// Coordinates System :
SetCoords(-150,8,63.35844820900318);


// Geometry :
E11=Expression("E11","Le cas a+b+c=0 n'est pas trait\u00e9 ici, mais il est toujours plus facile.","","","8","2.840978671166731","-9.18583103677243");
E8=Expression("E8","Agir sur tous les param\u00e8tres, dont M. On observe que g(M)=k.","","","3","2.6831465227685793","-3.030377249244513");
E5=Expression("E5","Pour g(M)=aMA^2+bMB^2+cMC^2, ligne de niveau g(M) = k","","","4","2.6831465227685793","-0.3472307264759338");
P1=Point("P1",11.936437548457443,-2.496783372910733);
E9=Expression("E9","G = Bar {(A,a),(B,b),(C,c)}","","","4","2.6831465227685793","-0.9785593200685407");
A=Point("A",7.630104279167777,-3.751397434241009);
B=Point("B",5.067285513528444,-7.160780915335816);
C=Point("C",10.33091232501589,-8.167302410292766);
k=ExpressionOn("k","","-5","10","6.979437983954369",P1,[30,60]);
L1=Line("L1",A,B);
c=ExpressionOn("c","","-5","5","0.3578649866286412",P1,[30,10]);
L2=Line("L2",B,C);
L3=Line("L3",C,A);
b=ExpressionOn("b","","-5","5","-0.07078667855231924",P1,[30,-40]);
a=ExpressionOn("a","","-5","5","0.4828649866286412",P1,[30,-90]);
G=Point("G","(a*A+b*B+c*C)/(a+b+c)","0");
gG=Expression("gG","g(G) = ","","","a*d(A,G)^2+b*d(G,B)^2+c*d(G,C)^2","2.6831465227685793","-1.6098879136611477");
r=Expression("r","rayon du cercle : r = ","","","sqrt((k-gG)/(a+b+c))","5.208460897139007","-1.6098879136611477");
C1=Circle1("C1",G,"r");
M=PointOn("M",C1,3.073829238952897);
E7=Expression("E7","g(M) calcul\u00e9 = ","","","a*d(M,A)^2+b*d(M,B)^2+c*d(M,C)^2","2.840978671166731","-3.66170584283712");
E10=Expression("E10","M est un point du cercle solution : d(M,G) = ","","","d(M,G)","2.683146522768579","-2.399048655651906");


// Styles :
STL(E11,"c:#501758;s:5;f:16;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6NjtmOjE4");
STL(E8,"c:#006633;s:5;f:16;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6NjtmOjE4");
STL(E5,"c:#0000b2;s:5;f:18;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6NjtmOjE4");
STL(P1,"c:#966400;s:5;f:18;sp:1");
STL(E9,"c:#007c7c;s:5;f:16;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6NjtmOjE4");
STL(A,"c:#0000b2;o:1;s:6;sn:true;f:18");
STL(B,"c:#0000b2;o:1;s:6;sn:true;f:18;np:2.0373192184745106");
STL(C,"c:#0000b2;o:1;s:6;sn:true;f:18;np:0.9330118475142452");
STL(k,"c:#747c0c;s:5;sn:true;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6NjtmOjE4");
STL(L1,"c:#2c69cf;s:1;f:30;p:0");
STL(c,"c:#7a0256;s:5;sn:true;f:16;p:4;cL:160;cPT:YzojNzgwMDEzO3M6NjtmOjE4");
STL(L2,"c:#2c69cf;s:1;f:30;p:0");
STL(L3,"c:#2c69cf;s:1;f:30;p:0");
STL(b,"c:#27471a;s:5;sn:true;f:16;p:4;cL:180;cPT:YzojNzgwMDEzO3M6NjtmOjE4");
STL(a,"c:#687135;s:5;sn:true;f:16;p:4;cL:160;cPT:YzojNzgwMDEzO3M6NjtmOjE4");
STL(G,"c:#007c7c;s:6;sn:true;f:18;sp:2");
STL(gG,"c:#4633db;s:7;sn:true;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjoxOA==");
STL(r,"c:#ea15e4;s:7;sn:true;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjoxOA==");
STL(C1,"c:#cc66cc;s:2.5;f:30;p:0");
STL(M,"c:#cf0928;o:1;s:6;sn:true;f:18");
STL(E7,"c:#cf0928;s:5;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO3M6NjtmOjE4");
STL(E10,"c:#2815c0;s:5;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6NjtmOjE4");
SetCoordsStyle("isAxis:false;isGrid:true;isOx:true;isOy:true;isLockOx:false;isLockOy:false;centerZoom:true;color:#111111;fontSize:18;axisWidth:1;gridWidth:0.1");
SetGeneralStyle("background-color:#FFFFFF");