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<div><span class="kw">theorem </span><a NAME="T46"><span class="comment"><font color="firebrick">:: EUCLID13:46</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="b2">B</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">C</font> &amp;  <a href="euclid13.html#K2" title="EUCLID13:func.2">the_foot_of_the_altitude</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font>,<font color="Olive" title="b3">C</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">A</font> holds <br/><font color="Olive" title="b1">A</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="rltopsp1.html#K5" title="RLTOPSP1:func.5">Line</a> (<font color="Olive" title="b2">B</font>,<font color="Olive" title="b3">C</font>) <span class="kw">by</span> <span class="lab"><a class="ref" href="euclid13.html#T43" target="_self" onmouseover="rs('euclid13/T43')" onmouseout="rh()">Th35</a></span>;<br/></div></div>
