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<b>let </b><font color="Maroon" title="c1">G</font> be    <a href="incsp_1.html#L1" title="INCSP_1:struct.1">IncProjStr</a> ;<br/><b>let </b><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">b</font>, <font color="Maroon" title="c4">c</font> be   <a href="incsp_1.html#NM1" title="INCSP_1:NM.1">POINT</a> of <font color="Maroon" title="c1">G</font>;<br/>







<b>assume </b><a NAME="E1:19"/>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R4" title="PROJPL_1:pred.4">is_collinear</a> 
 ;<br/>

<b>then consider </b><font color="Maroon" title="c5">P</font> being   <a href="incsp_1.html#NM2" title="INCSP_1:NM.2">LINE</a> of <font color="Maroon" title="c1">G</font><b> such that </b><br/><a NAME="E3:19"/><i><font color="Green" title="E17">A1</font></i>: 
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font> <a href="incproj.html#R4" title="INCPROJ:pred.4">on</a> <font color="Maroon" title="c5">P</font>
 <b>by </b><i><a class="ref" href="projpl_1.html#D5" target="_self" title="PROJPL_1:def.5">Def5</a></i>;<br/>
<a NAME="E4:19"/>
( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="incproj.html#R4" title="INCPROJ:pred.4">on</a> <font color="Maroon" title="c5">P</font> &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="incproj.html#R4" title="INCPROJ:pred.4">on</a> <font color="Maroon" title="c5">P</font> &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="incproj.html#R4" title="INCPROJ:pred.4">on</a> <font color="Maroon" title="c5">P</font> &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="incproj.html#R4" title="INCPROJ:pred.4">on</a> <font color="Maroon" title="c5">P</font> &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="incproj.html#R4" title="INCPROJ:pred.4">on</a> <font color="Maroon" title="c5">P</font> )
 
<b>by </b><i><a class="txt" href="projpl_1.html#E3:19"><i><font color="Green" title="E17">A1</font></i></a>, <a class="ref" href="projpl_1.html#T1" target="_self" title="PROJPL_1:th.1">Th1</a></i>;<br/>
<b>hence </b><a NAME="E5:19"/>
( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R4" title="PROJPL_1:pred.4">is_collinear</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">c</font> <a href="projpl_1.html#R4" title="PROJPL_1:pred.4">is_collinear</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R4" title="PROJPL_1:pred.4">is_collinear</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="projpl_1.html#R4" title="PROJPL_1:pred.4">is_collinear</a>  &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="projpl_1.html#R4" title="PROJPL_1:pred.4">is_collinear</a>  )
 <b>by </b><i><a class="ref" href="projpl_1.html#D5" target="_self" title="PROJPL_1:def.5">Def5</a></i>;<br/>


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