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<b>let </b><font color="Maroon">z</font> be  <a href="quaterni.html#V1" target="_self">quaternion</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>

<b>assume </b><a NAME="E1:55"/>
<font color="Maroon">z</font> <a href="hidden.html#R1">=</a> 0
 ;<br/>

<a NAME="E2:55"/><b>then </b>
(  <a href="quaterni.html#K17" target="_self">Rea</a> <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> 0 &amp;  <a href="quaterni.html#K18" target="_self">Im1</a> <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> 0 &amp;  <a href="quaterni.html#K19" target="_self">Im2</a> <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> 0 &amp;  <a href="quaterni.html#K20" target="_self">Im3</a> <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> 0 )
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E3:55"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="quaterni.html#K17" target="_self">Rea</a> <font color="Maroon">z</font></span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="quaterni.html#K18" target="_self">Im1</a> <font color="Maroon">z</font></span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="quaterni.html#K19" target="_self">Im2</a> <font color="Maroon">z</font></span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="quaterni.html#K20" target="_self">Im3</a> <font color="Maroon">z</font></span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="hidden.html#R1">=</a> 0
 ;<br/>


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