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<span class="kw">let </span><font color="Maroon" title="c1">P</font>, <font color="Maroon" title="c2">Q</font> be   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <a href="bkmodel3.html#K9" title="BKMODEL3:func.9">BK-model-Plane</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Maroon" title="c1">P</font>,<font color="Maroon" title="c1">P</font>,<font color="Maroon" title="c2">Q</font> &amp;  <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Maroon" title="c1">P</font>,<font color="Maroon" title="c2">Q</font>,<font color="Maroon" title="c2">Q</font> )</span><br/>

<span class="kw">reconsider </span><font color="Maroon" title="c3">P2</font> =  <a href="bkmodel4.html#K1" title="BKMODEL4:func.1">BK_to_T2</a> <font color="Maroon" title="c1">P</font>, <font color="Maroon" title="c4">Q2</font> =  <a href="bkmodel4.html#K1" title="BKMODEL4:func.1">BK_to_T2</a> <font color="Maroon" title="c2">Q</font> as   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <a href="gtarski2.html#K2" title="GTARSKI2:func.2">TarskiEuclid2Space</a> ;<br/>
<a NAME="E2:19"/>
 <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Maroon" title="c3">P2</font>,<font color="Maroon" title="c3">P2</font>,<font color="Maroon" title="c4">Q2</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="gtarski1.html#T17" onmouseover="rs('gtarski1/T17')" onmouseout="rh()">GTARSKI1:17</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:19"/>
 <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Maroon" title="c1">P</font>,<font color="Maroon" title="c1">P</font>,<font color="Maroon" title="c2">Q</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="bkmodel4.html#T12" target="_self" onmouseover="rs('bkmodel4/T12')" onmouseout="rh()">Th05</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Maroon" title="c1">P</font>,<font color="Maroon" title="c2">Q</font>,<font color="Maroon" title="c2">Q</font></span><br/>

<a NAME="E4:19"/>
 <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Maroon" title="c3">P2</font>,<font color="Maroon" title="c4">Q2</font>,<font color="Maroon" title="c4">Q2</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="gtarski1.html#T14" onmouseover="rs('gtarski1/T14')" onmouseout="rh()">GTARSKI1:14</a></span>;<br/>
<span class="kw">hence </span><a NAME="E5:19"/>
 <a href="gtarski1.html#R1" title="GTARSKI1:pred.1">between</a> <font color="Maroon" title="c1">P</font>,<font color="Maroon" title="c2">Q</font>,<font color="Maroon" title="c2">Q</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="bkmodel4.html#T12" target="_self" onmouseover="rs('bkmodel4/T12')" onmouseout="rh()">Th05</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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