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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E18">Th4</font></span>: <a NAME="T4"><span class="comment"><font color="firebrick">:: EUCLID_6:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p1</font>, <font color="Olive" title="b2">p2</font>, <font color="Olive" title="b3">p3</font>, <font color="Olive" title="b4">p4</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span>  holds <br/>( <span class="p1">(<span class="default"><a href="euclid_3.html#K4" title="EUCLID_3:func.4">angle</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b4">p4</font>,<font color="Olive" title="b2">p2</font>)</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="euclid_3.html#K4" title="EUCLID_3:func.4">angle</a> (<font color="Olive" title="b2">p2</font>,<font color="Olive" title="b4">p4</font>,<font color="Olive" title="b3">p3</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="euclid_3.html#K4" title="EUCLID_3:func.4">angle</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b4">p4</font>,<font color="Olive" title="b3">p3</font>) or <span class="p1">(<span class="default"><a href="euclid_3.html#K4" title="EUCLID_3:func.4">angle</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b4">p4</font>,<font color="Olive" title="b2">p2</font>)</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="euclid_3.html#K4" title="EUCLID_3:func.4">angle</a> (<font color="Olive" title="b2">p2</font>,<font color="Olive" title="b4">p4</font>,<font color="Olive" title="b3">p3</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="euclid_3.html#K4" title="EUCLID_3:func.4">angle</a> (<font color="Olive" title="b1">p1</font>,<font color="Olive" title="b4">p4</font>,<font color="Olive" title="b3">p3</font>)</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default">2 <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <a href="sin_cos.html#K28" title="SIN_COS:func.28">PI</a></span>)</span> )</div></div>
