// Coordinates System : SetCoords(302,17.719754119659783,81.55856896,true,790,573); // Geometry : O=Point("O",0.3800949476590718,-3.228112621856628); P11=Point("P11","[3,-3,0]","1"); P12=Point("P12","[3,3,0]","1"); P14=Point("P14","[2,-3,0]","1"); P13=Point("P13","[3,-2,0]","1"); Y=Point("Y","[0,1,0]","1"); Z=Point("Z","[0,0,1]","1"); P1=Point("P1",-3.6768104978559855,-1.347162218330592); X=Point("X","[1,0,0]","1"); E5=Expression("E5","","","","","-3.0898040906479385","-1.2540711194982228"); E30=Expression("E30","","","","restrictTheta([-PI/2,PI/2]);\"Restriction\"","3.943055763292466","-0.4695879233138897"); E2=Expression("E2","Montrer le sol","0","1","0","3.285982128149395","-0.39579220542935106"); S11=Segment("S11",O,X); S31=Segment("S31",O,Z); Symc4=Symmetry("Symc4",P13,P11); Symc2=Symmetry("Symc2",O,P11); Symc10=Symmetry("Symc10",O,P14); Symc1=Symmetry("Symc1",O,P12); S21=Segment("S21",O,Y); Symc3=Symmetry("Symc3",P14,P11); Symc9=Symmetry("Symc9",O,P13); Symc8=Symmetry("Symc8",O,Symc4); Symc11=Symmetry("Symc11",O,Symc3); M4=MidPoint("M4",Symc4,P12); Poly2=Polygon("Poly2","_P11,_Symc1,_Symc2,_P12"); M1=MidPoint("M1",Symc3,Symc1); C=PointOn("C",Poly2,[0.39572075473340146,0.39536672714352905]); Hs=PointOn("Hs",Poly2,[0.03034211713836806,0.535057773866621]); M3=MidPoint("M3",M1,Symc3); A=PointOn("A",Poly2,[-0.39120314431851855,0.861698004519325]); Symc13=Symmetry("Symc13",O,M1); M5=MidPoint("M5",P12,M4); Symc6=Symmetry("Symc6",O,M4); M2=MidPoint("M2",Symc1,M1); B=PointOn("B",Poly2,[-0.20248266870023965,0.36642380586344364]); M6=MidPoint("M6",M4,Symc4); CdB=Expression("CdB","","","","B","-0.5149673484413231","-6.035910783596223"); S4=Segment("S4",C,A); CdC=Expression("CdC","","","","C","-3.4576379109631694","-6.403744603911454"); S2=Segment("S2",A,B); Symc14=Symmetry("Symc14",O,M2); Poly8=Polygon("Poly8","_A,_B,_C"); M8=MidPoint("M8",Z,C); Symc7=Symmetry("Symc7",O,M6); S3=Segment("S3",B,C); Symc12=Symmetry("Symc12",O,M3); CdA=Expression("CdA","","","","A","-3.4576379109631694","-6.035910783596223"); Symc5=Symmetry("Symc5",O,M5); M7=MidPoint("M7",Z,Hs); Symc17=Symmetry("Symc17",M8,O); Symc15=Symmetry("Symc15",M7,O); Poly1=Polygon("Poly1","_P11,_Symc1,_Symc5,_P13,_Symc4,_Symc6,_Symc7,_M6,_M4,_Symc8,_Symc9,_M5,_P12,_Symc14,_P14,_Symc3,_Symc13,_Symc12,_M3,_M1,_Symc11,_Symc10,_M2"); v3=Expression("v3","AB vect AC ","","","unitVector(crossProduct(B-C,Symc17-C))","-0.17738922290607564","-4.923858396009958"); Poly6=Polygon("Poly6","_B,_C,_Symc17"); Poly7=Polygon("Poly7","_A,_C,_Symc17"); E1=Expression("E1","","","","Poly2.setHidden(1-E2);Poly1.setHidden(1-E2);Poly1.noMouseInside();if(theta()<0) {Poly2.setRGBColor(151,101,0);Poly2.setLayer(2);Poly2.setOpacity(1)} else {Poly2.setRGBColor(0,124,125);;Poly2.setLayer(0);Poly2.setOpacity(0.2)};\"prog\"","-1.003111874055652","-1.7315958923955996"); Symc16=Symmetry("Symc16",Symc15,Hs); v4=Expression("v4","AB vect AC ","","","unitVector(crossProduct(A-C,Symc17-C))","-0.17738922290607564","-4.923858396009958"); P33=Point("P33","A+v3*2","1"); P34=Point("P34","B+v4*2","1"); E24=Expression("E24","","","","var _a=C,_c=-v3[0]*_a[0]-v3[1]*_a[1]-v3[2]*_a[2],_m=A,_k=(-_c-v3[0]*_m[0]-v3[1]*_m[1]-v3[2]*_m[2])/(v3[0]*v3[0]+v3[1]*v3[1]+v3[2]*v3[2]);[_k*v3[0]+_m[0],_k*v3[1]+_m[1],_k*v3[2]+_m[2]]","-0.17738922290607564","-6.857696145680609"); S1=Segment("S1",Hs,Symc16); E25=Expression("E25","","","","var _a=C,_c=-v4[0]*_a[0]-v4[1]*_a[1]-v4[2]*_a[2],_m=B,_k=(-_c-v4[0]*_m[0]-v4[1]*_m[1]-v4[2]*_m[2])/(v4[0]*v4[0]+v4[1]*v4[1]+v4[2]*v4[2]);[_k*v4[0]+_m[0],_k*v4[1]+_m[1],_k*v4[2]+_m[2]]","-0.17738922290607564","-6.857696145680609"); P2=PointOn("P2",S1,1); P22=Point("P22","E25","1"); L13=Line("L13",A,P33); P21=Point("P21","E24","1"); L14=Line("L14",B,P34); S=PointOn("S",S1,0.9486059751241069); v2=Expression("v2","AB vect AC ","","","unitVector(crossProduct(S-B,C-B))","0.43679207752825133","-3.476417521692127"); M24=Point("M24","(P21+A)/2","1"); CdS=Expression("CdS","","","","S","-0.5149673484413231","-6.403744603911454"); Poly4=Polygon("Poly4","_S,_A,_B"); v=Expression("v","AB vect AC ","","","unitVector(crossProduct(S-C,A-C))","-1.2429823685779688","-3.3783285029413985"); S18=Segment("S18",A,P21); M25=Point("M25","(P22+B)/2","1"); v1=Expression("v1","AB vect AC ","","","unitVector(crossProduct(S-A,B-A))","0.5839256056543436","-3.4273730123167625"); S6=Segment("S6",S,Hs); S7=Segment("S7",S,A); S9=Segment("S9",S,B); Poly5=Polygon("Poly5","_S,_B,_C"); S8=Segment("S8",S,C); Poly3=Polygon("Poly3","_S,_C,_A"); S19=Segment("S19",P22,B); H=OrderedIntersection("H",S19,S18,0); E23=Expression("E23","","","","var _a=B,_c=-v2[0]*_a[0]-v2[1]*_a[1]-v2[2]*_a[2],_m=A,_k=(-_c-v2[0]*_m[0]-v2[1]*_m[1]-v2[2]*_m[2])/(v2[0]*v2[0]+v2[1]*v2[1]+v2[2]*v2[2]);[_k*v2[0]+_m[0],_k*v2[1]+_m[1],_k*v2[2]+_m[2]]","0.43679207752825133","-4.855801176323331"); E22=Expression("E22","","","","var _a=A,_c=-v1[0]*_a[0]-v1[1]*_a[1]-v1[2]*_a[2],_m=C,_k=(-_c-v1[0]*_m[0]-v1[1]*_m[1]-v1[2]*_m[2])/(v1[0]*v1[0]+v1[1]*v1[1]+v1[2]*v1[2]);[_k*v1[0]+_m[0],_k*v1[1]+_m[1],_k*v1[2]+_m[2]]","0.5839256056543436","-4.806756666947965"); E21=Expression("E21","","","","var _a=C,_c=-v[0]*_a[0]-v[1]*_a[1]-v[2]*_a[2],_m=B,_k=(-_c-v[0]*_m[0]-v[1]*_m[1]-v[2]*_m[2])/(v[0]*v[0]+v[1]*v[1]+v[2]*v[2]);[_k*v[0]+_m[0],_k*v[1]+_m[1],_k*v[2]+_m[2]]","-1.2429823685779688","-4.757712157572601"); P31=Point("P31","B+v*2","1"); E3=Expression("E3","Produit scalaire SC.AB = ","","","(CdC[0]-CdS[0])*(CdB[0]-CdA[0])+(CdC[1]-CdS[1])*(CdB[1]-CdA[1])+(CdC[2]-CdS[2])*(CdB[2]-CdA[2])","-3.4576379109631694","-0.7636260257445818"); C53=Circle("C53",M24,P33); E6=Expression("E6","Produit scalaire SB.AC = ","","","(CdB[0]-CdS[0])*(CdC[0]-CdA[0])+(CdB[1]-CdS[1])*(CdC[1]-CdA[1])+(CdB[2]-CdS[2])*(CdC[2]-CdA[2])","-0.39235607500291286","-0.3957922054293512"); P32=Point("P32","A+v2*2","1"); E4=Expression("E4","Produit scalaire SA.BC = ","","","(CdA[0]-CdS[0])*(CdC[0]-CdB[0])+(CdA[1]-CdS[1])*(CdC[1]-CdB[1])+(CdA[2]-CdS[2])*(CdC[2]-CdB[2])","-3.4576379109631694","-0.3957922054293512"); C54=Circle("C54",M25,P34); P3=Point("P3","C+v1*2","1"); P44=OrderedIntersection("P44",L14,C54,1,P34); Ha=Point("Ha","E23","1"); Hc=Point("Hc","E22","1"); L2=Line("L2",C,H); L12=Line("L12",A,P32); L1=Line("L1",B,P31); Hb=Point("Hb","E21","1"); P43=OrderedIntersection("P43",L13,C53,1,P33); L11=Line("L11",C,P3); S15=Segment("S15",A,Ha); M23=Point("M23","(Ha+A)/2","1"); S5=Segment("S5",B,Hb); P5=OrderedIntersection("P5",L2,S2,0); S10=Segment("S10",Hc,C); Symc44=Point("Symc44","2*M24-P43","1"); M21=Point("M21","(Hb+B)/2","1"); M22=Point("M22","(Hc+C)/2","1"); Symc45=Point("Symc45","2*M25-P44","1"); C51=Circle("C51",M22,P3); C52=Circle("C52",M23,P32); C5=Circle("C5",M21,P31); S17=Segment("S17",P44,Symc45); S20=Segment("S20",C,P5); S16=Segment("S16",P43,Symc44); P42=OrderedIntersection("P42",L12,C52,1,P32); P4=OrderedIntersection("P4",L1,C5,1,P31); P41=OrderedIntersection("P41",L11,C51,1,P3); Symc43=Point("Symc43","2*M23-P42","1"); Symc42=Point("Symc42","2*M22-P41","1"); Symc41=Point("Symc41","2*M21-P4","1"); S14=Segment("S14",P42,Symc43); S13=Segment("S13",P41,Symc42); S12=Segment("S12",P4,Symc41); // Styles : STL(O,"c:#0007ff;s:6;f:18;sp:1;np:2.7928216500058864;fl:true"); STL(P11,"c:#0000b2;h:2;s:6;f:18"); STL(P12,"c:#0000b2;h:2;s:6;f:18"); STL(P14,"c:#0000b2;h:2;s:6;f:18"); STL(P13,"c:#0000b2;h:2;s:6;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(P1,"c:#0000b2;h:1;s:6;f:30"); STL(X,"c:#0000b2;h:1;o:1;s:4;sn:true;f:18"); STL(E5,"c:#044267;s:7;f:24;p:2;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E30,"c:#5a2b65;h:1;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MTtzOjEwO2Y6MzA="); STL(E2,"c:#0044ff;s:6;f:14;i:1;p:-1;cL:40;cPT:YzojMDAwMGIyO286MTtzOjUuNTtmOjE4O2k6MQ=="); STL(S11,"c:#117dad;h:1;s:1;f:24"); STL(S31,"c:#117dad;h:1;s:1;f:24"); STL(Symc4,"c:#0000b2;h:2;s:6;f:18"); STL(Symc2,"c:#0000b2;h:2;s:6;f:18"); STL(Symc10,"c:#0000b2;h:2;s:6;f:18"); STL(Symc1,"c:#0000b2;h:2;s:6;f:18"); STL(S21,"c:#117dad;h:1;s:1;f:24"); STL(Symc3,"c:#0000b2;h:2;s:6;f:18"); STL(Symc9,"c:#0000b2;h:2;s:6;f:18"); STL(Symc8,"c:#0000b2;h:2;s:6;f:18"); STL(Symc11,"c:#0000b2;h:2;s:6;f:18"); STL(M4,"c:#0000b2;h:2;s:6;f:18"); STL(Poly2,"c:#007c7d;h:1;o:0.2;s:1;f:30"); STL(M1,"c:#0000b2;h:2;s:6;f:18"); STL(C,"c:#0000b2;o:1;s:4;sn:true;f:18"); STL(Hs,"c:#966400;o:1;s:4;sn:true;f:18;mg:[S19,5],[S20,5],[S18,5],[H,10]"); STL(M3,"c:#0000b2;h:2;s:6;f:18"); STL(A,"c:#0000b2;o:1;s:4;sn:true;f:18"); STL(Symc13,"c:#0000b2;h:2;s:6;f:18"); STL(M5,"c:#0000b2;h:2;s:6;f:18"); STL(Symc6,"c:#0000b2;h:2;s:6;f:18"); STL(M2,"c:#0000b2;h:2;s:6;f:18"); STL(B,"c:#0000b2;o:1;s:4;sn:true;f:18"); STL(M6,"c:#0000b2;h:2;s:6;f:18"); STL(CdB,"c:#966400;s:7;sn:true;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(S4,"c:#006633;s:1;f:24"); STL(CdC,"c:#966400;s:7;sn:true;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(S2,"c:#006633;s:1;f:24"); STL(Symc14,"c:#0000b2;h:2;s:6;f:18"); STL(Poly8,"c:#e2be74;o:0.2;s:1;f:30"); STL(M8,"c:#0000b2;h:1;s:6;f:18"); STL(Symc7,"c:#0000b2;h:2;s:6;f:18"); STL(S3,"c:#006633;s:1;f:24"); STL(Symc12,"c:#0000b2;h:2;s:6;f:18"); STL(CdA,"c:#966400;s:7;sn:true;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(Symc5,"c:#0000b2;h:2;s:6;f:18"); STL(M7,"c:#0000b2;h:1;s:6;f:18"); STL(Symc17,"c:#0000b2;h:1;s:6;f:18"); STL(Symc15,"c:#0000b2;h:1;s:6;f:18"); STL(Poly1,"c:#007c7c;h:1;o:0.2;s:1;f:30;nmi:true"); STL(v3,"c:#780013;h:2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MTg="); STL(Poly6,"c:#006633;h:1;o:0.2;s:1;f:30"); STL(Poly7,"c:#006633;h:1;o:0.2;s:1;f:30"); STL(E1,"c:#780013;h:2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MTg="); STL(Symc16,"c:#0000b2;h:1;s:6;f:18"); STL(v4,"c:#780013;h:2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MTg="); STL(P33,"c:#0000b2;h:2;s:6;f:18"); STL(P34,"c:#0000b2;h:2;s:6;f:18"); STL(E24,"c:#780013;h:2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MTg="); STL(S1,"c:#006633;h:1;s:1;f:24"); STL(E25,"c:#780013;h:2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MTg="); STL(P2,"c:#0000b2;h:1;s:6;f:18"); STL(P22,"c:#0000b2;h:1;s:6;f:18"); STL(L13,"c:#780013;h:2;s:1;f:30;p:0"); STL(P21,"c:#0000b2;h:1;s:6;f:18"); STL(L14,"c:#780013;h:2;s:1;f:30;p:0"); STL(S,"c:#0000b2;o:1;s:4;sn:true;f:18"); STL(v2,"c:#780013;h:2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MTg="); STL(M24,"c:#0000b2;h:2;s:6;f:18"); STL(CdS,"c:#966400;s:7;sn:true;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(Poly4,"c:#006633;h:1;o:0.2;s:1;f:30"); STL(v,"c:#780013;h:2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MTg="); STL(S18,"c:#007c7c;s:1;f:24"); STL(M25,"c:#0000b2;h:2;s:6;f:18"); STL(v1,"c:#780013;h:2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MTg="); STL(S6,"c:#966400;s:1;f:24"); STL(S7,"c:#007c7c;s:1;f:24"); STL(S9,"c:#0000b2;s:1;f:24"); STL(Poly5,"c:#006633;h:1;o:0.2;s:1;f:30"); STL(S8,"c:#0000b2;s:1;f:24"); STL(Poly3,"c:#006633;h:1;o:0.2;s:1;f:30"); STL(S19,"c:#007c7c;s:1;f:24"); STL(H,"c:#b40000;s:4.5;sn:true;f:18;sp:2"); STL(E23,"c:#780013;h:2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MTg="); STL(E22,"c:#780013;h:2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MTg="); STL(E21,"c:#780013;h:2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MTg="); STL(P31,"c:#0000b2;h:2;s:6;f:18"); STL(E3,"c:#0000b2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(C53,"c:#cc66cc;h:2;s:1;f:30;p:0"); STL(E6,"c:#0000b2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(P32,"c:#0000b2;h:2;s:6;f:18"); STL(E4,"c:#0000b2;s:7;f:14;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(C54,"c:#cc66cc;h:2;s:1;f:30;p:0"); STL(P3,"c:#0000b2;h:2;s:6;f:18"); STL(P44,"c:#0000b2;h:2;s:6;f:18"); STL(Ha,"c:#b40000;s:4;sn:true;f:18"); STL(Hc,"c:#2e590e;s:4;sn:true;f:18"); STL(L2,"c:#780013;h:1;s:1;f:30;p:0"); STL(L12,"c:#780013;h:2;s:1;f:30;p:0"); STL(L1,"c:#780013;h:2;s:1;f:30;p:0"); STL(Hb,"c:#ff00d3;s:4;sn:true;f:18"); STL(P43,"c:#0000b2;h:2;s:6;f:18"); STL(L11,"c:#780013;h:2;s:1;f:30;p:0"); STL(S15,"c:#b40000;s:1;f:24"); STL(M23,"c:#0000b2;h:2;s:6;f:18"); STL(S5,"c:#ff0087;s:1;f:24"); STL(P5,"c:#0000b2;h:1;s:6;f:18"); STL(S10,"c:#129118;s:1;f:24"); STL(Symc44,"c:#0000b2;h:2;s:6;f:18"); STL(M21,"c:#0000b2;h:2;s:6;f:18"); STL(M22,"c:#0000b2;h:2;s:6;f:18"); STL(Symc45,"c:#0000b2;h:2;s:6;f:18"); STL(C51,"c:#cc66cc;h:2;s:1;f:30;p:0"); STL(C52,"c:#cc66cc;h:2;s:1;f:30;p:0"); STL(C5,"c:#cc66cc;h:2;s:1;f:30;p:0"); STL(S17,"c:#006633;h:1;s:1;f:24"); STL(S20,"c:#007c7c;s:1;f:24"); STL(S16,"c:#006633;h:1;s:1;f:24"); STL(P42,"c:#0000b2;h:2;s:6;f:18"); STL(P4,"c:#0000b2;h:2;s:6;f:18"); STL(P41,"c:#0000b2;h:2;s:6;f:18"); STL(Symc43,"c:#0000b2;h:2;s:6;f:18"); STL(Symc42,"c:#0000b2;h:2;s:6;f:18"); STL(Symc41,"c:#0000b2;h:2;s:6;f:18"); STL(S14,"c:#006633;h:1;s:1;f:24"); STL(S13,"c:#006633;h:1;s:1;f:24"); STL(S12,"c:#006633;h:1;s:1;f:24"); SetCoordsStyle("3Dmode:true;isAxis:false;isGrid:true;isOx:true;isOy:true;isLockOx:false;isLockOy:false;centerZoom:true;onlyPositive:false;color:#111111;fontSize:18;axisWidth:1;gridWidth:0.1"); SetGeneralStyle("background-color:#F8F8F8;degree:false;dragmoveable:true");