139 lines
19 KiB
XML
139 lines
19 KiB
XML
<?xml version="1.0" encoding="utf-8"?>
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<CaR>
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<Script Name="aerial view" onload="false">
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phi=GetExpressionValue("E10");
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teta=GetExpressionValue("E11");
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dphi=(90-phi)/200;
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dteta=(90-teta)/200;
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for (i=0;i<200;i++){
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phi=phi+dphi;
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SetExpressionValue("E10",phi);
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teta=teta+dteta;
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SetExpressionValue("E11",teta);
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}
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SetExpressionValue("E10",90);
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SetExpressionValue("E11",90);
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</Script>
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<Script Name="front view" onload="false">
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phi=GetExpressionValue("E10");
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teta=GetExpressionValue("E11");
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dphi=-phi/200;
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dteta=-teta/200;
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for (i=0;i<200;i++){
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phi=phi+dphi;
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SetExpressionValue("E10",phi);
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teta=teta+dteta;
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SetExpressionValue("E11",teta);
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}
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SetExpressionValue("E10",0);
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SetExpressionValue("E11",0);
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</Script>
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<Script Name="right view" onload="false">
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phi=GetExpressionValue("E10");
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teta=GetExpressionValue("E11");
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dphi=(-90-phi)/200;
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dteta=-teta/200;
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for (i=0;i<200;i++){
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phi=phi+dphi;
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teta=teta+dteta;
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SetExpressionValue("E10",phi);
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SetExpressionValue("E11",teta);
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}
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SetExpressionValue("E10",-90);
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SetExpressionValue("E11",0);
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</Script>
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<Script Name="left view" onload="false">
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phi=GetExpressionValue("E10");
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teta=GetExpressionValue("E11");
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dphi=(90-phi)/200;
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dteta=-teta/200;
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for (i=0;i<200;i++){
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phi=phi+dphi;
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teta=teta+dteta;
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SetExpressionValue("E10",phi);
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SetExpressionValue("E11",teta);
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}
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SetExpressionValue("E10",90);
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SetExpressionValue("E11",0);
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</Script>
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<Script Name="back in mobile view" onload="false">
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SetExpressionValue("E10","-100*windowcx");
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SetExpressionValue("E11","100*windowcy");</Script>
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<Construction>
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<Window x="0.42325882781637736" y="0.2640459857446189" w="4.489848193237493"/>
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<Windowdim w="1280" h="800"/>
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<Preferences arrowsize="15" selectionsize="5" monkeyspeed="10" gridopacity="13" colorbackgroundx="139" colorbackgroundy="9" colorbackgroundPal="4" fig3D="true" figDP="false"/>
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<CTRLcheckbox Ename="a" x="79" y="0" w="30" h="22" showC="true" showU="false" showV="false" hidden="false" C="Floor" U="°" V="0"/>
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<CTRLcheckbox Ename="b" x="79" y="25" w="30" h="22" showC="true" showU="false" showV="false" hidden="false" C="Coordinates system" U="°" V="1"/>
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<Objects>
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<Text name="Text2" n="209" type="thin" x="windowcx-windoww+3/pixel" y="windowcy-windowh/2+25/pixel" fixed="true">Use right-clic-drag to rotate the coordinate system</Text>
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<Expression name="E10" n="60" color="1" type="thick" hidden="true" showname="true" showvalue="true" x="windowcx-windoww+3/pixel" y="windowcy+windowh/2-60/pixel" value="-100*windowcx" prompt="Phi" fixed="true">Expression "-100*windowcx" à -4.02299, 4.3912</Expression>
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<Expression name="E11" n="61" color="1" type="thick" hidden="true" showname="true" showvalue="true" x="windowcx-windoww+3/pixel" y="windowcy+windowh/2-90/pixel" value="100*windowcy" prompt="Theta" fixed="true">Expression "100*windowcy" à -4.02299, 3.95524</Expression>
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<Expression name="a" n="210" color="1" type="thick" hidden="super" showname="true" showvalue="true" x="0.21596738144686745" y="0.1250337471534495" value="0" prompt="Valeur">Expression "0" à 0.21597, 0.12503</Expression>
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<Expression name="E9" n="59" color="1" type="thin" showname="true" showvalue="true" ctag0="superhidden" cexpr0="a==0" x="-3.339120291073775" y="3.0432051838371934" value="3" prompt="grid">Expression "3" à -3.33912, 3.04321</Expression>
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<Expression name="b" n="211" color="1" type="thick" hidden="super" showname="true" showvalue="true" x="-0.011366704286676745" y="0.06820022572006312" value="1" prompt="Valeur">Expression "1" à -0.01137, 0.0682</Expression>
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<Point name="P66" n="172" color="2" hidden="true" x="windowcx-windoww-20/pixel" actx="-4.229708282523296" y="(windoww/(windoww-d(windoww)))*(y(P66)-windowcy)+windowcy+d(windowcy)" acty="3.060354948199551" shape="circle" fixed="true">Point</Point>
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<Point name="O" n="57" type="thick" ctag0="z" cexpr0="7" ctag1="hidden" cexpr1="@b==0" x="(windoww/(windoww-d(windoww)))*(x(O)-windowcx)+windowcx+d(windowcx)" actx="0.46872564496308566" y="(windoww/(windoww-d(windoww)))*(y(O)-windowcy)+windowcy+d(windowcy)" acty="0.2810960421746347" shape="circle" is3D="true" x3D="0.0" y3D="0.0" z3D="0.0" fixed="true">Point</Point>
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<Point name="P45" n="62" color="2" hidden="super" bold="true" large="true" x="x(O)+1" actx="1.4687256449630857" y="y(O)" acty="0.2810960421746347" fixed="true">Point à "x(P2)+1", "y(P2)" </Point>
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<Angle name="a9" n="63" color="1" hidden="super" unit="∞" large="true" first="O" root="O" fixed="90" inverse="true">Angle O - O de mesure 90</Angle>
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<Point name="P46" n="65" color="2" type="thick" hidden="super" bold="true" large="true" ctag0="z" cexpr0="7" x="x(O)+1" actx="1.4687256449630857" y="y(O)" acty="0.2810960421746347" shape="circle" fixed="true">Point sur r1 </Point>
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<Expression name="E12" n="174" color="3" type="thick" hidden="true" showname="true" showvalue="true" bold="true" large="true" x="x(P66)" y="y(P66)+windoww/24" value="2" prompt="Nombre de divisions" fixed="true">Expression "2" à -4.27913, 3.24743</Expression>
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<Point name="P68" n="175" color="5" hidden="super" showname="true" large="true" x="x(P66)+windoww/8" actx="-3.6684772583686094" y="y(P66)-windoww/12" acty="2.6862009320964266" shape="circle" fixed="true">Point</Point>
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<Ray name="r3" n="64" color="2" hidden="super" bold="true" large="true" from="O" to="P45">Demi-droite d'origine P44 vers P45</Ray>
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<Point name="P47" n="66" color="2" hidden="super" showname="true" xcoffset="-0.05429864253393646" ycoffset="-6.742081447796977E-6" keepclose="true" bold="true" large="true" x="x(O)" actx="0.46872564496308566" y="y(O)+d(O,P46)" acty="1.2810960421746347" shape="dot" fixed="true">Point à "x(P2)", "y(P2)+d(P2,po8)" </Point>
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<Segment name="s15" n="67" color="2" hidden="super" bold="true" large="true" ctag0="z" cexpr0="7" from="O" to="P46" arrow="true">Segment de P44 à P46</Segment>
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<Point name="P69" n="176" color="5" hidden="super" large="true" x="x(P68)+3*windoww" actx="9.80106732134387" y="y(P68)" acty="2.6862009320964266" shape="circle" fixed="true">Point</Point>
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<Point name="P70" n="177" color="5" hidden="super" showname="true" large="true" x="x(P68)" actx="-3.6684772583686094" y="y(P66)" acty="3.060354948199551" shape="circle" fixed="true">Point</Point>
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<Segment name="s16" n="68" color="2" hidden="super" bold="true" large="true" ctag0="z" cexpr0="7" from="O" to="P47" arrow="true">Segment de P44 à P47</Segment>
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<Segment name="s24" n="178" color="5" hidden="super" large="true" from="P68" to="P69">Segment de P68 à P69</Segment>
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<Point name="X" alias="X" n="69" color="3" type="thin" showname="true" xcoffset="-0.23757732805165954" ycoffset="-0.07533417064110326" keepclose="true" bold="true" large="true" ctag0="z" cexpr0="7" ctag1="hidden" cexpr1="b==0" x="x(O)+s15*sin(E10)" actx="-0.2046209206376014" y="y(O)-s16*cos(E10)*sin(E11)" acty="-0.04768789704438847" shape="dot" is3D="true" x3D="1.0" y3D="0.0" z3D="0.0" fixed="true">Point à "x(P2)+s5*sin(a1)", "y(P2)-s6*cos(a1)*sin(a2)" </Point>
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<Point name="Y" alias="Y" n="70" color="5" type="thin" showname="true" xcoffset="0.05190351386152203" ycoffset="-0.01168034001854501" keepclose="true" bold="true" large="true" ctag0="z" cexpr0="7" ctag1="hidden" cexpr1="b==0" x="x(O)+s15*cos(E10)" actx="1.2080526379734584" y="y(O)+s16*sin(E10)*sin(E11)" acty="-0.01834593463776646" shape="dot" is3D="true" x3D="0.0" y3D="1.0" z3D="0.0" fixed="true">Point à "x(P2)+s5*cos(a1)", "y(P2)+s6*sin(a1)*sin(a2)" </Point>
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<Point name="Z" alias="Z" n="71" color="2" type="thin" showname="true" xcoffset="-0.01669997779258381" ycoffset="0.3527600362915684" keepclose="true" bold="true" large="true" ctag0="z" cexpr0="7" ctag1="hidden" cexpr1="b==0" x="x(O)" actx="0.46872564496308566" y="y(O)+s16*cos(E11)" acty="1.1767721129917037" shape="dot" is3D="true" x3D="0.0" y3D="0.0" z3D="1.0" fixed="true">Point à "x(P2)", "y(P2)+s6*cos(a2)" </Point>
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<Point name="P51" n="75" color="2" hidden="super" showname="true" bold="true" x="x(X)+x(O)-x(O)" actx="-0.2046209206376014" y="y(X)+y(O)-y(O)" acty="-0.04768789704438847" shape="circle" fixed="true">Point à "x(C)+x(B)-x(A)", "y(C)+y(B)-y(A)" </Point>
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<Angle name="a10" n="76" color="3" hidden="super" unit="∞" large="true" first="X" root="O" fixed="90" acute="true">Angle X - O de mesure 90</Angle>
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<Point name="P52" n="77" color="2" hidden="super" showname="true" bold="true" x="x(Y)+x(X)-x(O)" actx="0.5347060723727712" y="y(Y)+y(X)-y(O)" acty="-0.3471298738567896" shape="circle" fixed="true">Point à "x(C)+x(B)-x(A)", "y(C)+y(B)-y(A)" </Point>
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<Angle name="a11" n="78" color="1" hidden="super" unit="∞" large="true" first="X" root="O" fixed="90" inverse="true">Angle X - O de mesure 90</Angle>
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<Angle name="a12" n="79" color="3" hidden="super" unit="∞" large="true" first="Y" root="O" fixed="90" acute="true">Angle Y - O de mesure 90</Angle>
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<Segment name="s6" n="189" color="2" ctag0="z" cexpr0="7" ctag1="hidden" cexpr1="b==0" from="O" to="Z" is3D="true" arrow="true">Segment de O à Z</Segment>
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<Segment name="s7" n="192" color="3" ctag0="z" cexpr0="7" ctag1="hidden" cexpr1="b==0" from="O" to="X" is3D="true" arrow="true">Segment de O à X</Segment>
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<Segment name="s8" n="195" color="5" ctag0="z" cexpr0="7" ctag1="hidden" cexpr1="b==0" from="O" to="Y" is3D="true" arrow="true">Segment de O à Y</Segment>
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<Point name="P61" n="105" color="1" type="thick" hidden="super" large="true" x="x(O)+(E9)*(x(X)-x(O))+(E9)*(x(Y)-x(O))+(0)*(x(Z)-x(O))" actx="0.6666669271921428" y="y(O)+(E9)*(y(X)-y(O))+(E9)*(y(Y)-y(O))+(0)*(y(Z)-y(O))" acty="-1.6035817059196382" shape="circle" is3D="true" x3D="E9" actx3D="3.0" y3D="E9" acty3D="3.0" z3D="0" actz3D="0.0" fixed="true" fixed3D="true">Point</Point>
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<Point name="P62" n="106" color="1" type="thick" hidden="super" large="true" x="x(O)+(-E9)*(x(X)-x(O))+(-E9)*(x(Y)-x(O))+(0)*(x(Z)-x(O))" actx="0.2707843627340285" y="y(O)+(-E9)*(y(X)-y(O))+(-E9)*(y(Y)-y(O))+(0)*(y(Z)-y(O))" acty="2.165773790268908" shape="circle" is3D="true" x3D="-E9" actx3D="-3.0" y3D="-E9" acty3D="-3.0" z3D="0" actz3D="0.0" fixed="true" fixed3D="true">Point</Point>
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<Point name="P63" n="107" color="1" type="thick" hidden="super" large="true" x="x(O)+(E9)*(x(X)-x(O))+(-E9)*(x(Y)-x(O))+(0)*(x(Z)-x(O))" actx="-3.7692950308700937" y="y(O)+(E9)*(y(X)-y(O))+(-E9)*(y(Y)-y(O))+(0)*(y(Z)-y(O))" acty="0.19307015495476865" shape="circle" is3D="true" x3D="E9" actx3D="3.0" y3D="-E9" acty3D="-3.0" z3D="0" actz3D="0.0" fixed="true" fixed3D="true">Point</Point>
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<Point name="P64" n="108" color="1" type="thick" hidden="super" large="true" x="x(O)+(-E9)*(x(X)-x(O))+(E9)*(x(Y)-x(O))+(0)*(x(Z)-x(O))" actx="4.706746320796265" y="y(O)+(-E9)*(y(X)-y(O))+(E9)*(y(Y)-y(O))+(0)*(y(Z)-y(O))" acty="0.36912192939450084" shape="circle" is3D="true" x3D="-E9" actx3D="-3.0" y3D="E9" acty3D="3.0" z3D="0" actz3D="0.0" fixed="true" fixed3D="true">Point</Point>
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<Line name="l16" n="80" color="2" hidden="super" large="true" from="O" to="P51">Droite passant par P44 et P51</Line>
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<Circle name="c4" n="24" color="2" large="true" fixed="(1+floor(4*windoww/d(P52,O)))*d(P52,O)" midpoint="O" acute="true">Cercle de centre P44 de rayon (1+floor(4*windoww/d(P52,P44)))*d(P52,P44)</Circle>
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<Line name="l17" n="81" color="2" hidden="super" large="true" from="O" to="P52">Droite passant par P44 et P52</Line>
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<Circle name="c5" n="26" color="1" hidden="super" large="true" fixed="E9*d(O,P52)" midpoint="O" acute="true">Cercle de centre P44 de rayon E9*d(P44,P52)</Circle>
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<Polygon name="poly26" n="109" color="4" background="true" large="true" ctag0="brown" cexpr0="poly26<0" ctag1="solid" cexpr1="poly26<0" ctag2="z" cexpr2="if(poly26<0,5,10)" ctag3="superhidden" cexpr3="a==0" point1="P62" point2="P64" point3="P61" point4="P63">Polygone P62, P64, P61, P63</Polygon>
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<Segment name="s23" n="113" color="2" large="true" ctag0="superhidden" cexpr0="a==0" from="P64" to="P62" is3D="true">Segment de P64 à P62</Segment>
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<Segment name="s20" n="110" color="2" large="true" ctag0="superhidden" cexpr0="a==0" from="P62" to="P63" is3D="true">Segment de P62 à P63</Segment>
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<Segment name="s21" n="111" color="2" large="true" ctag0="superhidden" cexpr0="a==0" from="P63" to="P61" is3D="true">Segment de P63 à P61</Segment>
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<Segment name="s22" n="112" color="2" large="true" ctag0="superhidden" cexpr0="a==0" from="P61" to="P64" is3D="true">Segment de P61 à P64</Segment>
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<Intersection name="I14" n="82" color="1" hidden="super" large="true" first="a11" second="c4" shape="circle" which="first">Intersection entre a11 et c4</Intersection>
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<Intersection name="I15" n="83" color="3" hidden="super" large="true" first="a12" second="c4" shape="circle" which="first">Intersection entre a12 et c4</Intersection>
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<Intersection name="I16" n="84" color="2" type="thick" hidden="super" showname="true" large="true" first="l17" second="c5" shape="circle" which="second">Intersection entre l17 et c5</Intersection>
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<Point name="P53" n="85" color="1" hidden="super" bold="true" x="x(I14)+x(X)-x(O)" actx="-8.242358880534688" y="y(I14)+y(X)-y(O)" acty="16.413527524094512" shape="circle" fixed="true">Point à "x(C)+x(B)-x(A)", "y(C)+y(B)-y(A)" </Point>
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<Point name="P54" n="86" color="3" hidden="super" bold="true" x="x(I15)+x(Y)-x(O)" actx="8.084877832826063" y="y(I15)+y(Y)-y(O)" acty="16.960644609341934" shape="circle" fixed="true">Point à "x(C)+x(B)-x(A)", "y(C)+y(B)-y(A)" </Point>
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<Point name="P55" n="87" color="1" hidden="super" showname="true" bold="true" x="x(I16)+x(X)-x(O)" actx="-0.4025622028666581" y="y(I16)+y(X)-y(O)" acty="1.8369898510498843" shape="circle" fixed="true">Point à "x(C)+x(B)-x(A)", "y(C)+y(B)-y(A)" </Point>
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<Point name="P56" n="88" color="1" hidden="super" showname="true" bold="true" x="x(I16)+x(Y)-x(O)" actx="1.0101113557444017" y="y(I16)+y(Y)-y(O)" acty="1.8663318134565063" shape="circle" fixed="true">Point à "x(C)+x(B)-x(A)", "y(C)+y(B)-y(A)" </Point>
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<Point name="P57" n="89" color="2" type="thick" hidden="super" x="2*x(O)-x(I16)" actx="0.6666669271921424" y="2*y(O)-y(I16)" acty="-1.603581705919638" shape="circle" fixed="true">Point</Point>
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<Line name="l18" n="90" color="1" hidden="super" large="true" from="I14" to="P53">Droite passant par I14 et P53</Line>
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<Line name="l19" n="91" color="3" hidden="super" large="true" from="P54" to="I15">Droite passant par P54 et I15</Line>
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<Point name="P58" n="92" color="2" type="thick" hidden="super" bold="true" x="x(P57)+x(I16)-x(P55)" actx="1.3400134927928296" y="y(P57)+y(I16)-y(P55)" acty="-1.274797766700615" shape="circle" fixed="true">Point à "x(C)+x(B)-x(A)", "y(C)+y(B)-y(A)" </Point>
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<Point name="P59" n="93" color="2" type="thick" hidden="super" bold="true" x="x(P57)+x(I16)-x(P56)" actx="-0.07266006581823037" y="y(P57)+y(I16)-y(P56)" acty="-1.304139729107237" shape="circle" fixed="true">Point à "x(C)+x(B)-x(A)", "y(C)+y(B)-y(A)" </Point>
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<Line name="l20" n="94" color="1" hidden="super" large="true" from="I16" to="P55">Droite passant par I16 et P55</Line>
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<Line name="l21" n="95" color="1" hidden="super" large="true" from="I16" to="P56">Droite passant par I16 et P56</Line>
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<Intersection name="I17" n="96" color="1" hidden="super" showname="true" large="true" first="l17" second="l18" shape="circle">Intersection entre l17 et l18</Intersection>
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<Intersection name="I18" n="97" color="3" hidden="super" showname="true" large="true" first="l17" second="l19" shape="circle">Intersection entre l17 et l19</Intersection>
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<Line name="l22" n="98" color="1" hidden="super" large="true" from="P57" to="P58">Droite passant par P57 et P58</Line>
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<Line name="l23" n="99" color="1" hidden="super" large="true" from="P57" to="P59">Droite passant par P57 et P59</Line>
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<Point name="P60" n="100" color="5" type="thick" hidden="super" showname="true" large="true" x="if(d(O,I17)>d(O,I18),x(I17),x(I18))" actx="-1.6992668530459256" y="if(d(O,I17)>d(O,I18),y(I17),y(I18))" acty="20.923415688789024" shape="circle" fixed="true">Point</Point>
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<Intersection name="I19" n="101" color="1" hidden="super" showname="true" large="true" first="l23" second="l20" shape="circle">Intersection entre l23 et l20</Intersection>
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<Intersection name="I20" n="102" color="1" hidden="super" showname="true" large="true" first="l22" second="l21" shape="circle">Intersection entre l22 et l21</Intersection>
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<Function name="f24" n="103" color="1" type="thin" large="true" ctag0="z" cexpr0="9" ctag1="superhidden" cexpr1="a==0" x="if(floor(t/2)==(t/2),if(floor(t/4)==(t/4),x(I16)+(t/2)*(x(P56)-x(I16)),x(I19)+(t/2)*(x(P56)-x(I16))),if(floor((t-1)/4)==(t-1)/4,x(I16)+((t+1)/2)*(x(P56)-x(I16)),x(I19)+((t+1)/2)*(x(P56)-x(I16))))" y="if(floor(t/2)==(t/2),if(floor(t/4)==(t/4),y(I16)+(t/2)*(y(P56)-y(I16)),y(I19)+(t/2)*(y(P56)-y(I16))),if(floor((t-1)/4)==(t-1)/4,y(I16)+((t+1)/2)*(y(P56)-y(I16)),y(I19)+((t+1)/2)*(y(P56)-y(I16))))" var="t" min="0" max="floor(((y(I20)-y(I16))/(y(P56)-y(I16)))*2)-1" d="1" shape="cross" color="1">Fonction ( if(floor(t/2)==(t/2),if(floor(t/4)==(t/4),x(I16)+(t/2)*(x(P56)-x(I16)),x(I19)+(t/2)*(x(P56)-x(I16))),if(floor((t-1)/4)==(t-1)/4,x(I16)+((t+1)/2)*(x(P56)-x(I16)),x(I19)+((t+1)/2)*(x(P56)-x(I16)))) , if(floor(t/2)==(t/2),if(floor(t/4)==(t/4),y(I16)+(t/2)*(y(P56)-y(I16)),y(I19)+(t/2)*(y(P56)-y(I16))),if(floor((t-1)/4)==(t-1)/4,y(I16)+((t+1)/2)*(y(P56)-y(I16)),y(I19)+((t+1)/2)*(y(P56)-y(I16)))) )</Function>
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<Function name="f25" n="104" color="1" type="thin" large="true" ctag0="z" cexpr0="9" ctag1="superhidden" cexpr1="a==0" x="if(floor(t/2)==(t/2),if(floor(t/4)==(t/4),x(I16)+(t/2)*(x(P55)-x(I16)),x(I20)+(t/2)*(x(P55)-x(I16))),if(floor((t-1)/4)==(t-1)/4,x(I16)+((t+1)/2)*(x(P55)-x(I16)),x(I20)+((t+1)/2)*(x(P55)-x(I16))))" y="if(floor(t/2)==(t/2),if(floor(t/4)==(t/4),y(I16)+(t/2)*(y(P55)-y(I16)),y(I20)+(t/2)*(y(P55)-y(I16))),if(floor((t-1)/4)==(t-1)/4,y(I16)+((t+1)/2)*(y(P55)-y(I16)),y(I20)+((t+1)/2)*(y(P55)-y(I16))))" var="t" min="0" max="floor(((x(I19)-x(I16))/(x(P55)-x(I16)))*2)-1" d="1" shape="cross" color="1">Fonction ( if(floor(t/2)==(t/2),if(floor(t/4)==(t/4),x(I16)+(t/2)*(x(P55)-x(I16)),x(I20)+(t/2)*(x(P55)-x(I16))),if(floor((t-1)/4)==(t-1)/4,x(I16)+((t+1)/2)*(x(P55)-x(I16)),x(I20)+((t+1)/2)*(x(P55)-x(I16)))) , if(floor(t/2)==(t/2),if(floor(t/4)==(t/4),y(I16)+(t/2)*(y(P55)-y(I16)),y(I20)+(t/2)*(y(P55)-y(I16))),if(floor((t-1)/4)==(t-1)/4,y(I16)+((t+1)/2)*(y(P55)-y(I16)),y(I20)+((t+1)/2)*(y(P55)-y(I16)))) )</Function>
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</Objects>
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</Construction>
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</CaR>
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