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

<b>let </b><font color="Maroon">z1</font> be  <a href="quaterni.html#V1" target="_self">quaternion</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">z2</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="E1:51"/>
(  <a href="quaterni.html#K17" target="_self">Rea</a> <font color="Maroon">z1</font> <a href="hidden.html#R1">=</a>  <a href="quaterni.html#K17" target="_self">Rea</a> <font color="Maroon">z2</font> &amp;  <a href="quaterni.html#K18" target="_self">Im1</a> <font color="Maroon">z1</font> <a href="hidden.html#R1">=</a>  <a href="quaterni.html#K18" target="_self">Im1</a> <font color="Maroon">z2</font> &amp;  <a href="quaterni.html#K19" target="_self">Im2</a> <font color="Maroon">z1</font> <a href="hidden.html#R1">=</a>  <a href="quaterni.html#K19" target="_self">Im2</a> <font color="Maroon">z2</font> &amp;  <a href="quaterni.html#K20" target="_self">Im3</a> <font color="Maroon">z1</font> <a href="hidden.html#R1">=</a>  <a href="quaterni.html#K20" target="_self">Im3</a> <font color="Maroon">z2</font> )
 ;<br/>

<b>hence </b><font color="Maroon">z1</font> = 
<span class="p1"><a href="quaterni.html#K6" target="_self">[*</a><span class="default"><span class="p2">(<span class="default"><a href="quaterni.html#K17" target="_self">Rea</a> <font color="Maroon">z2</font></span>)</span>,<span class="p2">(<span class="default"><a href="quaterni.html#K18" target="_self">Im1</a> <font color="Maroon">z2</font></span>)</span>,<span class="p2">(<span class="default"><a href="quaterni.html#K19" target="_self">Im2</a> <font color="Maroon">z2</font></span>)</span>,<span class="p2">(<span class="default"><a href="quaterni.html#K20" target="_self">Im3</a> <font color="Maroon">z2</font></span>)</span></span><a href="quaterni.html#K6" target="_self">*]</a></span>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">z2</font>
<b>by </b><i/>
;<br/><br/>


</div>
