3" target="_self">angle</a> <span class="p1"><a href="arytm_0.html#K5">[*</a><span class="default"><font color="Maroon">r</font>,0</span><a href="arytm_0.html#K5">*]</a></span>,<font color="Maroon">a</font> = 
 <a href="comptrig.html#K1">Arg</a> <span class="p1">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 0</span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="comptrig.html#K1">Arg</a> <font color="Maroon">a</font>
<b>by </b><i/>
;<br/><br/>


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