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<div>:: <span class="kw">deftheorem </span>   defines <a href="menelaus.html#R1" title="MENELAUS:pred.1">are_concurrent</a> <a onclick="hs(this)" href="javascript:()">MENELAUS:def 1 : <br/></a><span> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font>, <font color="Olive" title="b3">Z</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span> holds <br/> ( <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>,<font color="Olive" title="b3">Z</font> <a href="menelaus.html#R1" title="MENELAUS:pred.1">are_concurrent</a>  iff ( ( <font color="Olive" title="b1">X</font> <a href="menelaus.html#NR1" title="MENELAUS:NR.1">is_parallel_to</a> <font color="Olive" title="b2">Y</font> &amp; <font color="Olive" title="b2">Y</font> <a href="menelaus.html#NR1" title="MENELAUS:NR.1">is_parallel_to</a> <font color="Olive" title="b3">Z</font> &amp; <font color="Olive" title="b3">Z</font> <a href="menelaus.html#NR1" title="MENELAUS:NR.1">is_parallel_to</a> <font color="Olive" title="b1">X</font> ) or  ex <font color="Olive" title="b4">A</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 <br/>( <font color="Olive" title="b4">A</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> &amp; <font color="Olive" title="b4">A</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">Y</font> &amp; <font color="Olive" title="b4">A</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">Z</font> ) ) );<br/></span></div>
