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<b>let </b><font color="Maroon">G</font> be    <a href="incsp_1.html#L1">IncProjStr</a> ;<br/><b>let </b><font color="Maroon">a</font> be   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">c</font> be   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">G</font>;<br/>







<b>assume </b><a NAME="E1:19"/>
<font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font> <a href="projpl_1.html#R4" target="_self">is_collinear</a> 
 ;<br/>

<b>then consider </b><font color="Maroon">P</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">G</font><b> such that </b><br/><a NAME="E3:19"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font> <a href="incproj.html#R4">on</a> <font color="Maroon">P</font>
 <b>by </b><i/>;<br/>
<a NAME="E4:19"/>
( <font color="Maroon">a</font>,<font color="Maroon">c</font>,<font color="Maroon">b</font> <a href="incproj.html#R4">on</a> <font color="Maroon">P</font> &amp; <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">c</font> <a href="incproj.html#R4">on</a> <font color="Maroon">P</font> &amp; <font color="Maroon">b</font>,<font color="Maroon">c</font>,<font color="Maroon">a</font> <a href="incproj.html#R4">on</a> <font color="Maroon">P</font> &amp; <font color="Maroon">c</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="incproj.html#R4">on</a> <font color="Maroon">P</font> &amp; <font color="Maroon">c</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font> <a href="incproj.html#R4">on</a> <font color="Maroon">P</font> )
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E5:19"/>
( <font color="Maroon">a</font>,<font color="Maroon">c</font>,<font color="Maroon">b</font> <a href="projpl_1.html#R4" target="_self">is_collinear</a>  &amp; <font color="Maroon">b</font>,<font color="Maroon">a</font>,<font color="Maroon">c</font> <a href="projpl_1.html#R4" target="_self">is_collinear</a>  &amp; <font color="Maroon">b</font>,<font color="Maroon">c</font>,<font color="Maroon">a</font> <a href="projpl_1.html#R4" target="_self">is_collinear</a>  &amp; <font color="Maroon">c</font>,<font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="projpl_1.html#R4" target="_self">is_collinear</a>  &amp; <font color="Maroon">c</font>,<font color="Maroon">b</font>,<font color="Maroon">a</font> <a href="projpl_1.html#R4" target="_self">is_collinear</a>  )
 <b>by </b><i/>;<br/>


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