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<b>let </b><font color="Maroon" title="c1">z1</font>, <font color="Maroon" title="c2">z2</font> be    <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> ;<br/>



<b>thus </b> <a href="euclid_3.html#K1" title="EUCLID_3:func.1">cpx2euc</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">z1</font> <a href="complex1.html#K11" title="COMPLEX1:func.11">-</a> <font color="Maroon" title="c2">z2</font></span>)</span> = 
 <a href="euclid_3.html#K1" title="EUCLID_3:func.1">cpx2euc</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">z1</font> <a href="complex1.html#K8" title="COMPLEX1:func.8">+</a> <span class="p2">(<span class="default"><a href="complex1.html#K10" title="COMPLEX1:func.10">-</a> <font color="Maroon" title="c2">z2</font></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="euclid_3.html#K1" title="EUCLID_3:func.1">cpx2euc</a> <font color="Maroon" title="c1">z1</font></span>)</span> <a href="euclid.html#K17" title="EUCLID:func.17">+</a> <span class="p1">(<span class="default"><a href="euclid_3.html#K1" title="EUCLID_3:func.1">cpx2euc</a> <span class="p2">(<span class="default"><a href="complex1.html#K10" title="COMPLEX1:func.10">-</a> <font color="Maroon" title="c2">z2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="euclid_3.html#T11" target="_self" title="EUCLID_3:th.11">Th11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="euclid_3.html#K1" title="EUCLID_3:func.1">cpx2euc</a> <font color="Maroon" title="c1">z1</font></span>)</span> <a href="euclid.html#K20" title="EUCLID:func.20">-</a> <span class="p1">(<span class="default"><a href="euclid_3.html#K1" title="EUCLID_3:func.1">cpx2euc</a> <font color="Maroon" title="c2">z2</font></span>)</span>
<b>by </b><i><a class="ref" href="euclid_3.html#T15" target="_self" title="EUCLID_3:th.15">Th15</a></i>
;<br/>


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