<?xml version="1.0" encoding="utf-8"?>
<CaR>
<Macro Name="report de mes. algébrique" showduplicates="true">
<Parameter name="O">origine ?</Parameter>
<Parameter name="I">point d&apos;abscisse 1 ?</Parameter>
<Parameter name="k">nombre à reporter ?</Parameter>
<Objects>
<Point name="O" n="0" mainparameter="true" x="-3.7499085670158823" y="0.6770668246000908">Point à -3.75, 0.68</Point>
<Point name="I" n="1" mainparameter="true" x="-1.0069198929950058" y="0.7465095758411254">Point à -1.01, 0.75</Point>
<Expression name="k" n="2" color="1" type="thick" mainparameter="true" x="0.0" y="0.0" value="3" prompt="Valeur">Expression &quot;3&quot; à 0.0, 0.0</Expression>
<Point name="P3" n="3" color="2" target="true" x="x(O)+k*(x(I)-x(O))" actx="4.479057455046746" y="y(O)+k*(y(I)-y(O))" acty="0.8853950783231946" shape="circle" fixed="true">Point à &quot;x(O)+k*(x(I)-x(O))&quot;, &quot;y(O)+k*(y(I)-y(O))&quot;</Point>
</Objects>
</Macro>
<Construction>
<Window x="3.7490081757094322" y="3.8565203155806764" w="7.400784151177126"/>
<Windowdim w="800" h="600"/>
<Preferences minfontsize="14" minpointsize="2" minlinesize="1" arrowsize="12" digits.lengths="2" digits.edit="2" digits.angles="0" colorbackground="255,255,255"/>
<Restrict icons=" properties_panel move back undo hide delete color0 color1 color2 color3 color4 color5 ln thickness0 thickness1 thickness2 ln type0 type1 type2 type3 type4 type5 history_panel hidden partial plines showvalue solid obtuse longnames large bold ln showname acolor0 acolor1 acolor2 acolor3 acolor4 acolor5 athickness2 athickness1 athickness0 blank numgrid dottedgrid exportpng expression save point midpoint plumb parallel bi_expression intersection rename bi_symc bi_trans locus ln line "/>
<Objects>
<Expression name="E1" n="34" color="2" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="windowcx-windoww+3/pixel" y="windowcy+windowh/2-20/pixel" value="0.12499999999999985" prompt="Vitesse de rotation" fixed="true" slider="true" min="0" max="2">Expression &quot;0.12499999999999985&quot; à -3.7, 8.13</Expression>
<Point name="P1" n="385" hidden="super" x="4.750818629260492" y="7.5318081600532025">Point à 4.75, 7.53</Point>
<Point name="P2" n="389" hidden="super" x="9.568720415103181" y="10.332104865904013">Point à 9.57, 10.33</Point>
<Point name="o" n="33" color="5" hidden="true" showname="true" xcoffset="0.05470909219753661" ycoffset="0.21182056551614892" keepclose="true" ctag0="z" cexpr0="1" x="(windoww/(windoww-d(windoww)))*(x(o)-windowcx)+windowcx+d(windowcx)" actx="0.582596728750107" y="(windoww/(windoww-d(windoww)))*(y(o)-windowcy)+windowcy+d(windowcy)" acty="1.954799831164276" shape="cross" fixed="true">Point à &quot;(windoww/(windoww-d(windoww)))*(x(o)-windowcx)+windowcx+d(windowcx)&quot;, &quot;(windoww/(windoww-d(windoww)))*(y(o)-windowcy)+windowcy+d(windowcy)&quot;</Point>
<Expression name="E2" n="35" color="2" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="windowcx-windoww+3/pixel" y="windowcy+windowh/2-60/pixel" value="-360*(windowcx/windoww)*E1" prompt="Phi" fixed="true">Expression &quot;-360*(windowcx/windoww)*E1&quot; à -3.7, 7.32</Expression>
<Expression name="E3" n="36" color="2" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="windowcx-windoww+3/pixel" y="windowcy+windowh/2-90/pixel" value="360*(windowcy/windowh)*E1" prompt="Theta" fixed="true">Expression &quot;360*(windowcy/windowh)*E1&quot; à -3.7, 6.71</Expression>
<Point name="P26" n="100" hidden="super" x="(windoww/(windoww-d(windoww)))*(x(P26)-windowcx)+windowcx+d(windowcx)" actx="5.045495910222267" y="(windoww/(windoww-d(windoww)))*(y(P26)-windowcy)+windowcy+d(windowcy)" acty="7.8675292442294555" shape="dcross" fixed="true">Point à &quot;(windoww/(windoww-d(windoww)))*(x(P26)-windowcx)+windowcx+d(windowcx)&quot;, &quot;(windoww/(windoww-d(windoww)))*(y(P26)-windowcy)+windowcy+d(windowcy)&quot;</Point>
<Point name="P34" n="116" hidden="super" x="(windoww/(windoww-d(windoww)))*(x(P34)-windowcx)+windowcx+d(windowcx)" actx="6.585075094956104" y="(windoww/(windoww-d(windoww)))*(y(P34)-windowcy)+windowcy+d(windowcy)" acty="3.248791690027829" shape="dcross" fixed="true">Point à &quot;(windoww/(windoww-d(windoww)))*(x(P34)-windowcx)+windowcx+d(windowcx)&quot;, &quot;(windoww/(windoww-d(windoww)))*(y(P34)-windowcy)+windowcy+d(windowcy)&quot;</Point>
<Point name="P38" n="124" hidden="super" x="(windoww/(windoww-d(windoww)))*(x(P38)-windowcx)+windowcx+d(windowcx)" actx="5.126526393629313" y="(windoww/(windoww-d(windoww)))*(y(P38)-windowcy)+windowcy+d(windowcy)" acty="5.598675708832225" shape="dcross" fixed="true">Point à &quot;(windoww/(windoww-d(windoww)))*(x(P38)-windowcx)+windowcx+d(windowcx)&quot;, &quot;(windoww/(windoww-d(windoww)))*(y(P38)-windowcy)+windowcy+d(windowcy)&quot;</Point>
<Point name="P42" n="132" hidden="super" x="(windoww/(windoww-d(windoww)))*(x(P42)-windowcx)+windowcx+d(windowcx)" actx="6.531054772684748" y="(windoww/(windoww-d(windoww)))*(y(P42)-windowcy)+windowcy+d(windowcy)" acty="0.6558162210022043" shape="dcross" fixed="true">Point à &quot;(windoww/(windoww-d(windoww)))*(x(P42)-windowcx)+windowcx+d(windowcx)&quot;, &quot;(windoww/(windoww-d(windoww)))*(y(P42)-windowcy)+windowcy+d(windowcy)&quot;</Point>
<Point name="P45" n="286" hidden="super" x="(windoww/(windoww-d(windoww)))*(x(P45)-windowcx)+windowcx+d(windowcx)" actx="4.988733439612253" y="(windoww/(windoww-d(windoww)))*(y(P45)-windowcy)+windowcy+d(windowcy)" acty="0.8229501622428246" shape="dcross" fixed="true">Point à &quot;(windoww/(windoww-d(windoww)))*(x(P45)-windowcx)+windowcx+d(windowcx)&quot;, &quot;(windoww/(windoww-d(windoww)))*(y(P45)-windowcy)+windowcy+d(windowcy)&quot;</Point>
<Point name="P46" n="291" type="thin" hidden="true" x="(windoww/(windoww-d(windoww)))*(x(P46)-windowcx)+windowcx+d(windowcx)" actx="1.4444601995200932" y="(windoww/(windoww-d(windoww)))*(y(P46)-windowcy)+windowcy+d(windowcy)" acty="8.212678075450722" shape="diamond" fixed="true">Point à &quot;(windoww/(windoww-d(windoww)))*(x(P46)-windowcx)+windowcx+d(windowcx)&quot;, &quot;(windoww/(windoww-d(windoww)))*(y(P46)-windowcy)+windowcy+d(windowcy)&quot;</Point>
<Point name="P41" n="436" type="thin" x="(windoww/(windoww-d(windoww)))*(x(P41)-windowcx)+windowcx+d(windowcx)" actx="-0.3019473596717206" y="(windoww/(windoww-d(windoww)))*(y(P41)-windowcy)+windowcy+d(windowcy)" acty="-0.3632250337747087" shape="diamond" fixed="true">Point à &quot;(windoww/(windoww-d(windoww)))*(x(P41)-windowcx)+windowcx+d(windowcx)&quot;, &quot;(windoww/(windoww-d(windoww)))*(y(P41)-windowcy)+windowcy+d(windowcy)&quot;</Point>
<Point name="O" n="497" showname="true" x="(windoww/(windoww-d(windoww)))*(x(O)-windowcx)+windowcx+d(windowcx)" actx="4.917553041684767" y="(windoww/(windoww-d(windoww)))*(y(O)-windowcy)+windowcy+d(windowcy)" acty="0.6495138500705866" shape="diamond" fixed="true">Point à &quot;(windoww/(windoww-d(windoww)))*(x(O)-windowcx)+windowcx+d(windowcx)&quot;, &quot;(windoww/(windoww-d(windoww)))*(y(O)-windowcy)+windowcy+d(windowcy)&quot;</Point>
<Point name="P14" n="37" hidden="super" bold="true" large="true" x="x(o)+1" actx="1.582596728750107" y="y(o)" acty="1.954799831164276" fixed="true">Point à &quot;x(P2)+1&quot;, &quot;y(P2)&quot; </Point>
<Angle name="a1" n="38" color="1" hidden="super" unit="∞" large="true" first="o" root="o" fixed="90" inverse="true">Angle o - o de mesure 90</Angle>
<Point name="P15" n="40" type="thick" hidden="super" bold="true" large="true" ctag0="z" cexpr0="7" x="x(o)+1" actx="1.582596728750107" y="y(o)" acty="1.954799831164276" shape="circle" fixed="true">Point sur r1 </Point>
<Expression name="E4" n="101" color="1" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="x(P26)+7/pixel" y="y(P26)+25/pixel" value="3" prompt="x" fixed="true">Expression &quot;0&quot; à -6.68004, 2.71076 </Expression>
<Expression name="E5" n="102" color="1" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="x(P26)+7/pixel" y="y(P26)-4/pixel" value="-1" prompt="y" fixed="true">Expression &quot;0&quot; à -5.68004, 2.71076 </Expression>
<Expression name="E6" n="103" color="1" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="x(P26)+7/pixel" y="y(P26)-30/pixel" value="-1" prompt="z" fixed="true">Expression &quot;0&quot; à -4.58004, 2.71076 </Expression>
<Point name="P27" n="104" color="1" hidden="super" x="x(P26)" actx="5.045495910222267" y="y(P26)+40/pixel" acty="8.906235791763088" fixed="true">Point à &quot;x(P26)&quot;, &quot;y(P26)+40/pixel&quot;</Point>
<Point name="P28" n="105" color="1" hidden="super" x="x(P26)" actx="5.045495910222267" y="y(P26)-35/pixel" acty="6.958661015137528" fixed="true">Point à &quot;x(P26)&quot;, &quot;y(P26)-35/pixel&quot;</Point>
<Expression name="E10" n="117" color="1" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="x(P34)+7/pixel" y="y(P34)+25/pixel" value="-1" prompt="x" fixed="true">Expression &quot;0&quot; à -6.68004, 2.71076 </Expression>
<Expression name="E11" n="118" color="1" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="x(P34)+7/pixel" y="y(P34)-4/pixel" value="-1" prompt="y" fixed="true">Expression &quot;0&quot; à -5.68004, 2.71076 </Expression>
<Expression name="E12" n="119" color="1" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="x(P34)+7/pixel" y="y(P34)-30/pixel" value="-1" prompt="z" fixed="true">Expression &quot;0&quot; à -4.58004, 2.71076 </Expression>
<Point name="P35" n="120" color="1" hidden="super" x="x(P34)" actx="6.585075094956104" y="y(P34)+40/pixel" acty="4.2874982375614605" fixed="true">Point à &quot;x(P34)&quot;, &quot;y(P34)+40/pixel&quot;</Point>
<Point name="P36" n="121" color="1" hidden="super" x="x(P34)" actx="6.585075094956104" y="y(P34)-35/pixel" acty="2.339923460935901" fixed="true">Point à &quot;x(P34)&quot;, &quot;y(P34)-35/pixel&quot;</Point>
<Expression name="E13" n="125" color="1" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="x(P38)+7/pixel" y="y(P38)+25/pixel" value="-1" prompt="x" fixed="true">Expression &quot;0&quot; à -6.68004, 2.71076 </Expression>
<Expression name="E14" n="126" color="1" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="x(P38)+7/pixel" y="y(P38)-4/pixel" value="3" prompt="y" fixed="true">Expression &quot;0&quot; à -5.68004, 2.71076 </Expression>
<Expression name="E15" n="127" color="1" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="x(P38)+7/pixel" y="y(P38)-30/pixel" value="-1" prompt="z" fixed="true">Expression &quot;0&quot; à -4.58004, 2.71076 </Expression>
<Point name="P39" n="128" color="1" hidden="super" x="x(P38)" actx="5.126526393629313" y="y(P38)+40/pixel" acty="6.637382256365857" fixed="true">Point à &quot;x(P38)&quot;, &quot;y(P38)+40/pixel&quot;</Point>
<Point name="P40" n="129" color="1" hidden="super" x="x(P38)" actx="5.126526393629313" y="y(P38)-35/pixel" acty="4.689807479740297" fixed="true">Point à &quot;x(P38)&quot;, &quot;y(P38)-35/pixel&quot;</Point>
<Expression name="E16" n="133" color="1" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="x(P42)+7/pixel" y="y(P42)+25/pixel" value="-1" prompt="x" fixed="true">Expression &quot;0&quot; à -6.68004, 2.71076 </Expression>
<Expression name="E17" n="134" color="1" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="x(P42)+7/pixel" y="y(P42)-4/pixel" value="-1" prompt="y" fixed="true">Expression &quot;0&quot; à -5.68004, 2.71076 </Expression>
<Expression name="E18" n="135" color="1" type="thick" hidden="super" showname="true" showvalue="true" large="true" x="x(P42)+7/pixel" y="y(P42)-30/pixel" value="5" prompt="z" fixed="true">Expression &quot;0&quot; à -4.58004, 2.71076 </Expression>
<Point name="P43" n="136" color="1" hidden="super" x="x(P42)" actx="6.531054772684748" y="y(P42)+40/pixel" acty="1.694522768535836" fixed="true">Point à &quot;x(P42)&quot;, &quot;y(P42)+40/pixel&quot;</Point>
<Point name="P44" n="137" color="1" hidden="super" x="x(P42)" actx="6.531054772684748" y="y(P42)-35/pixel" acty="-0.2530520080897235" fixed="true">Point à &quot;x(P42)&quot;, &quot;y(P42)-35/pixel&quot;</Point>
<Text name="Text2" n="292" x="x(P46)+15/pixel" y="y(P46)+8/pixel" fixed="true">Le triangle ABC
 est rectangle isocèle.
Les triangles SAB et 
SAC sont rectangles en A.
SA = 6
AB = AC = 4</Text>
<Point name="P47" n="498" color="2" showname="true" x="x(O)+windoww*3" actx="27.11990549521614" y="y(O)" acty="0.6495138500705866" shape="circle" fixed="true">Point à &quot;x(O)+windoww*3&quot;, &quot;y(O)&quot;</Point>
<Ray name="r1" n="39" hidden="super" bold="true" large="true" from="o" to="P14">Demi-droite d&apos;origine P13 vers P14</Ray>
<Point name="P16" n="41" hidden="super" showname="true" xcoffset="-0.05429864253393646" ycoffset="-6.742081447796977E-6" keepclose="true" bold="true" large="true" x="x(o)" actx="0.582596728750107" y="y(o)+d(o,P15)" acty="2.954799831164276" shape="dot" fixed="true">Point à &quot;x(P2)&quot;, &quot;y(P2)+d(P2,po8)&quot; </Point>
<Segment name="s1" n="42" hidden="super" bold="true" large="true" ctag0="z" cexpr0="7" from="o" to="P15" arrow="true">Segment de P13 à P15</Segment>
<Segment name="s6" n="106" hidden="super" from="P27" to="P28">Segment de P27 à P28</Segment>
<Segment name="s8" n="122" hidden="super" from="P35" to="P36">Segment de P35 à P36</Segment>
<Segment name="s9" n="130" hidden="super" from="P39" to="P40">Segment de P39 à P40</Segment>
<Segment name="s10" n="138" hidden="super" from="P43" to="P44">Segment de P43 à P44</Segment>
<Segment name="s25" n="499" color="3" from="O" to="P47">Segment de P37 à P47</Segment>
<Point name="P48" n="500" color="2" showname="true" x="x(O)" actx="4.917553041684767" y="y(O)+d(O,P47)" acty="22.851866303601962" shape="circle" fixed="true">Point à &quot;x(O)&quot;, &quot;y(O)+d(O,P47)&quot;</Point>
<Segment name="s2" n="43" hidden="super" bold="true" large="true" ctag0="z" cexpr0="7" from="o" to="P16" arrow="true">Segment de P13 à P16</Segment>
<Segment name="s26" n="501" color="3" from="O" to="P48">Segment de P37 à P48</Segment>
<PointOn name="I" n="502" showname="true" on="s25" alpha="0.06767713574625199" x="6.42014466256854" y="0.6495138500705866" shape="dcross">Point sur s25</PointOn>
<Point name="X" alias="X" n="44" hidden="super" showname="true" bold="true" large="true" ctag0="z" cexpr0="7" x="x(o)+s1*sin(E2)" actx="0.1951518228507657" y="y(o)-s2*cos(E2)*sin(E3)" acty="1.6741009233543243" shape="dot" fixed="true">Point à &quot;x(P2)+s5*sin(a1)&quot;, &quot;y(P2)-s6*cos(a1)*sin(a2)&quot; </Point>
<Point name="Y" alias="Y" n="45" hidden="super" showname="true" xcoffset="0.05190351386152203" ycoffset="-0.01168034001854501" keepclose="true" bold="true" large="true" ctag0="z" cexpr0="7" x="x(o)+s1*cos(E2)" actx="1.5044895885188823" y="y(o)+s2*sin(E2)*sin(E3)" acty="1.8368301986087618" shape="dot" fixed="true">Point à &quot;x(P2)+s5*cos(a1)&quot;, &quot;y(P2)+s6*sin(a1)*sin(a2)&quot; </Point>
<Point name="Z" alias="Z" n="46" hidden="super" showname="true" xcoffset="0.19909502262443457" ycoffset="-0.03583450383056608" keepclose="true" bold="true" large="true" ctag0="z" cexpr0="7" x="x(o)" actx="0.582596728750107" y="y(o)+s2*cos(E3)" acty="2.9073182241357802" shape="dot" fixed="true">Point à &quot;x(P2)&quot;, &quot;y(P2)+s6*cos(a2)&quot; </Point>
<PointOn name="J" n="503" showname="true" xcoffset="-1.5613891289437536" ycoffset="0.46715328467153583" keepclose="true" on="s26" alpha="0.041415492937315154" x="4.917553041684767" y="1.569035221301597" shape="dcross">Point sur s26</PointOn>
<Segment name="s3" n="47" color="3" type="thick" hidden="super" bold="true" large="true" ctag0="z" cexpr0="7" from="o" to="X" arrow="true">Segment de P13 à P17</Segment>
<Segment name="s4" n="48" color="5" type="thick" hidden="super" bold="true" large="true" ctag0="z" cexpr0="7" from="o" to="Y" arrow="true">Segment de P13 à P18</Segment>
<Segment name="s5" n="49" color="2" type="thick" hidden="super" bold="true" large="true" ctag0="z" cexpr0="7" from="o" to="Z" arrow="true">Segment de P13 à P19</Segment>
<Point name="P20" n="50" color="2" hidden="super" showname="true" bold="true" x="x(X)+x(o)-x(o)" actx="0.1951518228507657" y="y(X)+y(o)-y(o)" acty="1.6741009233543243" shape="circle" fixed="true">Point à &quot;x(C)+x(B)-x(A)&quot;, &quot;y(C)+y(B)-y(A)&quot; </Point>
<Angle name="a2" n="51" color="3" hidden="super" unit="∞" large="true" first="X" root="o" fixed="90" acute="true">Angle X - o de mesure 90</Angle>
<Point name="P21" n="52" color="2" hidden="super" showname="true" bold="true" x="x(Y)+x(X)-x(o)" actx="1.1170446826195408" y="y(Y)+y(X)-y(o)" acty="1.55613129079881" shape="circle" fixed="true">Point à &quot;x(C)+x(B)-x(A)&quot;, &quot;y(C)+y(B)-y(A)&quot; </Point>
<Angle name="a3" n="53" color="1" hidden="super" unit="∞" large="true" first="X" root="o" fixed="90" inverse="true">Angle X - o de mesure 90</Angle>
<Angle name="a4" n="54" color="3" hidden="super" unit="∞" large="true" first="Y" root="o" fixed="90" acute="true">Angle Y - o de mesure 90</Angle>
<Point name="B" n="107" showname="true" x="x(o)+E4*(x(X)-x(o))+E5*(x(Y)-x(o))+E6*(x(Z)-x(o))" actx="-1.5016308487166923" y="y(o)+E4*(y(X)-y(o))+E5*(y(Y)-y(o))+E6*(y(Z)-y(o))" acty="0.2781543473184307" shape="dcross" fixed="true">Point à &quot;x(O)+E1*(x(X)-x(O))+E2*(x(Y)-x(O))+E3*(x(Z)-x(O))&quot;, &quot;y(O)+E1*(y(X)-y(O))+E2*(y(Y)-y(O))+E3*(y(Z)-y(O))&quot; </Point>
<Point name="A" n="123" showname="true" xcoffset="-0.15633410078441834" ycoffset="0.08910497143375551" keepclose="true" x="x(o)+E10*(x(X)-x(o))+E11*(x(Y)-x(o))+E12*(x(Z)-x(o))" actx="0.04814877488067315" y="y(o)+E10*(y(X)-y(o))+E11*(y(Y)-y(o))+E12*(y(Z)-y(o))" acty="1.4009499785582378" shape="dcross" fixed="true">Point à &quot;x(O)+E1*(x(X)-x(O))+E2*(x(Y)-x(O))+E3*(x(Z)-x(O))&quot;, &quot;y(O)+E1*(y(X)-y(O))+E2*(y(Y)-y(O))+E3*(y(Z)-y(O))&quot; </Point>
<Point name="C" n="131" showname="true" x="x(o)+E13*(x(X)-x(o))+E14*(x(Y)-x(o))+E15*(x(Z)-x(o))" actx="3.735720213955774" y="y(o)+E13*(y(X)-y(o))+E14*(y(Y)-y(o))+E15*(y(Z)-y(o))" acty="0.929071448336181" shape="dcross" fixed="true">Point à &quot;x(O)+E1*(x(X)-x(O))+E2*(x(Y)-x(O))+E3*(x(Z)-x(O))&quot;, &quot;y(O)+E1*(y(X)-y(O))+E2*(y(Y)-y(O))+E3*(y(Z)-y(O))&quot; </Point>
<Point name="S" n="139" showname="true" xcoffset="-9.94294959175246E-4" ycoffset="0.2832719550374634" keepclose="true" ctag0="z" cexpr0="1" x="x(o)+E16*(x(X)-x(o))+E17*(x(Y)-x(o))+E18*(x(Z)-x(o))" actx="0.04814877488067315" y="y(o)+E16*(y(X)-y(o))+E17*(y(Y)-y(o))+E18*(y(Z)-y(o))" acty="7.116060336387262" shape="dcross" fixed="true">Point à &quot;x(O)+E1*(x(X)-x(O))+E2*(x(Y)-x(O))+E3*(x(Z)-x(O))&quot;, &quot;y(O)+E1*(y(X)-y(O))+E2*(y(Y)-y(O))+E3*(y(Z)-y(O))&quot; </Point>
<Line name="l1" n="55" color="2" hidden="super" large="true" from="o" to="P20">Droite passant par P13 et P20</Line>
<Circle name="c1" n="23" color="2" large="true" fixed="(1+floor(4*windoww/d(P21,o)))*d(P21,o)" midpoint="o" acute="true">Cercle de centre P13 de rayon (1+floor(4*windoww/d(P21,P13)))*d(P21,P13)</Circle>
<Line name="l2" n="56" color="2" hidden="super" large="true" from="o" to="P21">Droite passant par P13 et P21</Line>
<Polygon name="poly5" n="144" color="2" type="thin" hidden="super" showname="true" background="true" large="true" point1="C" point2="B" point3="S">Polygone P41, P29, P45</Polygon>
<Polygon name="poly6" n="145" color="1" type="thin" hidden="super" showname="true" background="true" large="true" point1="B" point2="A" point3="S">Polygone P29, P37, P45</Polygon>
<Polygon name="poly7" n="151" color="2" type="thin" hidden="super" showname="true" background="true" large="true" point1="B" point2="A" point3="S">Polygone P29, P37, P45</Polygon>
<Polygon name="poly8" n="152" color="1" type="thin" hidden="super" showname="true" background="true" large="true" point1="A" point2="C" point3="S">Polygone P37, P41, P45</Polygon>
<Polygon name="poly9" n="158" color="2" type="thin" hidden="super" showname="true" background="true" large="true" point1="A" point2="C" point3="S">Polygone P37, P41, P45</Polygon>
<Polygon name="poly10" n="159" color="1" type="thin" hidden="super" showname="true" background="true" large="true" point1="C" point2="B" point3="S">Polygone P41, P29, P45</Polygon>
<Polygon name="poly11" n="165" color="2" type="thin" hidden="super" showname="true" background="true" large="true" point1="S" point2="B" point3="A">Polygone P45, P29, P37</Polygon>
<Polygon name="poly12" n="166" color="1" type="thin" hidden="super" showname="true" background="true" large="true" point1="B" point2="C" point3="A">Polygone P29, P41, P37</Polygon>
<Polygon name="poly13" n="172" color="2" type="thin" hidden="super" showname="true" background="true" large="true" point1="A" point2="B" point3="C">Polygone P37, P29, P41</Polygon>
<Polygon name="poly14" n="173" color="1" type="thin" hidden="super" showname="true" background="true" large="true" point1="B" point2="S" point3="C">Polygone P29, P45, P41</Polygon>
<Polygon name="poly15" n="179" color="2" type="thin" hidden="super" showname="true" background="true" large="true" point1="S" point2="A" point3="C">Polygone P45, P37, P41</Polygon>
<Polygon name="poly16" n="180" color="1" type="thin" hidden="super" showname="true" background="true" large="true" point1="A" point2="B" point3="C">Polygone P37, P29, P41</Polygon>
<Polygon name="p" n="247" color="3" type="thin" background="true" ctag0="solid" cexpr0="p&gt;0" ctag1="z" cexpr1="if(p&gt;0,0,4)" point1="A" point2="B" point3="C">Polygone P37, P29, P41</Polygon>
<Intersection name="I1" n="57" color="1" hidden="super" large="true" first="a3" second="c1" shape="circle" which="first">Intersection entre a3 et c1</Intersection>
<Intersection name="I2" n="58" color="3" hidden="super" large="true" first="a4" second="c1" shape="circle" which="first">Intersection entre a4 et c1</Intersection>
<Segment name="s11" n="146" large="true" ctag0="thin" cexpr0="(poly5&lt;0)&amp;&amp;(poly6&lt;0)" ctag1="z" cexpr1="1" from="B" to="S">Segment de P29 à P45</Segment>
<Segment name="s12" n="153" large="true" ctag0="z" cexpr0="1" ctag1="thin" cexpr1="(poly7&lt;0)&amp;&amp;(poly8&lt;0)" from="A" to="S">Segment de P37 à P45</Segment>
<Segment name="s13" n="160" large="true" ctag0="thin" cexpr0="(poly9&lt;0)&amp;&amp;(poly10&lt;0)" ctag1="z" cexpr1="1" from="C" to="S">Segment de P41 à P45</Segment>
<Segment name="s14" n="167" large="true" ctag0="thin" cexpr0="(poly11&lt;0)&amp;&amp;(poly12&lt;0)" from="B" to="A">Segment de P29 à P37</Segment>
<Segment name="s15" n="174" large="true" ctag0="thin" cexpr0="(poly13&lt;0)&amp;&amp;(poly14&lt;0)" from="B" to="C">Segment de P29 à P41</Segment>
<Segment name="s16" n="181" large="true" ctag0="thin" cexpr0="(poly15&lt;0)&amp;&amp;(poly16&lt;0)" from="A" to="C">Segment de P37 à P41</Segment>
<Point name="P22" n="59" color="1" hidden="super" bold="true" x="x(I1)+x(X)-x(o)" actx="-17.408219895364674" y="y(I1)+y(X)-y(o)" acty="25.971796814258322" shape="circle" fixed="true">Point à &quot;x(C)+x(B)-x(A)&quot;, &quot;y(C)+y(B)-y(A)&quot; </Point>
<Point name="P23" n="60" color="3" hidden="super" bold="true" x="x(I2)+x(Y)-x(o)" actx="5.3129196873032996" y="y(I2)+y(Y)-y(o)" acty="31.59842594949539" shape="circle" fixed="true">Point à &quot;x(C)+x(B)-x(A)&quot;, &quot;y(C)+y(B)-y(A)&quot; </Point>
<PointOn name="M" n="432" color="5" type="thick" showname="true" ctag0="z" cexpr0="1" on="s12" alpha="0.324485420270265" x="0.04814877488067315" y="3.2554199649093336" shape="dcross">Point sur s12</PointOn>
<Line name="l3" n="61" color="1" hidden="super" large="true" from="I1" to="P22">Droite passant par I1 et P22</Line>
<Line name="l4" n="62" color="3" hidden="super" large="true" from="P23" to="I2">Droite passant par P23 et I2</Line>
<Expression name="x" n="437" color="5" showname="true" showvalue="true" ctag0="black" cexpr0="1" x="if((x(M)-x(A))*(y(S)-y(A))~=(y(M)-y(A))*(x(S)-x(A)),x(P41)+15/pixel,invalid)" y="y(P41)-2/pixel" value="if(x(S)~=x(A),(y(M)-y(A))/(y(S)-y(A)),if((x(M)-x(A))*(y(S)-y(A))~=(y(M)-y(A))*(x(S)-x(A)),(x(M)-x(A))/(x(S)-x(A)),invalid))*6" prompt="AM = x" fixed="true">Expression &quot;if(x(S)~=x(A),(y(M)-y(A))/(y(S)-y(A)),if((x(M)-x(A))*(y(S)-y(A))~=(y(M)-y(A))*(x(S)-x(A)),(x(M)-x(A))/(x(S)-x(A)),invalid))*6&quot; à -0.11, -1.02</Expression>
<Text name="Text4" n="438" ctag0="black" cexpr0="1" x="if(!((x(M)-x(A))*(y(S)-y(A))~=(y(M)-y(A))*(x(S)-x(A))),x(P41)+15/pixel,invalid)" y="y(P41)+8/pixel" fixed="true">Les points ne sont pas alignés</Text>
<Parallel name="par7" n="441" hidden="super" point="M" line="s14">Parallèle passant par M à s14</Parallel>
<Parallel name="par8" n="444" hidden="super" point="M" line="s16">Parallèle passant par M à s16</Parallel>
<Intersection name="I3" n="63" color="1" hidden="super" showname="true" large="true" first="l2" second="l3" shape="circle">Intersection entre l2 et l3</Intersection>
<Intersection name="I4" n="64" color="3" hidden="super" showname="true" large="true" first="l2" second="l4" shape="circle">Intersection entre l2 et l4</Intersection>
<Intersection name="I13" n="445" ctag0="z" cexpr0="1" first="s11" second="par7" shape="dcross">Intersection entre s11 et par7</Intersection>
<Intersection name="I14" n="446" ctag0="z" cexpr0="1" first="par8" second="s13" shape="dcross">Intersection entre par8 et s13</Intersection>
<Point name="P24" n="65" color="5" type="thick" hidden="super" showname="true" large="true" x="if(d(o,I3)&gt;d(o,I4),x(I3),x(I4))" actx="-48.36549414615809" y="if(d(o,I3)&gt;d(o,I4),y(I3),y(I4))" acty="38.467361627861024" shape="circle" fixed="true">Point à &quot;if(d(o,I3)&gt;d(o,I4),x(I3),x(I4))&quot;, &quot;if(d(o,I3)&gt;d(o,I4),y(I3),y(I4))&quot;</Point>
<Parallel name="par9" n="449" hidden="super" point="I13" line="s12">Parallèle passant par I13 à s12</Parallel>
<Parallel name="par10" n="452" hidden="super" point="I14" line="s12">Parallèle passant par I14 à s12</Parallel>
<Segment name="s19" n="474" ctag0="z" cexpr0="1" ctag1="thin" cexpr1="angle180(a(S,A,C))&lt;0" from="I14" to="M">Segment de I14 à M</Segment>
<Segment name="s20" n="477" ctag0="z" cexpr0="1" ctag1="thin" cexpr1="angle180(a(S,A,B))&gt;0" from="M" to="I13">Segment de M à I13</Segment>
<Segment name="s23" n="486" ctag0="z" cexpr0="1" ctag1="thin" cexpr1="angle180(a(S,C,B))&lt;0" from="I13" to="I14">Segment de I13 à I14</Segment>
<Intersection name="I15" n="453" first="s14" second="par9" shape="dcross">Intersection entre s14 et par9</Intersection>
<Intersection name="I16" n="454" first="s16" second="par10" shape="dcross">Intersection entre s16 et par10</Intersection>
<Polygon name="q1" n="469" color="1" type="thin" background="true" ctag0="z" cexpr0="if(q1&gt;0,2,3)" point1="I13" point2="I14" point3="I16" point4="I15">Polygone</Polygon>
<Polygon name="q2" n="470" color="2" type="thin" background="true" ctag0="z" cexpr0="if(q2&gt;0,2,3)" point1="I14" point2="M" point3="A" point4="I16">Polygone</Polygon>
<Polygon name="q3" n="471" color="2" type="thin" background="true" ctag0="z" cexpr0="if(q3&gt;0,2,3)" point1="M" point2="I13" point3="I15" point4="A">Polygone</Polygon>
<Segment name="s21" n="480" ctag0="z" cexpr0="1" ctag1="thin" cexpr1="angle180(a(S,A,C))&lt;0" from="I16" to="I14">Segment de I16 à I14</Segment>
<Segment name="s22" n="483" ctag0="z" cexpr0="1" ctag1="thin" cexpr1="angle180(a(S,A,B))&gt;0" from="I13" to="I15">Segment de I13 à I15</Segment>
<Segment name="s24" n="489" type="thin" ctag0="z" cexpr0="1" from="I15" to="I16">Segment de I15 à I16</Segment>
</Objects>
</Construction>
</CaR>
