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<b>let </b><font color="Maroon">x</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">y</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">z</font> be   <a href="real_1.html#NM1">Real</a>;<br/>





<i><font color="Green">E34</font></i>: <span class="p1"><a href="euclid_5.html#K4" target="_self">|[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">z</font></span><a href="euclid_5.html#K4" target="_self">]|</a></span> <a href="euclid_5.html#K1" target="_self">`1</a>  = 
<span class="p1"><a href="finseq_4.html#K3">&lt;*</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">z</font></span><a href="finseq_4.html#K3">*&gt;</a></span> <a href="seq_1.html#K2">.</a> 1
<b>by </b><i/>
<br/>.= 
<font color="Maroon">x</font>
<b>by </b><i><a class="ref" href="finseq_1.html#T62">FINSEQ_1:62</a></i>
;<br/>
<i><font color="Green">E35</font></i>: <span class="p1"><a href="euclid_5.html#K4" target="_self">|[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">z</font></span><a href="euclid_5.html#K4" target="_self">]|</a></span> <a href="euclid_5.html#K2" target="_self">`2</a>  = 
<span class="p1"><a href="finseq_4.html#K3">&lt;*</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">z</font></span><a href="finseq_4.html#K3">*&gt;</a></span> <a href="seq_1.html#K2">.</a> 2
<b>by </b><i/>
<br/>.= 
<font color="Maroon">y</font>
<b>by </b><i><a class="ref" href="finseq_1.html#T62">FINSEQ_1:62</a></i>
;<br/>
<span class="p1"><a href="euclid_5.html#K4" target="_self">|[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">z</font></span><a href="euclid_5.html#K4" target="_self">]|</a></span> <a href="euclid_5.html#K3" target="_self">`3</a>  = 
<span class="p1"><a href="finseq_4.html#K3">&lt;*</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">z</font></span><a href="finseq_4.html#K3">*&gt;</a></span> <a href="seq_1.html#K2">.</a> 3
<b>by </b><i/>
<br/>.= 
<font color="Maroon">z</font>
<b>by </b><i><a class="ref" href="finseq_1.html#T62">FINSEQ_1:62</a></i>
;<br/>
<b>hence </b><a NAME="E4:4"/>
( <span class="p1"><a href="euclid_5.html#K4" target="_self">|[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">z</font></span><a href="euclid_5.html#K4" target="_self">]|</a></span> <a href="euclid_5.html#K1" target="_self">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> &amp; <span class="p1"><a href="euclid_5.html#K4" target="_self">|[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">z</font></span><a href="euclid_5.html#K4" target="_self">]|</a></span> <a href="euclid_5.html#K2" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">y</font> &amp; <span class="p1"><a href="euclid_5.html#K4" target="_self">|[</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font>,<font color="Maroon">z</font></span><a href="euclid_5.html#K4" target="_self">]|</a></span> <a href="euclid_5.html#K3" target="_self">`3</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">z</font> )
 <b>by </b><i>, </i>;<br/>


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