<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E26">Thm19</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: EUCLID10:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font>, <font color="Olive" title="b3">C</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span>  st <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font>,<font color="Olive" title="b3">C</font> <a href="euclid_6.html#NR1" title="EUCLID_6:NR.1">is_a_triangle</a>  holds <br/>(  not  <a href="euclid_3.html#K4" title="EUCLID_3:func.4">angle</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font>,<font color="Olive" title="b3">C</font>) is  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  &amp;  not  <a href="euclid_3.html#K4" title="EUCLID_3:func.4">angle</a> (<font color="Olive" title="b2">B</font>,<font color="Olive" title="b3">C</font>,<font color="Olive" title="b1">A</font>) is  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  &amp;  not  <a href="euclid_3.html#K4" title="EUCLID_3:func.4">angle</a> (<font color="Olive" title="b3">C</font>,<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font>) is  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  &amp;  not  <a href="euclid_3.html#K4" title="EUCLID_3:func.4">angle</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b3">C</font>,<font color="Olive" title="b2">B</font>) is  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  &amp;  not  <a href="euclid_3.html#K4" title="EUCLID_3:func.4">angle</a> (<font color="Olive" title="b3">C</font>,<font color="Olive" title="b2">B</font>,<font color="Olive" title="b1">A</font>) is  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  &amp;  not  <a href="euclid_3.html#K4" title="EUCLID_3:func.4">angle</a> (<font color="Olive" title="b2">B</font>,<font color="Olive" title="b1">A</font>,<font color="Olive" title="b3">C</font>) is  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  )</div></div>
