// Coordinates System :
SetCoords(696.8363986414699,262.4614338666034,33.11572151562398);


// Geometry :
A=Point("A",-7.055959376805541,2.2436828257212893);
P7=Point("P7",-20.287536188045845,-6.569042019234339);
C=Point("C",-1.114382275843816,-3.0435032289647634);
P6=Point("P6",-20.52911328900756,0.07432825721287947);
P5=Point("P5",-1.1123537992095551,1.5539880006033964);
E1=Expression("E1","Th\u00e9or\u00e8me de Feuerbach : le cercle d'Euler est quadritangent au cercle inscrit et aux 3 cercles exinscrits.","","","2","-20.740493252349065","6.717698533660098");
B=Point("B",-7.436245614784079,-3.4199372109372077);
M3=MidPoint("M3",C,B);
L2=Line("L2",B,C);
L3=Line("L3",C,A);
R1=AngleBisector("R1",B,A,C);
M1=MidPoint("M1",B,A);
M2=MidPoint("M2",A,C);
L1=Line("L1",A,B);
R2=AngleBisector("R2",A,C,B);
R3=AngleBisector("R3",A,B,C);
I=OrderedIntersection("I",R2,R1,0);
C5=Circle3pts("C5",M3,M2,M1);
Perp1=Perpendicular("Perp1",R1,A);
Perp2=Perpendicular("Perp2",R3,B);
Perp3=Perpendicular("Perp3",R2,C);
Ib=OrderedIntersection("Ib",Perp1,R3,0);
Ic=OrderedIntersection("Ic",Perp1,R2,0);
Ia=OrderedIntersection("Ia",Perp2,R1,0);
Perp4=Perpendicular("Perp4",L2,I);
rW=ExpressionOn("rW","rW : rayon du cercle d'Euler = ","","","C5",P5,[20,70]);
w=Center("w",C5);
Perp6=Perpendicular("Perp6",L1,Ib);
E9=ExpressionOn("E9","d(w,Ib) = ","","","d(w,Ib)",P7,[20,20]);
E8=ExpressionOn("E8","d(w,Ia) = ","","","d(w,Ia)",P7,[20,-10]);
P1=OrderedIntersection("P1",Perp4,L2,0);
Perp7=Perpendicular("Perp7",L3,Ia);
E7=ExpressionOn("E7","d(w,Ic) = ","","","d(w,Ic)",P7,[20,50]);
E6=ExpressionOn("E6","d(w,I) = ","","","d(I,w)",P7,[20,-40]);
Perp5=Perpendicular("Perp5",L2,Ic);
C1=Circle("C1",I,P1);
P2=OrderedIntersection("P2",Perp5,L2,0);
P4=OrderedIntersection("P4",L3,Perp7,0);
P3=OrderedIntersection("P3",L1,Perp6,0);
rI=ExpressionOn("rI","rI : rayon du cercle de centre I = ","","","C1",P5,[20,-50]);
C4=Circle("C4",Ia,P4);
C3=Circle("C3",Ib,P3);
C2=Circle("C2",Ic,P2);
rC=ExpressionOn("rC","rC : rayon du cercle de centre Ic = ","","","C2",P5,[20,40]);
rB=ExpressionOn("rB","rB : rayon du cercle de centre Ib = ","","","C3",P5,[20,10]);
E2=ExpressionOn("E2","rW-rI = ","","","rW-rI",P6,[20,-40]);
rA=ExpressionOn("rA","rA : rayon du cercle de centre Ia = ","","","C4",P5,[20,-20]);
E3=ExpressionOn("E3","rW+rA = ","","","rW+rA",P6,[20,-10]);
E4=ExpressionOn("E4","rW+rB = ","","","rW+rB",P6,[20,20]);
E5=ExpressionOn("E5","rW+rC = ","","","rW+rC",P6,[20,50]);


// Styles :
STL(A,"c:#cf0928;o:1;s:6;sn:true;f:17");
STL(P7,"c:#0000b2;s:5;f:30;sp:1");
STL(C,"c:#cf0928;o:1;s:6;sn:true;f:17");
STL(P6,"c:#0000b2;s:5;f:30;sp:1");
STL(P5,"c:#883884;s:5;f:30;sp:1");
STL(E1,"c:#ab2439;s:7;f:17;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(B,"c:#cf0928;o:1;s:6;sn:true;f:17;np:3.8179032608763297");
STL(M3,"c:#cf0928;s:4;f:30;sp:2");
STL(L2,"c:#317dff;s:2;f:30;p:0");
STL(L3,"c:#317dff;s:2;f:30;p:0");
STL(R1,"c:#39aa44;s:1;f:30;p:0");
STL(M1,"c:#cf0928;s:4;f:30;sp:2");
STL(M2,"c:#cf0928;s:4;f:30;sp:2");
STL(L1,"c:#317dff;s:2;f:30;p:0");
STL(R2,"c:#007c7c;s:1;f:30;p:0");
STL(R3,"c:#39aa44;s:1;f:30;p:0");
STL(I,"c:#39aa44;s:6;sn:true;f:17;np:1.6332524323665556");
STL(C5,"c:#0000b2;s:2.5;f:30;p:0");
STL(Perp1,"c:#966400;s:1;f:30;p:0");
STL(Perp2,"c:#966400;s:1;f:30;p:0");
STL(Perp3,"c:#966400;s:1;f:30;p:0");
STL(Ib,"c:#966400;s:6;sn:true;f:17");
STL(Ic,"c:#966400;s:6;sn:true;f:17;np:1.7707530244857739");
STL(Ia,"c:#966400;s:6;sn:true;f:17");
STL(Perp4,"c:#780013;h:1;s:1;f:30;p:0");
STL(rW,"c:#4633db;s:7;sn:true;f:15;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(w,"c:#0000b2;s:4;sn:true;f:17;sp:2;np:4.122330070659951");
STL(Perp6,"c:#780013;h:1;s:1;f:30;p:0");
STL(E9,"c:#966400;s:7;f:15;p:8;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(E8,"c:#007c7c;s:7;f:15;p:8;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(P1,"c:#0000b2;h:1;s:6;f:17");
STL(Perp7,"c:#780013;h:1;s:1;f:30;p:0");
STL(E7,"c:#760012;s:7;f:15;p:8;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(E6,"c:#0000b2;s:7;f:15;p:8;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(Perp5,"c:#780013;h:1;s:1;f:30;p:0");
STL(C1,"c:#cc66cc;s:1.5;f:30;p:0");
STL(P2,"c:#0000b2;h:1;s:6;f:17");
STL(P4,"c:#0000b2;h:1;s:6;f:17");
STL(P3,"c:#0000b2;h:1;s:6;f:17");
STL(rI,"c:#39aa44;s:7;sn:true;f:15;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(C4,"c:#cc66cc;s:1.5;f:30;p:0");
STL(C3,"c:#cc66cc;s:1.5;f:30;p:0");
STL(C2,"c:#cc66cc;s:1.5;f:30;p:0");
STL(rC,"c:#cc66cc;s:7;sn:true;f:15;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(rB,"c:#cc66cc;s:7;sn:true;f:15;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(E2,"c:#0000b2;s:7;f:15;p:8;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(rA,"c:#cc66cc;s:7;sn:true;f:15;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(E3,"c:#007c7c;s:7;f:15;p:8;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(E4,"c:#966400;s:7;f:15;p:8;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(E5,"c:#760012;s:7;f:15;p:8;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
SetCoordsStyle("isAxis:false;isGrid:true;isOx:true;isOy:true;isLockOx:false;isLockOy:false;centerZoom:false;color:#111111;fontSize:18;axisWidth:1;gridWidth:0.1");
SetGeneralStyle("background-color:#FAFAFA");