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<b>let </b><font color="Maroon">IPP</font> be  <a href="incproj.html#V6">2-dimensional</a> <a href="incproj.html#V10">Desarguesian</a> <a href="incproj.html#NM2">IncProjSp</a>;<br/><b>let </b><font color="Maroon">A</font> be   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font>;<br/><b>let </b><font color="Maroon">B</font> be   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font>;<br/><b>let </b><font color="Maroon">C</font> be   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font>;<br/>







<b>assume </b><a NAME="E1:5"/>
<font color="Maroon">A</font>,<font color="Maroon">B</font>,<font color="Maroon">C</font> <a href="projred2.html#R1" target="_self">are_concurrent</a> 
 ;<br/>

<a NAME="E2:5"/><b>then </b>
 ex <font color="Olive">o</font> being  <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font> st <br/>( <font color="Olive">o</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">A</font> &amp; <font color="Olive">o</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">B</font> &amp; <font color="Olive">o</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">C</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:5"/>
( <font color="Maroon">A</font>,<font color="Maroon">C</font>,<font color="Maroon">B</font> <a href="projred2.html#R1" target="_self">are_concurrent</a>  &amp; <font color="Maroon">B</font>,<font color="Maroon">A</font>,<font color="Maroon">C</font> <a href="projred2.html#R1" target="_self">are_concurrent</a>  &amp; <font color="Maroon">B</font>,<font color="Maroon">C</font>,<font color="Maroon">A</font> <a href="projred2.html#R1" target="_self">are_concurrent</a>  &amp; <font color="Maroon">C</font>,<font color="Maroon">A</font>,<font color="Maroon">B</font> <a href="projred2.html#R1" target="_self">are_concurrent</a>  &amp; <font color="Maroon">C</font>,<font color="Maroon">B</font>,<font color="Maroon">A</font> <a href="projred2.html#R1" target="_self">are_concurrent</a>  )
 <b>by </b><i/>;<br/>


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