<?xml version="1.0" encoding="utf-8"?>
<CaR>
<Construction>
<Window x="-0.4247764589159395" y="0.30374494664911533" w="2.8284271247461934"/>
<Windowdim w="800" h="600"/>
<Preferences minfontsize="14" minpointsize="2" minlinesize="1" arrowsize="15" digits.lengths="2" digits.edit="2" digits.angles="0" colorbackground="245,245,245" fig3D="false"/>
<CTRLpopup Ename="a" x="385" y="480" w="155" h="22" showC="false" showU="false" showV="false" C="Commentaire : " U="°" V="1.0" Items="Premier calcul@@@Etape 2@@@Etape 3@@@Etape 4@@@Fin de la construction"/>
<Objects>
<Expression name="a" n="0" hidden="super" showvalue="true" x="-0.4247764589159396" y="0.30374494664911533" value="1" prompt="Valeur">Expression &quot;1&quot; à -0.42, 0.3</Expression>
<Point name="O" n="1" color="2" showname="true" xcoffset="-0.019540144860226594" ycoffset="0.03290119068777586" keepclose="true" x="0" actx="0.0" y="0" acty="0.0" shape="circle" fixed="true">Point à &quot;0&quot;, &quot;0&quot;</Point>
<Point name="A" n="2" color="2" showname="true" xcoffset="0.053401103969830555" ycoffset="0.01587037721428297" keepclose="true" x="1" actx="1.0" y="0" acty="0.0" shape="circle" fixed="true">Point à &quot;1&quot;, &quot;0&quot;</Point>
<Point name="B" n="6" color="2" showname="true" xcoffset="0.04296344999614421" ycoffset="0.1850751623936575" keepclose="true" x="0" actx="0.0" y="1" acty="1.0" shape="circle" fixed="true">Point à &quot;0&quot;, &quot;1&quot;</Point>
<Point name="C" n="7" color="2" showname="true" xcoffset="-0.174334299894622" ycoffset="0.010740862499035941" keepclose="true" x="-1" actx="-1.0" y="0" acty="0.0" shape="circle" fixed="true">Point à &quot;-1&quot;, &quot;0&quot;</Point>
<Point name="D" n="8" color="2" showname="true" xcoffset="-0.050124024995502836" ycoffset="-0.12062998739944097" keepclose="true" x="0" actx="0.0" y="-1" acty="-1.0" shape="circle" fixed="true">Point à &quot;0&quot;, &quot;-1&quot;</Point>
<Point name="I" n="9" color="2" showname="true" xcoffset="0.029703589659921814" ycoffset="0.04993200416126897" keepclose="true" x="0.5" actx="0.5" y="0" acty="0.0" shape="circle" fixed="true">Point à &quot;0.5&quot;, &quot;0&quot;</Point>
<Point name="P41" n="1323" color="2" hidden="super" x="0.0017483719816393517" y="-0.08205680025830153" shape="circle">Point à 0.0, -0.08</Point>
<Point name="P42" n="1326" color="2" hidden="super" x="0.989535553444232" y="-0.08631450362667481" shape="circle">Point à 0.99, -0.09</Point>
<Point name="P43" n="1328" color="2" hidden="super" x="0.006006075350012632" y="-0.08205680025830153" shape="circle">Point à 0.01, -0.08</Point>
<Text name="Text2" n="1455" showname="true" showvalue="true" x="-0.6031042034204854" y="1.993444466360505">$\fbox{Le\;pentagone\;regulier}$</Text>
<Text name="Text1" n="1381" showname="true" showvalue="true" ctag0="hidden" cexpr0="!a==3" x="-2.529985508727032" y="0.4648578841346586">Car chacun sait que :
$\cos(\frac{2π}{5})\,=\,\frac{\sqrt{5}-1}{4}$</Text>
<Circle name="c1" n="5" color="4" through="A" midpoint="O" acute="true">Cercle de centre P1 passant par P2</Circle>
<Segment name="s1" n="12" color="3" from="B" to="D">Segment de P3 à P5</Segment>
<Segment name="s3" n="18" color="3" from="C" to="O">Segment de P4 à P1</Segment>
<Segment name="s4" n="21" color="3" from="O" to="I">Segment de P1 à P6</Segment>
<Segment name="s5" n="24" color="3" from="I" to="A">Segment de P6 à P2</Segment>
<Midpoint name="P7" n="205" hidden="super" first="O" second="I" shape="circle">Milieu de P1 et P6</Midpoint>
<Midpoint name="P13" n="358" hidden="super" first="I" second="A" shape="circle">Milieu de P6 et P2</Midpoint>
<Circle name="c6" n="408" color="4" ctag0="thin" cexpr0="a&gt;2" ctag1="black" cexpr1="a&gt;2" through="A" midpoint="I" acute="true">Cercle de centre P6 passant par P2</Circle>
<Midpoint name="P20" n="670" color="3" hidden="super" first="O" second="I" shape="circle">Milieu de P1 et P6</Midpoint>
<Midpoint name="P26" n="880" color="3" hidden="super" first="I" second="A" shape="circle">Milieu de P6 et P2</Midpoint>
<Segment name="s15" n="960" hidden="super" large="true" from="I" to="O">Segment de P6 à P1</Segment>
<Segment name="s16" n="961" hidden="super" large="true" from="O" to="B">Segment de P1 à P3</Segment>
<Circle name="c9" n="5" hidden="super" large="true" fixed="windoww/24" midpoint="O" acute="true">Cercle de centre P1 de rayon windoww/24</Circle>
<Midpoint name="P6" n="1113" hidden="super" first="O" second="I" shape="circle">Milieu de O et I</Midpoint>
<Midpoint name="P19" n="1266" hidden="super" first="I" second="A" shape="circle">Milieu de I et A</Midpoint>
<Segment name="s10" n="405" color="4" hidden="true" from="B" to="I">Segment de P3 à P6</Segment>
<Segment name="s25" alias="1" n="1327" color="3" type="thin" showname="true" xcoffset="0.5043567115652577" ycoffset="0.010757083139805008" keepclose="true" bold="true" large="true" from="P41" to="P42" arrow="true">Segment de P41 à P42</Segment>
<Segment name="s26" n="1331" color="3" type="thin" from="P43" to="P41" arrow="true">Segment de P43 à P41</Segment>
<Circle name="c2" n="4" hidden="super" fixed="3/pixel" midpoint="P7" acute="true">Cercle de centre P7 de rayon 3/pixel</Circle>
<Circle name="c4" n="4" hidden="super" fixed="3/pixel" midpoint="P13" acute="true">Cercle de centre P13 de rayon 3/pixel</Circle>
<Circle name="c7" n="4" color="3" hidden="super" fixed="6/pixel" midpoint="P20" acute="true">Cercle de centre P20 de rayon 6/pixel</Circle>
<Angle name="a3" n="671" color="3" hidden="super" unit="∞" first="I" root="P20" fixed="60" acute="true">Angle I - P20 de mesure 60</Angle>
<Circle name="c8" n="4" color="3" hidden="super" fixed="6/pixel" midpoint="P26" acute="true">Cercle de centre P26 de rayon 6/pixel</Circle>
<Angle name="a4" n="881" color="3" hidden="super" unit="∞" first="A" root="P26" fixed="60" acute="true">Angle A - P26 de mesure 60</Angle>
<Intersection name="P32" n="962" hidden="super" large="true" first="s15" second="c9" shape="circle" which="second">Intersection entre s15 et c9</Intersection>
<Intersection name="P33" n="964" hidden="super" large="true" first="s16" second="c9" shape="circle" which="first">Intersection entre s16 et c9</Intersection>
<Circle name="c10" n="4" hidden="super" fixed="3/pixel" midpoint="P6" acute="true">Cercle de centre P6 de rayon 3/pixel</Circle>
<Circle name="c12" n="4" hidden="super" fixed="3/pixel" midpoint="P19" acute="true">Cercle de centre P19 de rayon 3/pixel</Circle>
<Intersection name="E" n="409" color="2" showname="true" xcoffset="0.10311727271592308" ycoffset="-0.03548053303690463" keepclose="true" first="s10" second="c6" shape="circle" which="second">Intersection entre s10 et c6</Intersection>
<Intersection name="P8" n="206" hidden="super" first="s4" second="c2" shape="circle" which="first">Intersection entre s4 et c2</Intersection>
<Intersection name="P14" n="359" hidden="super" first="s5" second="c4" shape="circle" which="first">Intersection entre s5 et c4</Intersection>
<Intersection name="P21" n="672" color="3" hidden="super" first="a3" second="c7" shape="circle" which="first">Intersection entre a3 et c7</Intersection>
<Intersection name="P27" n="882" color="3" hidden="super" first="a4" second="c8" shape="circle" which="first">Intersection entre a4 et c8</Intersection>
<Parallel name="par1" n="963" hidden="super" large="true" point="P32" line="s16">Parallèle passant par P32 à s16</Parallel>
<Parallel name="par2" n="965" hidden="super" large="true" point="P33" line="s15">Parallèle passant par P33 à s15</Parallel>
<Intersection name="P1" n="1114" hidden="super" first="s4" second="c10" shape="circle" which="first">Intersection entre s4 et c10</Intersection>
<Intersection name="P35" n="1267" hidden="super" first="s5" second="c12" shape="circle" which="first">Intersection entre s5 et c12</Intersection>
<Segment name="s23" n="1313" color="4" ctag0="thin" cexpr0="a&gt;2" ctag1="black" cexpr1="a&gt;2" from="I" to="E">Segment de I à E</Segment>
<Segment name="s24" n="1316" color="4" xcoffset="0.3714540422627511" ycoffset="0.26863910498140586" keepclose="true" bold="true" large="true" ctag0="thick" cexpr0="a&lt;3" ctag1="red" cexpr1="a&lt;3" ctag2="thin" cexpr2="a&gt;2" ctag3="black" cexpr3="a&gt;2" from="E" to="B">Segment de E à B</Segment>
<Midpoint name="P40" alias="$\frac{\sqrt{5}-1}{2}$" n="1322" color="5" showname="true" xcoffset="-0.11495371210241745" ycoffset="-0.10407243382589004" keepclose="true" bold="true" large="true" ctag0="hidden" cexpr0="a&gt;2" first="E" second="B" shape="dot">Milieu de E et B</Midpoint>
<Circle name="c14" n="1334" color="4" ctag0="thin" cexpr0="a&gt;2" ctag1="black" cexpr1="a&gt;2" ctag2="hidden" cexpr2="a&lt;2" through="E" midpoint="B" acute="true">Cercle de centre B passant par E</Circle>
<Circle name="c3" n="6" hidden="super" fixed="6/pixel" midpoint="P8" acute="true">Cercle de centre P8 de rayon 6/pixel</Circle>
<Angle name="a1" n="207" hidden="super" unit="∞" first="I" root="P8" fixed="60" acute="true">Angle I - P8 de mesure 60</Angle>
<Circle name="c5" n="6" hidden="super" fixed="6/pixel" midpoint="P14" acute="true">Cercle de centre P14 de rayon 6/pixel</Circle>
<Angle name="a2" n="360" hidden="super" unit="∞" first="A" root="P14" fixed="60" acute="true">Angle A - P14 de mesure 60</Angle>
<Point name="P22" n="673" color="3" hidden="super" x="2*x(P20)-x(P21)" actx="0.22851827500192762" y="2*y(P20)-y(P21)" acty="-0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P20)-x(P21)&quot;, &quot;2*y(P20)-y(P21)&quot;</Point>
<Plumb name="perp1" n="675" color="3" hidden="super" point="P21" line="s4" valid="true">Perpendiculaire passant par P21 à s4</Plumb>
<Point name="P28" n="883" color="3" hidden="super" x="2*x(P26)-x(P27)" actx="0.7285182750019277" y="2*y(P26)-y(P27)" acty="-0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P26)-x(P27)&quot;, &quot;2*y(P26)-y(P27)&quot;</Point>
<Plumb name="perp2" n="885" color="3" hidden="super" point="P27" line="s5" valid="true">Perpendiculaire passant par P27 à s5</Plumb>
<Intersection name="P34" n="966" hidden="super" large="true" first="par2" second="par1" shape="circle">Intersection entre par2 et par1</Intersection>
<Circle name="c11" n="6" hidden="super" fixed="6/pixel" midpoint="P1" acute="true">Cercle de centre P1 de rayon 6/pixel</Circle>
<Angle name="a5" n="1115" hidden="super" unit="∞" first="I" root="P1" fixed="60" acute="true">Angle I - P1 de mesure 60</Angle>
<Circle name="c13" n="6" hidden="super" fixed="6/pixel" midpoint="P35" acute="true">Cercle de centre P35 de rayon 6/pixel</Circle>
<Angle name="a6" n="1268" hidden="super" unit="∞" first="A" root="P35" fixed="60" acute="true">Angle A - P35 de mesure 60</Angle>
<Intersection name="P50*" n="1335" color="2" ctag0="hidden" cexpr0="a&lt;2" first="c14" second="c1" shape="circle" which="second">Intersection entre c14 et c1</Intersection>
<Intersection name="P49" n="1389" color="2" ctag0="hidden" cexpr0="a&lt;2" first="c14" second="c1" shape="circle" which="first">Intersection entre c14 et c1</Intersection>
<Polygon name="poly2" n="1385" color="5" type="thin" background="true" ctag0="hidden" cexpr0="a&lt;3||a==5" point1="B" point2="O" point3="P50*">Polygone</Polygon>
<Polygon name="poly1" n="1342" color="5" type="thin" background="true" ctag0="hidden" cexpr0="!a==3" point1="B" point2="P50*" point3="D">Polygone</Polygon>
<Intersection name="P9" n="208" hidden="super" first="a1" second="c3" shape="circle" which="first">Intersection entre a1 et c3</Intersection>
<Intersection name="P15" n="361" hidden="super" first="a2" second="c5" shape="circle" which="first">Intersection entre a2 et c5</Intersection>
<Intersection name="P23" n="676" color="3" hidden="super" first="perp1" second="s4" shape="circle">Intersection entre perp1 et s4</Intersection>
<Intersection name="P29" n="886" color="3" hidden="super" first="perp2" second="s5" shape="circle">Intersection entre perp2 et s5</Intersection>
<Segment name="s17" n="967" color="4" from="P32" to="P34">Segment de P32 à P34</Segment>
<Segment name="s18" n="968" color="4" from="P34" to="P33">Segment de P34 à P33</Segment>
<Intersection name="P2" n="1116" hidden="super" first="a5" second="c11" shape="circle" which="first">Intersection entre a5 et c11</Intersection>
<Intersection name="P36" n="1269" hidden="super" first="a6" second="c13" shape="circle" which="first">Intersection entre a6 et c13</Intersection>
<Segment name="s27" n="1338" color="4" hidden="true" from="B" to="P50*">Segment de B à P44</Segment>
<Midpoint name="P45" alias="$\frac{\sqrt{5}-1}{2}$" n="1341" color="5" showname="true" xcoffset="0.06654316637079921" ycoffset="0.1485595998008984" keepclose="true" bold="true" large="true" ctag0="hidden" cexpr0="!(a==2||a==3)" first="B" second="P50*" shape="dot">Milieu de B et P44</Midpoint>
<Segment name="s28" n="1363" hidden="super" large="true" from="B" to="P50*">Segment de B à P44</Segment>
<Segment name="s29" n="1364" hidden="super" large="true" from="P50*" to="D">Segment de P44 à D</Segment>
<Circle name="c15" n="5" hidden="super" large="true" fixed="windoww/24" midpoint="P50*" acute="true">Cercle de centre P44 de rayon windoww/24</Circle>
<Angle name="a8" alias="$\frac{π}{5}$" n="1380" color="5" showname="true" xcoffset="0.12560502044054855" ycoffset="0.27029885673341614" keepclose="true" unit="°" bold="true" large="true" ctag0="z" cexpr0="1" ctag1="hidden" cexpr1="!(a==3||a==4)" first="P50*" root="O" second="B" filled="true" acute="true">Angle P44 - O - B</Angle>
<Segment name="s32" n="1384" color="5" type="thin" ctag0="hidden" cexpr0="a&lt;4" from="O" to="P50*">Segment de O à P44</Segment>
<Angle name="a9" alias="$\frac{2π}{5}$" n="1388" color="1" showname="true" unit="°" bold="true" large="true" ctag0="hidden" cexpr0="!a==3" first="O" root="B" second="P50*" display="larger" filled="true" acute="true">Angle O - B - P44</Angle>
<Segment name="s2" n="1413" color="2" type="thick" ctag0="hidden" cexpr0="a&lt;4" from="P49" to="P50*">Segment de P49 à P44</Segment>
<Circle3 name="c19" n="1416" color="5" type="thick" hidden="true" from="P50*" to="P49" midpoint="P49" partial="true">Arc de cercle de centre P49 de rayon allant de P44 à P49</Circle3>
<Circle3 name="c22" n="1434" color="5" type="thick" hidden="true" from="P50*" to="P49" midpoint="D">Arc de cercle de centre D de rayon allant de P44 à P49</Circle3>
<Polygon name="poly3" n="1448" color="2" type="thin" background="true" ctag0="hidden" cexpr0="a&lt;4" point1="P49" point2="P50*" point3="O">Polygone</Polygon>
<Angle name="a7" alias="$\frac{2π}{5}$" n="1451" color="2" showname="true" xcoffset="-0.05503403500290238" ycoffset="0.3606183844551418" keepclose="true" unit="°" bold="true" large="true" ctag0="z" cexpr0="1" ctag1="hidden" cexpr1="a&lt;4" first="P50*" root="O" second="P49" display="larger" filled="true" acute="true">Angle P44 - O - P49</Angle>
<Segment name="s8" n="1454" color="5" type="thick" ctag0="hidden" cexpr0="!(a==2||a==3)" from="B" to="P50*">Segment de B à P50*</Segment>
<Point name="P10" n="209" hidden="super" x="2*x(P8)-x(P9)" actx="0.24999999999999994" y="2*y(P8)-y(P9)" acty="-0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P8)-x(P9)&quot;, &quot;2*y(P8)-y(P9)&quot;</Point>
<Point name="P11" n="210" hidden="super" x="2*x(P7)-x(P9)" actx="0.2070365500038553" y="2*y(P7)-y(P9)" acty="-0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P7)-x(P9)&quot;, &quot;2*y(P7)-y(P9)&quot;</Point>
<Point name="P16" n="362" hidden="super" x="2*x(P14)-x(P15)" actx="0.75" y="2*y(P14)-y(P15)" acty="-0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P14)-x(P15)&quot;, &quot;2*y(P14)-y(P15)&quot;</Point>
<Point name="P17" n="363" hidden="super" x="2*x(P13)-x(P15)" actx="0.7070365500038553" y="2*y(P13)-y(P15)" acty="-0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P13)-x(P15)&quot;, &quot;2*y(P13)-y(P15)&quot;</Point>
<Point name="P24" n="677" color="3" hidden="super" x="2*x(P23)-x(P21)" actx="0.2714817249980724" y="2*y(P23)-y(P21)" acty="-0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P23)-x(P21)&quot;, &quot;2*y(P23)-y(P21)&quot;</Point>
<Point name="P30" n="887" color="3" hidden="super" x="2*x(P29)-x(P27)" actx="0.7714817249980723" y="2*y(P29)-y(P27)" acty="-0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P29)-x(P27)&quot;, &quot;2*y(P29)-y(P27)&quot;</Point>
<Point name="P3" n="1117" hidden="super" x="2*x(P1)-x(P2)" actx="0.24999999999999994" y="2*y(P1)-y(P2)" acty="-0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P1)-x(P2)&quot;, &quot;2*y(P1)-y(P2)&quot;</Point>
<Point name="P4" n="1118" hidden="super" x="2*x(P6)-x(P2)" actx="0.2070365500038553" y="2*y(P6)-y(P2)" acty="-0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P6)-x(P2)&quot;, &quot;2*y(P6)-y(P2)&quot;</Point>
<Point name="P37" n="1270" hidden="super" x="2*x(P35)-x(P36)" actx="0.75" y="2*y(P35)-y(P36)" acty="-0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P35)-x(P36)&quot;, &quot;2*y(P35)-y(P36)&quot;</Point>
<Point name="P38" n="1271" hidden="super" x="2*x(P19)-x(P36)" actx="0.7070365500038553" y="2*y(P19)-y(P36)" acty="-0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P19)-x(P36)&quot;, &quot;2*y(P19)-y(P36)&quot;</Point>
<Intersection name="P46" n="1365" hidden="super" large="true" first="s28" second="c15" shape="circle" which="second">Intersection entre s28 et c15</Intersection>
<Intersection name="P47" n="1367" hidden="super" large="true" first="s29" second="c15" shape="circle" which="first">Intersection entre s29 et c15</Intersection>
<Intersection name="P50" n="1417" color="2" ctag0="hidden" cexpr0="a&lt;5" first="c1" second="c19" shape="circle" which="second">Intersection entre c1 et c19</Intersection>
<Intersection name="P51" n="1435" color="2" ctag0="hidden" cexpr0="a&lt;5" first="c22" second="c1" shape="circle" which="first">Intersection entre c22 et c1</Intersection>
<Point name="P12" n="211" hidden="super" x="2*x(P7)-x(P10)" actx="0.25000000000000006" y="2*y(P7)-y(P10)" acty="0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P7)-x(P10)&quot;, &quot;2*y(P7)-y(P10)&quot;</Point>
<Point name="P18" n="364" hidden="super" x="2*x(P13)-x(P16)" actx="0.75" y="2*y(P13)-y(P16)" acty="0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P13)-x(P16)&quot;, &quot;2*y(P13)-y(P16)&quot;</Point>
<Point name="P25" n="678" color="3" hidden="super" x="2*x(P20)-x(P24)" actx="0.22851827500192762" y="2*y(P20)-y(P24)" acty="0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P20)-x(P24)&quot;, &quot;2*y(P20)-y(P24)&quot;</Point>
<Point name="P31" n="888" color="3" hidden="super" x="2*x(P26)-x(P30)" actx="0.7285182750019277" y="2*y(P26)-y(P30)" acty="0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P26)-x(P30)&quot;, &quot;2*y(P26)-y(P30)&quot;</Point>
<Point name="P5" n="1119" hidden="super" x="2*x(P6)-x(P3)" actx="0.25000000000000006" y="2*y(P6)-y(P3)" acty="0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P6)-x(P3)&quot;, &quot;2*y(P6)-y(P3)&quot;</Point>
<Segment name="s19" n="1120" color="3" from="P3" to="P2">Segment de P3 à P2</Segment>
<Point name="P39" n="1272" hidden="super" x="2*x(P19)-x(P37)" actx="0.75" y="2*y(P19)-y(P37)" acty="0.03720743913088376" shape="circle" fixed="true">Point à &quot;2*x(P19)-x(P37)&quot;, &quot;2*y(P19)-y(P37)&quot;</Point>
<Segment name="s21" n="1273" color="3" from="P37" to="P36">Segment de P37 à P36</Segment>
<Parallel name="par3" n="1366" hidden="super" large="true" point="P46" line="s29">Parallèle passant par P46 à s29</Parallel>
<Parallel name="par4" n="1368" hidden="super" large="true" point="P47" line="s28">Parallèle passant par P47 à s28</Parallel>
<Circle name="c20" n="1420" color="5" type="thick" ctag0="hidden" cexpr0="a&lt;5" through="P50" midpoint="P49" partial="true" acute="true">Cercle de centre P49 passant par P50</Circle>
<Segment name="s6" n="1428" color="2" type="thick" ctag0="hidden" cexpr0="a&lt;5" from="P49" to="P50">Segment de P49 à P50</Segment>
<Segment name="s7" n="1431" color="2" type="thick" ctag0="hidden" cexpr0="a&lt;5" from="P50" to="D">Segment de P50 à D</Segment>
<Circle name="c25" n="1438" color="5" type="thick" ctag0="hidden" cexpr0="a&lt;5" through="P51" midpoint="D" partial="true" acute="true">Cercle de centre D passant par P51</Circle>
<Segment name="s35" n="1441" color="2" type="thick" ctag0="hidden" cexpr0="a&lt;5" from="P51" to="D">Segment de P51 à D</Segment>
<Segment name="s9" n="1444" color="2" type="thick" ctag0="hidden" cexpr0="a&lt;5" from="P51" to="P50*">Segment de P51 à P44</Segment>
<Circle name="c24" n="1447" color="5" type="thick" ctag0="hidden" cexpr0="a&lt;5" through="D" midpoint="P50" partial="true" acute="true">Cercle de centre P50 passant par D</Circle>
<Segment name="s20" n="1121" color="3" from="P5" to="P4">Segment de P5 à P4</Segment>
<Segment name="s22" n="1274" color="3" from="P39" to="P38">Segment de P39 à P38</Segment>
<Intersection name="P48" n="1369" hidden="super" large="true" first="par4" second="par3" shape="circle">Intersection entre par4 et par3</Intersection>
<Segment name="s30" n="1370" color="5" ctag0="hidden" cexpr0="!a==3" from="P46" to="P48">Segment de P46 à P48</Segment>
<Segment name="s31" n="1371" color="5" ctag0="hidden" cexpr0="!a==3" from="P48" to="P47">Segment de P48 à P47</Segment>
</Objects>
</Construction>
</CaR>
