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<b>let </b><font color="Maroon">a</font> be   <a href="algstr_3.html#NM1">Scalar</a> of <a href="algstr_3.html#K4" target="_self">TernaryFieldEx</a> , <font color="Maroon">a'</font> be   <a href="algstr_3.html#NM1">Scalar</a> of <a href="algstr_3.html#K4" target="_self">TernaryFieldEx</a> ;<br/>

<b>assume </b><a NAME="E1:17"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">a'</font>
 ;<br/>

<b>let </b><font color="Maroon">b</font> be   <a href="algstr_3.html#NM1">Scalar</a> of <a href="algstr_3.html#K4" target="_self">TernaryFieldEx</a> , <font color="Maroon">b'</font> be   <a href="algstr_3.html#NM1">Scalar</a> of <a href="algstr_3.html#K4" target="_self">TernaryFieldEx</a> ;<br/>

<b>reconsider </b><font color="Maroon">x</font> = <font color="Maroon">a</font>, <font color="Maroon">x'</font> = <font color="Maroon">a'</font>, <font color="Maroon">y</font> = <font color="Maroon">b</font>, <font color="Maroon">y'</font> = <font color="Maroon">b'</font> as   <a href="real_1.html#NM1">Real</a> ;<br/>
<b>set </b><font color="Maroon">s</font> = <span class="p1">(<span class="default"><font color="Maroon">y'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">y</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><font color="Maroon">x'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">x</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">t</font> = <font color="Maroon">y</font> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">y'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">y</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p3">(<span class="default"><font color="Maroon">x'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">x</font></span>)</span></span>)</span></span>)</span>;<br/>
<b>reconsider </b><font color="Maroon">u</font> = <span class="p1">(<span class="default"><font color="Maroon">y'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">y</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><font color="Maroon">x'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">x</font></span>)</span>, <font color="Maroon">v</font> = <font color="Maroon">y</font> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">y'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">y</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p3">(<span class="default"><font color="Maroon">x'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">x</font></span>)</span></span>)</span></span>)</span> as   <a href="algstr_3.html#NM1">Scalar</a> of <a href="algstr_3.html#K4" target="_self">TernaryFieldEx</a>  ;<br/>
<b>take </b>
<font color="Maroon">u</font>
;<br/>

<b>take </b>
<font color="Maroon">v</font>
;<br/>

<b>thus </b> <a href="algstr_3.html#K1" target="_self">Tern</a> <font color="Maroon">u</font>,<font color="Maroon">a</font>,<font color="Maroon">v</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">y'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">y</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p3">(<span class="default"><font color="Maroon">x'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">x</font></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">y'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">y</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p5">(<span class="default"><font color="Maroon">x'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <font color="Maroon">y</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">b</font>

;<br/>

<a NAME="E5:17"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">x'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">x</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 
<b>by </b><i/>;<br/>
<b>thus </b> <a href="algstr_3.html#K1" target="_self">Tern</a> <font color="Maroon">u</font>,<font color="Maroon">a'</font>,<font color="Maroon">v</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">y'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">y</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p3">(<span class="default"><font color="Maroon">x'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">x'</font></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">y'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">y</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p5">(<span class="default"><font color="Maroon">x'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">x</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <font color="Maroon">y</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">y'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">y</font></span>)</span> <a href="real_1.html#K6">/</a> <span class="p3">(<span class="default"><font color="Maroon">x'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">x'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <font color="Maroon">y</font>

<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">y'</font> <a href="real_1.html#K5">-</a> <font color="Maroon">y</font></span>)</span> <a href="real_1.html#K3">+</a> <font color="Maroon">y</font>
<b>by </b><i>, <a class="ref" href="xcmplx_1.html#T88">XCMPLX_1:88</a></i>
<br/>.= 
<font color="Maroon">b'</font>

;<br/>


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