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<div><span class="kw">theorem </span><a NAME="T62"><span class="comment"><font color="firebrick">:: ANPROJ10:62</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">P</font>, <font color="Olive" title="b3">Q</font>, <font color="Olive" title="b4">R</font>, <font color="Olive" title="b5">S</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">V</font>  st <font color="Olive" title="b2">P</font>,<font color="Olive" title="b3">Q</font>,<font color="Olive" title="b4">R</font>,<font color="Olive" title="b5">S</font> <a href="rltopsp1.html#R2" title="RLTOPSP1:pred.2">are_collinear</a>  &amp; <font color="Olive" title="b2">P</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b4">R</font> &amp; <font color="Olive" title="b2">P</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b5">S</font> &amp; <font color="Olive" title="b4">R</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">Q</font> &amp; <font color="Olive" title="b5">S</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">Q</font> holds <br/> <a href="anproj10.html#K28" title="ANPROJ10:func.28">cross-ratio</a> (<font color="Olive" title="b5">S</font>,<font color="Olive" title="b4">R</font>,<font color="Olive" title="b2">P</font>,<font color="Olive" title="b3">Q</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <span class="p1">(<span class="default"><a href="anproj10.html#K28" title="ANPROJ10:func.28">cross-ratio</a> (<font color="Olive" title="b2">P</font>,<font color="Olive" title="b3">Q</font>,<font color="Olive" title="b4">R</font>,<font color="Olive" title="b5">S</font>)</span>)</span></div></div>
