<?xml version="1.0"?>
<div class="add">

<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">b</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">c</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/>





<b>assume </b><b>that </b><br/><a NAME="E1:86"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">b</font>
 <b>and </b><br/><a NAME="E2:86"/><i><font color="Green">E26</font></i>: 
<font color="Maroon">b</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c</font>
 <b>and </b><br/><a NAME="E3:86"/><i><font color="Green">E29</font></i>: 
0 <a href="xxreal_0.html#R1">&lt;</a>  <a href="complex2.html#K4" target="_self">angle</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font>
 <b>and </b><br/><a NAME="E4:86"/><i><font color="Green">E30</font></i>: 
 <a href="complex2.html#K4" target="_self">angle</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font> <a href="xxreal_0.html#R1">&lt;</a>  <a href="sin_cos.html#K35">PI</a> 
 ;<br/>

<i><font color="Green">E31</font></i>:  <a href="complex2.html#K4" target="_self">angle</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<a href="complex1.html#K5">0c</a> ,<span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span> = 
 <a href="complex2.html#K4" target="_self">angle</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>

<br/>.= 
 <a href="complex2.html#K4" target="_self">angle</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font>
<b>by </b><i><a class="ref" href="complex2.html#T24" target="_self">Th24</a></i>
;<br/>
<b>set </b><font color="Maroon">r</font> =  <a href="real_1.html#K1">-</a> <span class="p1">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">A</font> =  <a href="complex2.html#K2" target="_self">Rotate</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p2">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p4">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">B</font> =  <a href="complex2.html#K2" target="_self">Rotate</a> <span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p2">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p4">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span>;<br/>
<a NAME="E6:86"/><i><font color="Green">E32</font></i>: 
 <a href="complex2.html#K2" target="_self">Rotate</a> <a href="complex1.html#K5">0c</a> ,<span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p2">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p4">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="complex1.html#K5">0c</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E7:86"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">a</font> <a href="complex1.html#K11">-</a> <font color="Maroon">b</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 
<b>by </b><i><a class="ref" href="complex2.html#T35" target="_self">Th35</a></i>;<br/>
<a NAME="E8:86"/><i><font color="Green">E48</font></i>: 
<font color="Maroon">c</font> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span>
 
<b>by </b><i><a class="ref" href="complex2.html#T37" target="_self">Th37</a>, </i>;<br/>
<a NAME="E9:86"/><i><font color="Green">E49</font></i>: 
<font color="Maroon">c</font> <a href="complex1.html#K11">-</a> <font color="Maroon">b</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 
<b>by </b><i><a class="ref" href="complex2.html#T36" target="_self">Th36</a></i>;<br/>
<a NAME="E10:86"/><b>then </b><i><font color="Green">E50</font></i>: 
 <a href="complex2.html#K4" target="_self">angle</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<a href="complex1.html#K5">0c</a> ,<span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="complex2.html#K4" target="_self">angle</a> <span class="p1">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p3">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p5">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<a href="complex1.html#K5">0c</a> ,<span class="p1">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <span class="p2">(<span class="default"><font color="Maroon">c</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p3">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p5">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="complex2.html#T40" target="_self">Th40</a>, <a class="ref" href="complex2.html#T41" target="_self">Th41</a>, </i>;<br/>
<a NAME="E11:86"/><i><font color="Green">E51</font></i>: 
 <a href="complex2.html#K2" target="_self">Rotate</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p2">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p3">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p4">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="complex1.html#K17">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span><a href="complex1.html#K17">.|</a></span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default">0 <a href="xcmplx_0.html#K3">*</a> <a href="complex1.html#K7">&lt;i&gt;</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="complex1.html#T27">COMPLEX1:27</a>, <a class="ref" href="sin_cos.html#T34">SIN_COS:34</a></i>;<br/>
<a NAME="E12:86"/><b>then </b><i><font color="Green">E52</font></i>: 
 <a href="complex1.html#K4">Im</a> <span class="p1">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p3">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p5">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="ref" href="complex1.html#T28">COMPLEX1:28</a></i>;<br/>
<a NAME="E13:86"/>
<font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="complex1.html#K5">0c</a> 
 
<b>by </b><i><a class="ref" href="complex2.html#T35" target="_self">Th35</a></i>;<br/>
<a NAME="E14:86"/><b>then </b>
<span class="p1"><a href="complex1.html#K17">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span><a href="complex1.html#K17">.|</a></span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
<b>by </b><i><a class="ref" href="complex1.html#T133">COMPLEX1:133</a></i>;<br/>
<a NAME="E15:86"/><b>then </b><i><font color="Green">E68</font></i>: 
 <a href="complex1.html#K3">Re</a> <span class="p1">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p3">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p5">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
<b>by </b><i><a class="ref" href="complex2.html#T44" target="_self">Th44</a>, <a class="ref" href="complex1.html#T28">COMPLEX1:28</a></i>;<br/>
<a NAME="E16:86"/><b>then </b><i><font color="Green">E69</font></i>: 
 <a href="comptrig.html#K1">Arg</a> <span class="p1">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p3">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p5">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="complex1.html#K5">0c</a> 
 
<b>by </b><i><a class="ref" href="complex2.html#T45" target="_self">Th45</a>, <a class="ref" href="complex2.html#T2" target="_self">Th2</a></i>;<br/>
<a NAME="E17:86"/><b>then </b>
<span class="p1">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <span class="p4">(<span class="default"><font color="Maroon">c</font> <a href="complex1.html#K8">+</a> <span class="p5">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p5">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p0">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="complex1.html#K11">-</a> <a href="complex1.html#K5">0c</a> </span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p5">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p5">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p0">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="complex1.html#K11">-</a> <a href="complex1.html#K5">0c</a> </span>)</span></span>)</span> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0
 
<b>by </b><i><a class="ref" href="comptrig.html#T52">COMPTRIG:52</a></i>;<br/>
<a NAME="E18:86"/><b>then </b><i><font color="Green">E70</font></i>: 
 <a href="complex2.html#K4" target="_self">angle</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font> <a href="hidden.html#R1">=</a>  <a href="comptrig.html#K1">Arg</a> <span class="p1">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <span class="p2">(<span class="default"><font color="Maroon">c</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p3">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p5">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="complex2.html#T39" target="_self">Th39</a>, <a class="ref" href="complex2.html#T43" target="_self">Th43</a>, <a class="ref" href="complex2.html#T49" target="_self">Th49</a>, <a class="ref" href="complex2.html#T21" target="_self">Th21</a></i>;<br/>
<i><font color="Green">E120</font></i>:  <a href="complex2.html#K4" target="_self">angle</a> <font color="Maroon">b</font>,<font color="Maroon">c</font>,<font color="Maroon">a</font> = 
 <a href="complex2.html#K4" target="_self">angle</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complex2.html#T24" target="_self">Th24</a></i>
<br/>.= 
 <a href="complex2.html#K4" target="_self">angle</a> <a href="complex1.html#K5">0c</a> ,<span class="p1">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <span class="p2">(<span class="default"><font color="Maroon">c</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p3">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p5">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p3">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p5">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complex2.html#T40" target="_self">Th40</a>, , <a class="ref" href="complex2.html#T42" target="_self">Th42</a>, </i>
;<br/>
<i><font color="Green">E121</font></i>:  <a href="complex2.html#K4" target="_self">angle</a> <font color="Maroon">c</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font> = 
 <a href="complex2.html#K4" target="_self">angle</a> <span class="p1">(<span class="default"><font color="Maroon">c</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complex2.html#T24" target="_self">Th24</a></i>
<br/>.= 
 <a href="complex2.html#K4" target="_self">angle</a> <span class="p1">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <span class="p2">(<span class="default"><font color="Maroon">c</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p3">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p5">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="complex2.html#K2" target="_self">Rotate</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p3">(<span class="default"><a href="comptrig.html#K1">Arg</a> <span class="p4">(<span class="default"><font color="Maroon">a</font> <a href="complex1.html#K8">+</a> <span class="p5">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">b</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span>,<a href="complex1.html#K5">0c</a> 
<b>by </b><i><a class="ref" href="complex2.html#T40" target="_self">Th40</a>, <a class="ref" href="complex2.html#T41" target="_self">Th41</a>, , </i>
;<br/>
<b>hence </b><a NAME="E21:86"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="complex2.html#K4" target="_self">angle</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p2">(<span class="default"><a href="complex2.html#K4" target="_self">angle</a> <font color="Maroon">b</font>,<font color="Maroon">c</font>,<font color="Maroon">a</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="complex2.html#K4" target="_self">angle</a> <font color="Maroon">c</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="sin_cos.html#K35">PI</a> 
 <b>by </b><i><a class="ref" href="complex2.html#T37" target="_self">Th37</a>, <a class="ref" href="complex2.html#T38" target="_self">Th38</a>, <a class="ref" href="complex2.html#T39" target="_self">Th39</a>, <a class="ref" href="complex2.html#T43" target="_self">Th43</a>, <a class="ref" href="complex2.html#T45" target="_self">Th45</a>, <a class="ref" href="complex2.html#T47" target="_self">Th47</a>, <a class="ref" href="complex2.html#T51" target="_self">Th51</a>, <a class="ref" href="complex2.html#T55" target="_self">Th55</a>, <a class="txt" href="complex2.html#E18:86"><i><font color="Green">E70</font></i></a></i>;<br/>

<b>thus </b><a NAME="E22:86"/>
0 <a href="xxreal_0.html#R1">&lt;</a>  <a href="complex2.html#K4" target="_self">angle</a> <font color="Maroon">b</font>,<font color="Maroon">c</font>,<font color="Maroon">a</font>
 <b>by </b><i><a class="ref" href="complex2.html#T37" target="_self">Th37</a>, <a class="ref" href="complex2.html#T38" target="_self">Th38</a>, <a class="ref" href="complex2.html#T45" target="_self">Th45</a>, <a class="ref" href="complex2.html#T47" target="_self">Th47</a>, <a class="ref" href="complex2.html#T51" target="_self">Th51</a>, <a class="ref" href="complex2.html#T55" target="_self">Th55</a>, <a class="txt" href="complex2.html#E18:86"><i><font color="Green">E70</font></i></a></i>;<br/>

<b>thus </b><a NAME="E23:86"/>
0 <a href="xxreal_0.html#R1">&lt;</a>  <a href="complex2.html#K4" target="_self">angle</a> <font color="Maroon">c</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font>
 <b>by </b><i><a class="ref" href="complex2.html#T37" target="_self">Th37</a>, <a class="ref" href="complex2.html#T38" target="_self">Th38</a>, <a class="ref" href="complex2.html#T45" target="_self">Th45</a>, <a class="ref" href="complex2.html#T47" target="_self">Th47</a>, <a class="ref" href="complex2.html#T51" target="_self">Th51</a>, <a class="ref" href="complex2.html#T57" target="_self">Th57</a>, <a class="txt" href="complex2.html#E18:86"><i><font color="Green">E70</font></i></a></i>;<br/>


</div>
