探索三角形与外接圆的几何构造之美
2014-03-01 03:17
本范例展示了三角形及其外接圆的精美几何构造。通过作图工具，构建了三角形的顶点、边、角平分线以及外接圆。利用交点、正交线和距离测量等命令，深入探讨了三角形内部与外接圆之间的几何关系，包括反射对称和角度计算。该构造不仅体现了平面几何的严谨性，还展示了数学图形内在的对称与和谐之美，适合用于几何作图和三角形性质的教学演示。
<?xml version="1.0" encoding="utf-8"?>
<geogebra format="4.4" version="4.4.14.0" id="a78e09cb-2704-4c29-856f-1701cdda0170" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="1366" height="728" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.24963396778916544" orientation="1" />
</panes>
<views>
<view id="4097" visible="false" inframe="true" stylebar="true" location="1,1,1" size="400" window="100,100,700,550" />
<view id="4" toolbar="0 59 || 2020 , 2021 , 2022 , 66 || 2001 , 2003 , 2002 , 2004 , 2005 || 2040 , 2041 , 2042 , 2044 , 2043" visible="false" inframe="false" stylebar="false" location="1,1" size="300" window="100,100,600,400" />
<view id="8" toolbar="1001 | 1002 | 1003 || 1005 | 1004 || 1006 | 1007 | 1010 | 1011 || 1008 1009 || 66 68 || 6" visible="false" inframe="false" stylebar="false" location="1,3" size="300" window="100,100,600,400" />
<view id="1" visible="true" inframe="false" stylebar="false" location="1" size="993" window="100,100,600,400" />
<view id="2" visible="true" inframe="false" stylebar="false" location="3" size="341" window="100,100,250,400" />
<view id="16" visible="false" inframe="false" stylebar="false" location="1" size="150" window="50,50,500,500" />
<view id="32" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="64" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
</views>
<toolbar show="true" items="0 39 59 | 1 501 67 , 5 19 , 72 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24 20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49 50 , 71 | 30 29 54 32 31 33 | 17 26 62 73 , 14 66 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 6" position="1" help="false" />
<input show="true" cmd="true" top="false" />
<dockBar show="true" east="true" />
</perspective>
</perspectives>
<labelingStyle val="0"/>
<font size="12"/>
<graphicsSettings javaLatexFonts="false"/>
</gui>
<euclidianView>
<size width="993" height="560"/>
<coordSystem xZero="506.161957673868" yZero="342.691348824228" scale="58.656128598421354" yscale="58.65612859842183"/>
<evSettings axes="true" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" checkboxSize="26" gridType="0"/>
<bgColor r="255" g="255" b="255"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="10"/>
<axis id="0" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
</euclidianView>
<kernel>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="0"/>
<coordStyle val="0"/>
<angleFromInvTrig val="false"/>
<startAnimation val="true"/>
</kernel>
<scripting blocked="false" disabled="false"/>
<construction title="" author="" date="">
<command name="Point">
<input a0="xAxis"/>
<output a0="A"/>
</command>
<element type="point" label="A">
<show object="true" label="true"/>
<objColor r="125" g="125" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="-2.0" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="xAxis"/>
<output a0="B"/>
</command>
<element type="point" label="B">
<show object="true" label="true"/>
<objColor r="125" g="125" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="2.0" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="A" a1="B"/>
<output a0="a"/>
</command>
<element type="segment" label="a">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="4.0" z="-0.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="LineBisector">
<input a0="a"/>
<output a0="b"/>
</command>
<element type="line" label="b">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-4.0" y="0.0" z="-0.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="b" a1="a"/>
<output a0="C"/>
</command>
<element type="point" label="C">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.0" y="0.0" z="16.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="C" a1="B"/>
<output a0="c"/>
</command>
<element type="conic" label="c">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-4.0" A3="0.0" A4="0.0" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="c" a1="b" a2="2"/>
<output a0="D"/>
</command>
<element type="point" label="D">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="2.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="b"/>
<output a0="E"/>
</command>
<element type="point" label="E">
<show object="true" label="true"/>
<objColor r="125" g="125" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="true"/>
<coords x="0.0" y="2.485900635260227" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Polygon">
<input a0="E" a1="A" a2="B"/>
<output a0="poly1" a1="b_1" a2="e" a3="a_1"/>
</command>
<element type="polygon" label="poly1">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<objColor r="153" g="51" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="0"/>
</element>
<element type="segment" label="b_1">
<show object="true" label="false"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<coords x="2.485900635260227" y="-2.0" z="4.971801270520454"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="e">
<show object="true" label="false"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<coords x="0.0" y="4.0" z="-0.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="a_1">
<show object="true" label="false"/>
<objColor r="153" g="51" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<auxiliary val="false"/>
<coords x="-2.485900635260227" y="-2.0" z="4.971801270520454"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="LineBisector">
<input a0="a_1"/>
<output a0="d"/>
</command>
<element type="line" label="d">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="2.0" y="-2.485900635260227" z="1.0898509841936002"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="LineBisector">
<input a0="b_1"/>
<output a0="f"/>
</command>
<element type="line" label="f">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="2.0" y="2.485900635260227" z="-1.0898509841936002"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="f" a1="a"/>
<output a0="F"/>
</command>
<element type="point" label="F">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="4.359403936774401" y="0.0" z="8.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Intersect">
<input a0="d" a1="a"/>
<output a0="G"/>
</command>
<element type="point" label="G">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-4.359403936774401" y="0.0" z="8.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="E" a1="F" a2="G"/>
<output a0="g"/>
</command>
<element type="conic" label="g">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-0.29694379193693954" A3="0.0" A4="-0.0" A5="-1.1832247220602297"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="g" a1="a_1" a2="2"/>
<output a0="H"/>
</command>
<element type="point" label="H">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1.2724627460484004" y="0.9042926608868814" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="G" a1="H" a2="B"/>
<output a0="h"/>
</command>
<element type="conic" label="h">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-1.0898509841936008" A3="0.0" A4="-0.7275372539516001" A5="0.2789320611733482"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="g" a1="b_1" a2="2"/>
<output a0="I"/>
</command>
<element type="point" label="I">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.2724627460484004" y="0.9042926608868814" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="A" a1="F" a2="I"/>
<output a0="k"/>
</command>
<element type="conic" label="k">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-1.0898509841936" A3="0.0" A4="0.7275372539516001" A5="0.2789320611733482"/>
<eqnStyle style="specific"/>
</element>
<command name="LineBisector">
<input a0="I" a1="E"/>
<output a0="i"/>
</command>
<element type="line" label="i">
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.2724627460484004" y="-1.5816079743733455" z="1.871397655886144"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="LineBisector">
<input a0="A" a1="I"/>
<output a0="j"/>
</command>
<element type="line" label="j">
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.7275372539515996" y="-0.9042926608868814" z="-0.781546671692544"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="LineBisector">
<input a0="A" a1="F"/>
<output a0="l"/>
</command>
<element type="line" label="l">
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-2.5449254920968" y="0.0" z="-1.85152810403153"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="LineBisector">
<input a0="G" a1="B"/>
<output a0="m"/>
</command>
<element type="line" label="m">
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-2.5449254920968" y="0.0" z="1.85152810403153"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="LineBisector">
<input a0="H" a1="G"/>
<output a0="n"/>
</command>
<element type="line" label="n">
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1.8173882381452005" y="0.9042926608868814" z="-1.0699814323389862"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="m" a1="n"/>
<output a0="K"/>
</command>
<element type="point" label="K">
<show object="true" label="true"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1.6743232759015148" y="-0.6419223756324524" z="2.301357445007071"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Intersect">
<input a0="b" a1="i"/>
<output a0="L"/>
</command>
<element type="point" label="L">
<show object="true" label="true"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="7.485590623544576" z="6.326431897493382"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Distance">
<input a0="K" a1="B"/>
<output a0="distanceKB"/>
</command>
<element type="numeric" label="distanceKB">
<value val="1.3026759131999974"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
</element>
<command name="Distance">
<input a0="E" a1="L"/>
<output a0="distanceEL"/>
</command>
<element type="numeric" label="distanceEL">
<value val="1.3026759131999979"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
</element>
<command name="LineBisector">
<input a0="A" a1="F"/>
<output a0="p"/>
</command>
<element type="line" label="p">
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-2.5449254920968" y="0.0" z="-1.85152810403153"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="LineBisector">
<input a0="A" a1="I"/>
<output a0="q"/>
</command>
<element type="line" label="q">
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.7275372539515996" y="-0.9042926608868814" z="-0.781546671692544"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="q" a1="p"/>
<output a0="J"/>
</command>
<element type="point" label="J">
<show object="true" label="true"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.6743232759015148" y="-0.6419223756324526" z="2.301357445007071"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Distance">
<input a0="J" a1="A"/>
<output a0="distanceJA"/>
</command>
<element type="numeric" label="distanceJA">
<value val="1.3026759131999974"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
</element>
<command name="Angle">
<input a0="B" a1="E" a2="L"/>
<output a0="α"/>
</command>
<element type="angle" label="α">
<angleStyle val="1"/>
<value val="5.605683783104996"/>
<show object="true" label="true"/>
<objColor r="0" g="100" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="2"/>
<lineStyle thickness="2" type="0" typeHidden="2"/>
<arcSize val="30"/>
</element>
<element type="point" label="M">
<show object="true" label="true"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="0.0" y="1.3625000772664266" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Line">
<input a0="C" a1="a"/>
<output a0="r"/>
</command>
<element type="line" label="r">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="64.0" z="0.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Segment">
<input a0="H" a1="G"/>
<output a0="s"/>
</command>
<element type="segment" label="s">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.9042926608868814" y="-1.8173882381452005" z="0.4927721232333086"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Intersect">
<input a0="d" a1="a_1"/>
<output a0="N"/>
</command>
<element type="point" label="N">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="10.1797019683872" y="12.652863794986763" z="10.1797019683872"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="b"/>
<output a0="O"/>
</command>
<element type="point" label="O">
<show object="true" label="true"/>
<objColor r="125" g="125" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="0.0" y="1.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="O" a1="A"/>
<output a0="t"/>
</command>
<element type="segment" label="t">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1.0" y="-2.0" z="2.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Line">
<input a0="D" a1="t"/>
<output a0="c_1"/>
</command>
<element type="line" label="c_1">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1.0" y="-2.0" z="4.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="r" a1="c_1"/>
<output a0="P"/>
</command>
<element type="point" label="P">
<show object="true" label="true"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-256.0" y="-0.0" z="64.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="P" a1="Segment[P, C]"/>
<output a0="d_1"/>
</command>
<element type="conic" label="d_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="0.0" A3="0.0" A4="4.0" A5="0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="d_1" a1="r" a2="1"/>
<output a0="Q"/>
</command>
<element type="point" label="Q">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-8.0" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="Q" a1="Radius[d_1]"/>
<output a0="e_1"/>
</command>
<element type="conic" label="e_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="48.0" A3="0.0" A4="8.0" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="e_1" a1="r" a2="1"/>
<output a0="R"/>
</command>
<element type="point" label="R">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-12.0" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="C" a1="E"/>
<output a0="f_1"/>
</command>
<element type="conic" label="f_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-6.1797019683872" A3="0.0" A4="0.0" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="C" a1="O"/>
<output a0="g_1"/>
</command>
<element type="conic" label="g_1">
<show object="true" label="false"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-1.0" A3="0.0" A4="0.0" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="g_1" a1="b" a2="2"/>
<output a0="S"/>
</command>
<element type="point" label="S">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.0" y="-1.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="R" a1="Radius[g_1]"/>
<output a0="h_1"/>
</command>
<element type="conic" label="h_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="143.0" A3="0.0" A4="12.0" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="R" a1="Radius[f_1]"/>
<output a0="k_1"/>
</command>
<element type="conic" label="k_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="137.8202980316128" A3="0.0" A4="12.0" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="OrthogonalLine">
<input a0="R" a1="r"/>
<output a0="i_1"/>
</command>
<element type="line" label="i_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-64.0" y="0.0" z="-768.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="k_1" a1="i_1" a2="2"/>
<output a0="T"/>
</command>
<element type="point" label="T">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-12.0" y="2.485900635260228" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Intersect">
<input a0="h_1" a1="i_1" a2="2"/>
<output a0="U"/>
</command>
<element type="point" label="U">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-12.0" y="1.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Intersect">
<input a0="k_1" a1="r" a2="2"/>
<output a0="V"/>
</command>
<element type="point" label="V">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-9.51409936473977" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="U" a1="V"/>
<output a0="j_1"/>
</command>
<element type="segment" label="j_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1.0" y="2.4859006352602293" z="9.51409936473977"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Line">
<input a0="T" a1="j_1"/>
<output a0="l_1"/>
</command>
<element type="line" label="l_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1.0" y="2.4859006352602293" z="5.820298031612792"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="r" a1="l_1"/>
<output a0="W"/>
</command>
<element type="point" label="W">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-372.49907402321867" y="-0.0" z="64.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="W" a1="S"/>
<output a0="m_1"/>
</command>
<element type="segment" label="m_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1.0" y="5.820298031612792" z="5.820298031612792"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Intersect">
<input a0="c" a1="b" a2="1"/>
<output a0="Z"/>
</command>
<element type="point" label="Z">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.0" y="-2.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Line">
<input a0="Z" a1="m_1"/>
<output a0="n_1"/>
</command>
<element type="line" label="n_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1.0" y="5.820298031612792" z="11.640596063225583"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="n_1" a1="r"/>
<output a0="A_1"/>
</command>
<element type="point" label="A_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-744.9981480464373" y="0.0" z="64.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="C" a1="Radius[d_1]"/>
<output a0="p_1"/>
</command>
<element type="conic" label="p_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-16.0" A3="0.0" A4="0.0" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="p_1" a1="b" a2="2"/>
<output a0="B_1"/>
</command>
<element type="point" label="B_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="4.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="B_1" a1="Radius[p_1]"/>
<output a0="q_1"/>
</command>
<element type="conic" label="q_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="0.0" A3="0.0" A4="-0.0" A5="-4.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="q_1" a1="b" a2="2"/>
<output a0="C_1"/>
</command>
<element type="point" label="C_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="8.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="C_1" a1="Radius[q_1]"/>
<output a0="r_1"/>
</command>
<element type="conic" label="r_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="48.0" A3="0.0" A4="-0.0" A5="-8.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="r_1" a1="b" a2="2"/>
<output a0="D_1"/>
</command>
<element type="point" label="D_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="12.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="D_1" a1="Radius[r_1]"/>
<output a0="s_1"/>
</command>
<element type="conic" label="s_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="128.0" A3="0.0" A4="-0.0" A5="-12.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="s_1" a1="b" a2="2"/>
<output a0="E_1"/>
</command>
<element type="point" label="E_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="16.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="E_1" a1="Radius[s_1]"/>
<output a0="t_1"/>
</command>
<element type="conic" label="t_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="240.0" A3="0.0" A4="-0.0" A5="-16.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="t_1" a1="b" a2="2"/>
<output a0="F_1"/>
</command>
<element type="point" label="F_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="20.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="F_1" a1="Radius[t_1]"/>
<output a0="c_2"/>
</command>
<element type="conic" label="c_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="384.0" A3="0.0" A4="-0.0" A5="-20.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="c_2" a1="b" a2="2"/>
<output a0="G_1"/>
</command>
<element type="point" label="G_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="24.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="G_1" a1="Radius[c_2]"/>
<output a0="d_2"/>
</command>
<element type="conic" label="d_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="560.0" A3="0.0" A4="-0.0" A5="-24.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="d_2" a1="b" a2="2"/>
<output a0="H_1"/>
</command>
<element type="point" label="H_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="28.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="H_1" a1="Radius[d_2]"/>
<output a0="e_2"/>
</command>
<element type="conic" label="e_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="768.0" A3="0.0" A4="-0.0" A5="-28.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="e_2" a1="b" a2="2"/>
<output a0="I_1"/>
</command>
<element type="point" label="I_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="32.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="I_1" a1="Radius[e_2]"/>
<output a0="f_2"/>
</command>
<element type="conic" label="f_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="1008.0" A3="0.0" A4="-0.0" A5="-32.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="f_2" a1="b" a2="2"/>
<output a0="J_1"/>
</command>
<element type="point" label="J_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="36.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="J_1" a1="Segment[R, W]"/>
<output a0="g_2"/>
</command>
<element type="conic" label="g_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="1257.8112835819113" A3="0.0" A4="-0.0" A5="-36.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="g_2" a1="b" a2="2"/>
<output a0="K_1"/>
</command>
<element type="point" label="K_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="42.17970196838721" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="K_1" a1="A_1"/>
<output a0="a_2"/>
</command>
<element type="segment" label="a_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="42.17970196838721" y="-11.640596063225583" z="490.9968726812365"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Line">
<input a0="O" a1="a_2"/>
<output a0="b_2"/>
</command>
<element type="line" label="b_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="42.17970196838721" y="-11.640596063225583" z="11.640596063225583"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="r" a1="b_2"/>
<output a0="L_1"/>
</command>
<element type="point" label="L_1">
<show object="true" label="false"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-744.9981480464373" y="-0.0" z="2699.500925976781"/>
<pointSize val="5"/>
<pointStyle val="1"/>
</element>
<command name="Circle">
<input a0="B" a1="Segment[L_1, C]"/>
<output a0="h_2"/>
</command>
<element type="conic" label="h_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="3.9238371082860617" A3="0.0" A4="-2.0" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="h_2" a1="r" a2="1"/>
<output a0="M_1"/>
</command>
<element type="point" label="M_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1.7240237479167124" y="-0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="M_1" a1="Segment[C, M_1]"/>
<output a0="k_2"/>
</command>
<element type="conic" label="k_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="0.0" A3="0.0" A4="-1.7240237479167124" A5="0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="k_2" a1="r" a2="2"/>
<output a0="N_1"/>
</command>
<element type="point" label="N_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="3.448047495833425" y="-0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="D" a1="N_1" a2="Z"/>
<output a0="p_2"/>
</command>
<element type="conic" label="p_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-3.999999999999999" A3="0.0" A4="-1.1439853341718977" A5="0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="p_2" a1="r" a2="2"/>
<output a0="O_1"/>
</command>
<element type="point" label="O_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.160076827489629" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="OrthogonalLine">
<input a0="O_1" a1="a"/>
<output a0="i_2"/>
</command>
<element type="line" label="i_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-4.0" y="0.0" z="-4.640307309958516"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<expression label=""\overline{" + (Name[J]) + "" + (Name[A]) + "} \, = \, " + (FormulaText[distanceJA]) + """ exp=""\overline{" + (Name[J]) + "" + (Name[A]) + "} \, = \, " + (LaTeX[distanceJA]) + """ />
<element type="text" label=""\overline{" + (Name[J]) + "" + (Name[A]) + "} \, = \, " + (FormulaText[distanceJA]) + """>
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.0" size="0" style="0"/>
</element>
<command name="Circle">
<input a0="O_1" a1="Radius[h_2]"/>
<output a0="q_2"/>
</command>
<element type="conic" label="q_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="1.2696153539644637" A3="0.0" A4="1.160076827489629" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="q_2" a1="i_2" a2="2"/>
<output a0="P_1"/>
</command>
<element type="point" label="P_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.160076827489629" y="0.275976252083288" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Intersect">
<input a0="q_2" a1="i_2" a2="1"/>
<output a0="Q_1"/>
</command>
<element type="point" label="Q_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.160076827489629" y="-0.275976252083288" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="Q_1" a1="Radius[q_2]"/>
<output a0="r_2"/>
</command>
<element type="conic" label="r_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="1.3457782456784022" A3="0.0" A4="1.160076827489629" A5="0.275976252083288"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="r_2" a1="i_2" a2="1"/>
<output a0="R_1"/>
</command>
<element type="point" label="R_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.160076827489629" y="-0.551952504166576" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="R_1" a1="Radius[r_2]"/>
<output a0="s_2"/>
</command>
<element type="conic" label="s_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="1.5742669208202178" A3="0.0" A4="1.160076827489629" A5="0.551952504166576"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="s_2" a1="i_2" a2="1"/>
<output a0="S_1"/>
</command>
<element type="point" label="S_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.160076827489629" y="-0.8279287562498641" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="O_1" a1="Radius[k_2]"/>
<output a0="t_2"/>
</command>
<element type="conic" label="t_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-1.6264796377023858" A3="0.0" A4="1.160076827489629" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="t_2" a1="r"/>
<output a0="T_1" a1="U_1"/>
</command>
<element type="point" label="T_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-2.8841005754063413" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<element type="point" label="U_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.5639469204270835" y="-0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="U_1" a1="P_1" a2="S_1"/>
<output a0="c_3"/>
</command>
<element type="conic" label="c_3">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-0.7289628852685454" A3="0.0" A4="0.3643310578752292" A5="0.275976252083288"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="c_3" a1="r"/>
<output a0="V_1" a1="W_1"/>
</command>
<element type="point" label="V_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.5639469204270835" y="-0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<element type="point" label="W_1">
<show object="true" label="false"/>
<objColor r="255" g="153" b="204" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.292609036177542" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="W_1" a1="Segment[A, C]"/>
<output a0="d_3"/>
</command>
<element type="conic" label="d_3">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-2.3291618795921663" A3="0.0" A4="1.292609036177542" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="W_1" a1="Segment[L_1, C]"/>
<output a0="e_3"/>
</command>
<element type="conic" label="e_3">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="1.5946752286938954" A3="0.0" A4="1.292609036177542" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="OrthogonalLine">
<input a0="W_1" a1="r"/>
<output a0="j_2"/>
</command>
<element type="line" label="j_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-64.0" y="0.0" z="-82.72697831536269"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="e_3" a1="j_2" a2="1"/>
<output a0="Z_1"/>
</command>
<element type="point" label="Z_1">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.292609036177542" y="-0.275976252083288" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Intersect">
<input a0="d_3" a1="j_2" a2="2"/>
<output a0="A_2"/>
</command>
<element type="point" label="A_2">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.292609036177542" y="2.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="Z_1" a1="Radius[e_3]"/>
<output a0="f_3"/>
</command>
<element type="conic" label="f_3">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="1.670838120407834" A3="0.0" A4="1.292609036177542" A5="0.275976252083288"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="c_3" a1="f_3" a2="1"/>
<output a0="B_2"/>
</command>
<element type="point" label="B_2">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.292609036177542" y="-0.551952504166576" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="B_2" a1="Radius[f_3]"/>
<output a0="g_3"/>
</command>
<element type="conic" label="g_3">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="1.8993267955496496" A3="0.0" A4="1.292609036177542" A5="0.551952504166576"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="g_3" a1="j_2" a2="1"/>
<output a0="C_2"/>
</command>
<element type="point" label="C_2">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.292609036177542" y="-0.8279287562498641" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="C_2" a1="Radius[g_3]"/>
<output a0="h_3"/>
</command>
<element type="conic" label="h_3">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="2.280141254119342" A3="0.0" A4="1.292609036177542" A5="0.8279287562498641"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="h_3" a1="j_2" a2="1"/>
<output a0="D_2"/>
</command>
<element type="point" label="D_2">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.292609036177542" y="-1.1039050083331525" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="W_1" a1="Radius[k_2]"/>
<output a0="k_3"/>
</command>
<element type="conic" label="k_3">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="-1.301419762972954" A3="0.0" A4="1.292609036177542" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="k_3" a1="r" a2="1"/>
<output a0="E_2"/>
</command>
<element type="point" label="E_2">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-3.0166327840942544" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="E_2" a1="Radius[k_3]"/>
<output a0="p_3"/>
</command>
<element type="conic" label="p_3">
<show object="true" label="false"/>
<objColor r="255" g="127" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="6.1278154706914645" A3="0.0" A4="3.0166327840942544" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="p_3" a1="r" a2="1"/>
<output a0="F_2"/>
</command>
<element type="point" label="F_2">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-4.740656532010966" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="F_2" a1="D_2" a2="A_2"/>
<output a0="q_3"/>
</command>
<element type="conic" label="q_3">
<show object="true" label="false"/>
<objColor r="255" g="127" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="3.0923384392422424" A3="0.0" A4="2.6964791291149948" A5="-0.44804749583342374"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="q_3" a1="r" a2="2"/>
<output a0="G_2"/>
</command>
<element type="point" label="G_2">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.6523017262190234" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Circle">
<input a0="G_2" a1="Segment[L_1, C]"/>
<output a0="r_3"/>
</command>
<element type="conic" label="r_3">
<show object="true" label="false"/>
<objColor r="255" g="127" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eigenvectors x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
<matrix A0="1.0" A1="1.0" A2="0.34933465031437927" A3="0.0" A4="0.6523017262190234" A5="-0.0"/>
<eqnStyle style="specific"/>
</element>
<command name="Intersect">
<input a0="r_3" a1="r" a2="1"/>
<output a0="H_2"/>
</command>
<element type="point" label="H_2">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.9282779783023113" y="0.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="OrthogonalLine">
<input a0="H_2" a1="a"/>
<output a0="l_2"/>
</command>
<element type="line" label="l_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-4.0" y="0.0" z="-3.713111913209245"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="l_2" a1="b_1"/>
<output a0="I_2"/>
</command>
<element type="point" label="I_2">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-7.42622382641849" y="10.656777818242636" z="8.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="I_2" a1="L_1"/>
<output a0="m_2"/>
</command>
<element type="segment" label="m_2">
<show object="true" label="false"/>
<objColor r="51" g="51" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1.3320972272803295" y="0.6523017262190234" z="0.3676272001953651"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="LineBisector">
<input a0="m_2"/>
<output a0="n_2"/>
</command>
<element type="line" label="n_2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.6523017262190234" y="1.3320972272803295" z="-1.280010068107515"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Intersect">
<input a0="b" a1="n_2"/>
<output a0="J_2"/>
</command>
<element type="point" label="J_2">
<show object="true" label="false"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.0" y="5.12004027243006" z="5.328388909121318"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
</construction>
</geogebra>