<?xml version="1.0" encoding="utf-8"?>
<geogebra format="2.4">
<gui>
	<show algebraView="true" auxiliaryObjects="false"/>
	<splitDivider loc="223" locVertical="400" horizontal="true"/>
	<font  size="12"/>
</gui>
<euclidianView>
	<coordSystem xZero="229.0" yZero="160.0" scale="30.0"/>
	<evSettings axes="true" grid="false" pointCapturing="true"/>
</euclidianView>
<kernel>
	<decimals val="2"/>
	<angleUnit val="degree"/>
</kernel>
<construction title="Eigenschaften der Ellipse" author="" date="">
<command name="Point">
	<input a0="xAxis"/>
	<output a0="F_1"/>
</command>
<element type="point" label="F_1">
	<show object="true" label="true"/>
	<objColor r="125" g="125" b="255" alpha="0.0"/>
	<labelOffset x="-11" y="-3"/>
	<animation step="0.1"/>
	<fixed val="false"/>
	<coords x="-4.0" y="0.0" z="1.0"/>
	<coordStyle style="cartesian"/>
	<pointSize val="3"/>
</element>
<command name="Point">
	<input a0="xAxis"/>
	<output a0="F_2"/>
</command>
<element type="point" label="F_2">
	<show object="true" label="true"/>
	<objColor r="125" g="125" b="255" alpha="0.0"/>
	<labelOffset x="0" y="-3"/>
	<animation step="0.1"/>
	<fixed val="false"/>
	<coords x="4.0" y="-0.0" z="1.0"/>
	<coordStyle style="cartesian"/>
	<pointSize val="3"/>
</element>
<command name="Ellipse">
	<input a0="F_1" a1="F_2" a2="5"/>
	<output a0="e"/>
</command>
<element type="conic" label="e">
	<show object="true" label="true"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<labelOffset x="-52" y="0"/>
	<lineStyle thickness="3" type="0"/>
	<eigenvectors  x0="1.0" y0="0.0" z0="1.0" x1="-0.0" y1="1.0" z1="1.0"/>
	<matrix A0="4.0" A1="11.11111111111111" A2="-100.0" A3="0.0" A4="-0.0" A5="-0.0"/>
	<eqnStyle style="specific"/>
</element>
<command name="Point">
	<input a0="e"/>
	<output a0="P"/>
</command>
<element type="point" label="P">
	<show object="true" label="true"/>
	<objColor r="125" g="125" b="255" alpha="0.0"/>
	<animation step="0.1"/>
	<fixed val="false"/>
	<coords x="3.3031394744601235" y="2.2521405507682655" z="1.0"/>
	<coordStyle style="cartesian"/>
	<pointSize val="3"/>
</element>
<command name="Intersect">
	<input a0="e" a1="xAxis" a2="1"/>
	<output a0="A"/>
</command>
<element type="point" label="A">
	<show object="true" label="true"/>
	<objColor r="64" g="64" b="64" alpha="0.0"/>
	<labelOffset x="-16" y="0"/>
	<coords x="-5.0" y="0.0" z="1.0"/>
	<coordStyle style="cartesian"/>
	<pointSize val="3"/>
</element>
<command name="Intersect">
	<input a0="e" a1="xAxis" a2="2"/>
	<output a0="B"/>
</command>
<element type="point" label="B">
	<show object="true" label="true"/>
	<objColor r="64" g="64" b="64" alpha="0.0"/>
	<coords x="5.0" y="-0.0" z="1.0"/>
	<coordStyle style="cartesian"/>
	<pointSize val="3"/>
</element>
<command name="Intersect">
	<input a0="e" a1="yAxis" a2="1"/>
	<output a0="C"/>
</command>
<element type="point" label="C">
	<show object="true" label="true"/>
	<objColor r="64" g="64" b="64" alpha="0.0"/>
	<coords x="-0.0" y="3.0000000000000004" z="1.0"/>
	<coordStyle style="cartesian"/>
	<pointSize val="3"/>
</element>
<command name="Intersect">
	<input a0="e" a1="yAxis" a2="2"/>
	<output a0="D"/>
</command>
<element type="point" label="D">
	<show object="true" label="true"/>
	<objColor r="64" g="64" b="64" alpha="0.0"/>
	<labelOffset x="6" y="21"/>
	<coords x="0.0" y="-3.0" z="1.0"/>
	<coordStyle style="cartesian"/>
	<pointSize val="3"/>
</element>
<command name="Intersect">
	<input a0="xAxis" a1="yAxis"/>
	<output a0="M"/>
</command>
<element type="point" label="M">
	<show object="true" label="true"/>
	<objColor r="64" g="64" b="64" alpha="0.0"/>
	<coords x="-0.0" y="-0.0" z="1.0"/>
	<coordStyle style="cartesian"/>
	<pointSize val="3"/>
</element>
<command name="Segment">
	<input a0="A" a1="M"/>
	<output a0="a"/>
</command>
<element type="segment" label="a">
	<show object="true" label="true"/>
	<objColor r="204" g="0" b="204" alpha="0.0"/>
	<labelOffset x="-18" y="-3"/>
	<coords x="0.0" y="5.0" z="0.0"/>
	<lineStyle thickness="3" type="0"/>
	<eqnStyle style="implicit"/>
</element>
<command name="Segment">
	<input a0="M" a1="C"/>
	<output a0="b"/>
</command>
<element type="segment" label="b">
	<show object="true" label="true"/>
	<objColor r="204" g="0" b="204" alpha="0.0"/>
	<labelOffset x="-13" y="-5"/>
	<coords x="-3.0000000000000004" y="0.0" z="-0.0"/>
	<lineStyle thickness="3" type="0"/>
	<eqnStyle style="implicit"/>
</element>
<command name="Segment">
	<input a0="F_1" a1="C"/>
	<output a0="d"/>
</command>
<element type="segment" label="d">
	<show object="true" label="true"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<labelOffset x="-18" y="-11"/>
	<coords x="-3.0000000000000004" y="4.0" z="-12.000000000000002"/>
	<lineStyle thickness="3" type="0"/>
	<eqnStyle style="implicit"/>
</element>
<command name="Segment">
	<input a0="F_1" a1="P"/>
	<output a0="x_1"/>
</command>
<element type="segment" label="x_1">
	<show object="true" label="true"/>
	<objColor r="51" g="204" b="0" alpha="0.0"/>
	<labelOffset x="-7" y="-2"/>
	<coords x="-2.2521405507682655" y="7.3031394744601235" z="-9.008562203073062"/>
	<lineStyle thickness="3" type="0"/>
	<eqnStyle style="implicit"/>
</element>
<command name="Segment">
	<input a0="P" a1="F_2"/>
	<output a0="x_2"/>
</command>
<element type="segment" label="x_2">
	<show object="true" label="true"/>
	<objColor r="51" g="204" b="0" alpha="0.0"/>
	<coords x="2.2521405507682655" y="0.6968605255398765" z="-9.008562203073062"/>
	<lineStyle thickness="3" type="0"/>
	<eqnStyle style="implicit"/>
</element>
<expression label="c" exp="x_1 + x_2" />
<element type="numeric" label="c">
	<value val="10.0"/>
</element>
<command name="Segment">
	<input a0="M" a1="F_2"/>
	<output a0="f"/>
</command>
<element type="segment" label="f">
	<show object="true" label="true"/>
	<objColor r="255" g="102" b="0" alpha="0.0"/>
	<labelOffset x="-2" y="-21"/>
	<coords x="0.0" y="4.0" z="0.0"/>
	<lineStyle thickness="3" type="0"/>
	<eqnStyle style="implicit"/>
</element>
</construction>
</geogebra>