// Macros :
$macros={};
$macros["TAff1P"]={
	name:"TAff 1P",
	parameters:["point","point","point","point","point","point","point"],
	exec:
	function (A,B,C,A1,B1,C1,M){
L1=Line("L1",B,C);
L2=Line("L2",A,M);
M11=MidPoint("M1",C,B1);
L3=Line("L3",B1,C1);
M21=MidPoint("M21",M,A1);
P1=OrderedIntersection("P1",L1,L2,0);
Symc1=Symmetry("Symc1",M11,B);
Symc22=Symmetry("Symc22",M21,A);
S1=Segment("S1",Symc1,C1);
M2=MidPoint("M2",P1,B1);
M12=MidPoint("M12",P1,A1);
Symc2=Symmetry("Symc2",M2,B);
Symc12=Symmetry("Symc12",M12,A);
Par1=Parallel("Par1",S1,Symc2);
P2=OrderedIntersection("P2",L3,Par1,0);
L31=Line("L31",A1,P2);
S11=Segment("S11",Symc12,P2);
Par11=Parallel("Par11",S11,Symc22);
M1=OrderedIntersection("M'",L31,Par11,0);
return [M1];
}};

// Coordinates System :
SetCoords(394,21,150,true);


// Geometry :
E3=Expression("E3","Un cerceau est pos\u00e9 contre un mur","","","1","-2.2261078124253526","-0.6598242596725428");
E4=Expression("E4","Alors, la distance du centre du rep\u00e8re au centre","","","2","-2.2261078124253526","-0.8597715375743057");
E5=Expression("E5","du cercle est sqrt(2) fois le rayon du cercle.","","","4","-2.2261078124253526","-1.0597188154760686");
O=Point("O",1.2196502767483601,-2.0461253864580984);
X=Point("X","[1,0,0]","0");
Y=Point("Y","[0,1,0]","0");
Z=Point("Z","[0,0,1]","0");
mB=Point("mB",-0.7597996560266987,-3.2124862649549897);
E2=Expression("E2","Th\u00e9or\u00e8me du cerceau (et formule de Huygens)","","","0","-2.2261078124253526","-0.3265787965029381");
S11=Segment("S11",O,X);
Symc3=Symmetry("Symc3",Y,O);
S21=Segment("S21",O,Y);
S31=Segment("S31",O,Z);
Symc1=Symmetry("Symc1",Z,O);
Symc2=Symmetry("Symc2",X,O);
S3=Segment("S3",O,Symc3);
S2=Segment("S2",O,Symc2);
S1=Segment("S1",O,Symc1);
A=PointOn("A",S1,0.7359320001191871);
C=PointOn("C",S3,0.8944275451834465);
B=PointOn("B",S2,0.7371588362934234);
dBC=Expression("dBC","d(B,C) = ","","","d(B,C)","-2.3594059976931945","-2.0594552049848827");
S5=Segment("S5",O,B);
dCA=Expression("dCA","d(C,A)= ","","","d(C,A)","-2.3594059976931945","-2.3260515755205664");
S6=Segment("S6",O,C);
L32=Line("L32",B,C);
L33=Line("L33",B,C);
L34=Line("L34",B,C);
S7=Segment("S7",A,B);
S8=Segment("S8",B,C);
S9=Segment("S9",C,A);
L3=Line("L3",B,C);
dAB=Expression("dAB","d(A,B) = ","","","d(A,B)","-2.3594059976931945","-1.726209741815278");
S4=Segment("S4",O,A);
C1=Circle1("C1",mB,"dBC");
C2=Circle1("C2",mB,"dAB");
mC=PointOn("mC",C1,6.168183435572687);
M1=MidPoint("M1",mC,B);
M13=MidPoint("M13",mC,B);
L13=Line("L13",mB,mC);
M14=MidPoint("M14",mC,B);
L11=Line("L11",mB,mC);
M11=MidPoint("M11",mC,B);
L12=Line("L12",mB,mC);
C3=Circle1("C3",mC,"dCA");
S12=Segment("S12",mB,mC);
L1=Line("L1",mB,mC);
Symc15=Symmetry("Symc15",M14,mB);
Symc14=Symmetry("Symc14",M13,mB);
Symc13=Symmetry("Symc13",M11,mB);
Symc11=Symmetry("Symc11",M1,mB);
mA=OrderedIntersection("mA",C2,C3,0);
S10=Segment("S10",mA,mB);
S17=Segment("S17",Symc15,C);
R1=AngleBisector("R1",mB,mA,mC);
S13=Segment("S13",mC,mA);
R2=AngleBisector("R2",mA,mC,mB);
S14=Segment("S14",Symc11,C);
S15=Segment("S15",Symc13,C);
S16=Segment("S16",Symc14,C);
mI=OrderedIntersection("mI",R2,R1,0);
Perp1=Perpendicular("Perp1",S12,mI);
Perp2=Perpendicular("Perp2",S13,mI);
Perp3=Perpendicular("Perp3",S10,mI);
L23=Line("L23",mA,mI);
M213=MidPoint("M213",mI,A);
Symc223=Symmetry("Symc223",M213,mA);
P14=OrderedIntersection("P14",L13,L23,0);
P3=OrderedIntersection("P3",Perp2,S13,0);
P2=OrderedIntersection("P2",Perp1,S12,0);
P1=OrderedIntersection("P1",Perp3,S10,0);
M24=MidPoint("M24",P14,B);
M123=MidPoint("M123",P14,A);
L2=Line("L2",mA,P1);
M211=MidPoint("M211",P2,A);
L22=Line("L22",mA,P3);
M212=MidPoint("M212",P3,A);
M21=MidPoint("M21",P1,A);
L21=Line("L21",mA,P2);
Symc25=Symmetry("Symc25",M24,mB);
Symc222=Symmetry("Symc222",M212,mA);
P11=OrderedIntersection("P11",L1,L2,0);
Symc22=Symmetry("Symc22",M21,mA);
Symc123=Symmetry("Symc123",M123,mA);
P12=OrderedIntersection("P12",L11,L21,0);
Symc221=Symmetry("Symc221",M211,mA);
P13=OrderedIntersection("P13",L12,L22,0);
Par14=Parallel("Par14",S17,Symc25);
M2=MidPoint("M2",P11,B);
M12=MidPoint("M12",P11,A);
M22=MidPoint("M22",P12,B);
M121=MidPoint("M121",P12,A);
M23=MidPoint("M23",P13,B);
M122=MidPoint("M122",P13,A);
P24=OrderedIntersection("P24",L34,Par14,0);
Symc122=Symmetry("Symc122",M122,mA);
Symc24=Symmetry("Symc24",M23,mB);
Symc121=Symmetry("Symc121",M121,mA);
Symc12=Symmetry("Symc12",M12,mA);
Symc21=Symmetry("Symc21",M2,mB);
Symc23=Symmetry("Symc23",M22,mB);
Par1=Parallel("Par1",S14,Symc21);
Par12=Parallel("Par12",S15,Symc23);
Par13=Parallel("Par13",S16,Symc24);
L313=Line("L313",A,P24);
S114=Segment("S114",Symc123,P24);
P23=OrderedIntersection("P23",L33,Par13,0);
P22=OrderedIntersection("P22",L32,Par12,0);
Par113=Parallel("Par113",S114,Symc223);
P21=OrderedIntersection("P21",L3,Par1,0);
I=OrderedIntersection("I",L313,Par113,0);
S111=Segment("S111",Symc12,P21);
L312=Line("L312",A,P23);
S112=Segment("S112",Symc121,P22);
L31=Line("L31",A,P21);
S113=Segment("S113",Symc122,P23);
L311=Line("L311",A,P22);
E6=Expression("E6","OI = ","","","d(O,I)","-2.1594587197914317","-3.6590334281989856");
Par111=Parallel("Par111",S112,Symc221);
Par11=Parallel("Par11",S111,Symc22);
Par112=Parallel("Par112",S113,Symc222);
P=OrderedIntersection("P",L311,Par111,0);
Q=OrderedIntersection("Q",L312,Par112,0);
R=OrderedIntersection("R",L31,Par11,0);
E7=Expression("E7","IQ = ","","","d(I,Q)","0.5065049855654062","-3.325787965029381");
r=Expression("r","r = d(I,P) = ","","","d(I,P)","-2.3594059976931945","-2.859244316591934");
E8=Expression("E8","IR = ","","","d(I,R)","0.5065049855654062","-3.6590334281989856");
Symc4=Symmetry("Symc4",I,Q);
C4=Circle3pts3D("C4",P,Q,R);
E1=Expression("E1","r.sqrt(2) = ","","","r*sqrt(2)","-2.2261078124253526","-3.25913887239546");
Center1=Center("Center1",C4);


// Styles :
STL(E3,"c:#007c7c;s:7;f:18;p:-1;cL:200;cPT:YzojMDAwMGIyO3M6MTA7ZjoxOA==");
STL(E4,"c:#007c7c;s:7;f:18;p:-1;cL:200;cPT:YzojMDAwMGIyO3M6MTA7ZjoxOA==");
STL(E5,"c:#007c7c;s:7;f:18;p:-1;cL:200;cPT:YzojMDAwMGIyO3M6MTA7ZjoxOA==");
STL(O,"c:#0000b2;o:0.99;s:5;sn:true;f:18;fl:true");
STL(X,"c:#0000b2;h:1;o:1;s:4;sn:true;f:18");
STL(Y,"c:#0000b2;h:1;o:1;s:4;sn:true;f:18");
STL(Z,"c:#0000b2;h:1;o:1;s:4;sn:true;f:18");
STL(mB,"c:#0000b2;h:1;s:6;sn:true;f:18");
STL(E2,"c:#0000b2;s:7;f:18;p:-1;cL:200;cPT:YzojMDAwMGIyO3M6MTA7ZjoxOA==");
STL(S11,"c:#117dad;h:1;s:1;f:24");
STL(Symc3,"c:#0000b2;h:1;s:6;f:18");
STL(S21,"c:#117dad;h:1;s:1;f:24");
STL(S31,"c:#117dad;h:1;s:1;f:24");
STL(Symc1,"c:#0000b2;h:1;s:6;f:18");
STL(Symc2,"c:#0000b2;h:1;s:6;f:18");
STL(S3,"c:#006633;h:1;s:1;f:24");
STL(S2,"c:#006633;h:1;s:1;f:24");
STL(S1,"c:#006633;h:1;s:1;f:24");
STL(A,"c:#0000b2;o:1;s:5;sn:true;f:18");
STL(C,"c:#0000b2;o:1;s:5;sn:true;f:18");
STL(B,"c:#0000b2;o:1;s:5;sn:true;f:18");
STL(dBC,"c:#966400;s:7;sn:true;f:18;p:7;cL:200;cPT:YzojMDAwMGIyO3M6MTA7ZjoxOA==");
STL(S5,"c:#006633;s:1;f:24");
STL(dCA,"c:#966400;s:7;sn:true;f:18;p:7;cL:200;cPT:YzojMDAwMGIyO3M6MTA7ZjoxOA==");
STL(S6,"c:#006633;s:1;f:24");
STL(L32,"c:#780013;h:2;s:1;f:30;p:0");
STL(L33,"c:#780013;h:2;s:1;f:30;p:0");
STL(L34,"c:#780013;h:2;s:1;f:30;p:0");
STL(S7,"c:#006633;s:1;f:24");
STL(S8,"c:#006633;s:1;f:24");
STL(S9,"c:#006633;s:1;f:24");
STL(L3,"c:#780013;h:2;s:1;f:30;p:0");
STL(dAB,"c:#966400;s:7;sn:true;f:18;p:7;cL:200;cPT:YzojMDAwMGIyO3M6MTA7ZjoxOA==");
STL(S4,"c:#006633;s:1;f:24");
STL(C1,"c:#cc66cc;h:1;s:1;f:30;p:0");
STL(C2,"c:#cc66cc;h:1;s:1;f:30;p:0");
STL(mC,"c:#0000b2;h:1;s:6;sn:true;f:18");
STL(M1,"c:#0000b2;h:2;s:6;f:18");
STL(M13,"c:#0000b2;h:2;s:6;f:18");
STL(L13,"c:#780013;h:2;s:1;f:30;p:0");
STL(M14,"c:#0000b2;h:2;s:6;f:18");
STL(L11,"c:#780013;h:2;s:1;f:30;p:0");
STL(M11,"c:#0000b2;h:2;s:6;f:18");
STL(L12,"c:#780013;h:2;s:1;f:30;p:0");
STL(C3,"c:#cc66cc;h:1;s:1;f:30;p:0");
STL(S12,"c:#006633;h:1;s:1;f:24");
STL(L1,"c:#780013;h:2;s:1;f:30;p:0");
STL(Symc15,"c:#0000b2;h:2;s:6;f:18");
STL(Symc14,"c:#0000b2;h:2;s:6;f:18");
STL(Symc13,"c:#0000b2;h:2;s:6;f:18");
STL(Symc11,"c:#0000b2;h:2;s:6;f:18");
STL(mA,"c:#0000b2;h:1;s:6;sn:true;f:18");
STL(S10,"c:#006633;h:1;s:1;f:24");
STL(S17,"c:#006633;h:2;s:1;f:24");
STL(R1,"c:#993300;h:1;s:1;f:30;p:0");
STL(S13,"c:#006633;h:1;s:1;f:24");
STL(R2,"c:#993300;h:1;s:1;f:30;p:0");
STL(S14,"c:#006633;h:2;s:1;f:24");
STL(S15,"c:#006633;h:2;s:1;f:24");
STL(S16,"c:#006633;h:2;s:1;f:24");
STL(mI,"c:#0000b2;h:1;s:6;sn:true;f:18");
STL(Perp1,"c:#780013;h:1;s:1;f:30;p:0");
STL(Perp2,"c:#780013;h:1;s:1;f:30;p:0");
STL(Perp3,"c:#780013;h:1;s:1;f:30;p:0");
STL(L23,"c:#780013;h:2;s:1;f:30;p:0");
STL(M213,"c:#0000b2;h:2;s:6;f:18");
STL(Symc223,"c:#0000b2;h:2;s:6;f:18");
STL(P14,"c:#0000b2;h:2;s:6;f:18");
STL(P3,"c:#0000b2;h:1;s:6;f:18");
STL(P2,"c:#0000b2;h:1;s:6;f:18");
STL(P1,"c:#0000b2;h:1;s:6;f:18");
STL(M24,"c:#0000b2;h:2;s:6;f:18");
STL(M123,"c:#0000b2;h:2;s:6;f:18");
STL(L2,"c:#780013;h:2;s:1;f:30;p:0");
STL(M211,"c:#0000b2;h:2;s:6;f:18");
STL(L22,"c:#780013;h:2;s:1;f:30;p:0");
STL(M212,"c:#0000b2;h:2;s:6;f:18");
STL(M21,"c:#0000b2;h:2;s:6;f:18");
STL(L21,"c:#780013;h:2;s:1;f:30;p:0");
STL(Symc25,"c:#0000b2;h:2;s:6;f:18");
STL(Symc222,"c:#0000b2;h:2;s:6;f:18");
STL(P11,"c:#0000b2;h:2;s:6;f:18");
STL(Symc22,"c:#0000b2;h:2;s:6;f:18");
STL(Symc123,"c:#0000b2;h:2;s:6;f:18");
STL(P12,"c:#0000b2;h:2;s:6;f:18");
STL(Symc221,"c:#0000b2;h:2;s:6;f:18");
STL(P13,"c:#0000b2;h:2;s:6;f:18");
STL(Par14,"c:#780013;h:2;s:1;f:30;p:0");
STL(M2,"c:#0000b2;h:2;s:6;f:18");
STL(M12,"c:#0000b2;h:2;s:6;f:18");
STL(M22,"c:#0000b2;h:2;s:6;f:18");
STL(M121,"c:#0000b2;h:2;s:6;f:18");
STL(M23,"c:#0000b2;h:2;s:6;f:18");
STL(M122,"c:#0000b2;h:2;s:6;f:18");
STL(P24,"c:#0000b2;h:2;s:6;f:18");
STL(Symc122,"c:#0000b2;h:2;s:6;f:18");
STL(Symc24,"c:#0000b2;h:2;s:6;f:18");
STL(Symc121,"c:#0000b2;h:2;s:6;f:18");
STL(Symc12,"c:#0000b2;h:2;s:6;f:18");
STL(Symc21,"c:#0000b2;h:2;s:6;f:18");
STL(Symc23,"c:#0000b2;h:2;s:6;f:18");
STL(Par1,"c:#780013;h:2;s:1;f:30;p:0");
STL(Par12,"c:#780013;h:2;s:1;f:30;p:0");
STL(Par13,"c:#780013;h:2;s:1;f:30;p:0");
STL(L313,"c:#780013;h:2;s:1;f:30;p:0");
STL(S114,"c:#006633;h:2;s:1;f:24");
STL(P23,"c:#0000b2;h:2;s:6;f:18");
STL(P22,"c:#0000b2;h:2;s:6;f:18");
STL(Par113,"c:#780013;h:2;s:1;f:30;p:0");
STL(P21,"c:#0000b2;h:2;s:6;f:18");
STL(I,"c:#007c00;s:6;sn:true;f:18;sp:2");
STL(S111,"c:#006633;h:2;s:1;f:24");
STL(L312,"c:#780013;h:2;s:1;f:30;p:0");
STL(S112,"c:#006633;h:2;s:1;f:24");
STL(L31,"c:#780013;h:2;s:1;f:30;p:0");
STL(S113,"c:#006633;h:2;s:1;f:24");
STL(L311,"c:#780013;h:2;s:1;f:30;p:0");
STL(E6,"c:#007c00;s:7;f:18;p:13;cL:200;cPT:YzojMDAwMGIyO3M6MTA7ZjoxOA==");
STL(Par111,"c:#780013;h:2;s:1;f:30;p:0");
STL(Par11,"c:#780013;h:2;s:1;f:30;p:0");
STL(Par112,"c:#780013;h:2;s:1;f:30;p:0");
STL(P,"c:#b40000;s:6;sn:true;f:18;sp:1;np:5.442252461865716");
STL(Q,"c:#b40000;s:6;sn:true;f:18;sp:1");
STL(R,"c:#b40000;s:6;sn:true;f:18;sp:1");
STL(E7,"c:#007c7c;s:7;f:18;p:13;cL:200;cPT:YzojMDAwMGIyO3M6MTA7ZjoxOA==");
STL(r,"c:#b40000;s:7;sn:true;f:18;p:13;cL:200;cPT:YzojMDAwMGIyO3M6MTA7ZjoxOA==");
STL(E8,"c:#007c7c;s:7;f:18;p:13;cL:200;cPT:YzojMDAwMGIyO3M6MTA7ZjoxOA==");
STL(Symc4,"c:#0000b2;h:1;s:6;f:18");
STL(C4,"c:#b40000;s:2.5;f:30;p:0");
STL(E1,"c:#007c00;s:7;f:18;p:13;cL:200;cPT:YzojMDAwMGIyO3M6MTA7ZjoxOA==");
STL(Center1,"c:#0000b2;h:1;s:6;f:30");
SetCoordsStyle("3Dmode:true;isAxis:false;isGrid:true;isOx:true;isOy:true;isLockOx:false;isLockOy:false;centerZoom:true;color:#111111;fontSize:18;axisWidth:1;gridWidth:0.1");