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<b>let </b><font color="Maroon">IPP</font> be   <a href="incproj.html#NM2">IncProjSp</a>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font>;<br/>



<b>consider </b><font color="Maroon">p</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font>, <font color="Maroon">L</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font><b> such that </b><br/><a NAME="E2:2"/><i><font color="Green">E33</font></i>: 
not <font color="Maroon">p</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">L</font>
 <b>by </b><i><a class="ref" href="incproj.html#D11">INCPROJ:def 11</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="2_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="2_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:2_1_1"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">a</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">L</font>
 ;<br/><b>consider </b><font color="Maroon">q</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font>, <font color="Maroon">r</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font>, <font color="Maroon">s</font> being   <a href="incsp_1.html#NM1">POINT</a> of <font color="Maroon">IPP</font><b> such that </b><br/><a NAME="E3:2_1_1"/><i><font color="Green">E35</font></i>: 
( <font color="Maroon">q</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">r</font> &amp; <font color="Maroon">r</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">s</font> &amp; <font color="Maroon">s</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">q</font> &amp; <font color="Maroon">q</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">L</font> &amp; <font color="Maroon">r</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">L</font> &amp; <font color="Maroon">s</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">L</font> )
 <b>by </b><i><a class="ref" href="incproj.html#D12">INCPROJ:def 12</a></i>;<br/><div><i><font color="Green">E37</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="2_1_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:2_1_1_1"/><i><font color="Green">E38</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">q</font>
 ;<br/><b>consider </b><font color="Maroon">S</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font><b> such that </b><br/><a NAME="E3:2_1_1_1"/><i><font color="Green">E39</font></i>: 
( <font color="Maroon">q</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">S</font> &amp; <font color="Maroon">p</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">S</font> )
 <b>by </b><i><a class="ref" href="incproj.html#D10">INCPROJ:def 10</a></i>;<br/><a NAME="E4:2_1_1_1"/>
not <font color="Maroon">a</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">S</font>
 <b>by </b><i>, , , , , <a class="ref" href="incproj.html#D9">INCPROJ:def 9</a></i>;<br/><b>hence </b><a NAME="E5:2_1_1_1"/>
not for <font color="Olive">A</font> being  <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font> holds  <font color="Maroon">a</font> <a href="incsp_1.html#R1">on</a> <font color="Olive">A</font>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="2_1_1_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:2_1_1_2"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">s</font>
 ;<br/><b>consider </b><font color="Maroon">S</font> being   <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font><b> such that </b><br/><a NAME="E3:2_1_1_2"/><i><font color="Green">E41</font></i>: 
( <font color="Maroon">s</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">S</font> &amp; <font color="Maroon">p</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">S</font> )
 <b>by </b><i><a class="ref" href="incproj.html#D10">INCPROJ:def 10</a></i>;<br/><a NAME="E4:2_1_1_2"/>
not <font color="Maroon">a</font> <a href="incsp_1.html#R1">on</a> <font color="Maroon">S</font>
 <b>by </b><i>, , , , , <a class="ref" href="incproj.html#D9">INCPROJ:def 9</a></i>;<br/><b>hence </b><a NAME="E5:2_1_1_2"/>
not for <font color="Olive">A</font> being  <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font> holds  <font color="Maroon">a</font> <a href="incsp_1.html#R1">on</a> <font color="Olive">A</font>
 ;<br/></div><b>end;</b></div><b>hence </b><a NAME="E6:2_1_1"/>
not for <font color="Olive">A</font> being  <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font> holds  <font color="Maroon">a</font> <a href="incsp_1.html#R1">on</a> <font color="Olive">A</font>
 <b>by </b><i>, </i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E2:2_1"/>
not for <font color="Olive">A</font> being  <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font> holds  <font color="Maroon">a</font> <a href="incsp_1.html#R1">on</a> <font color="Olive">A</font>
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:2"/>
not for <font color="Olive">A</font> being  <a href="incsp_1.html#NM2">LINE</a> of <font color="Maroon">IPP</font> holds  <font color="Maroon">a</font> <a href="incsp_1.html#R1">on</a> <font color="Olive">A</font>
 ;<br/>


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