// Macros :
$macros={};
$macros["Planmediateur"]={
	name:"Plan m\u00e9diateur",
	parameters:["point","point","quadric"],
	exec:
	function (P2,P3,Quad){
S1016=Segment("S1016",P3,P2);
E1=Expression("E1","","","","P2.coords3D()","2.624242532770098","-1.5606567708813814");
E11=Expression("E11","","","","P3.coords3D()","2.624242532770098","-1.9261501598465762");
b=Point("b","P2.getOrigin()","0");
E2=Expression("E2","","","","0.25*(E11-E1)","2.47804517718402","-2.291643548811771");
a=Point("a","P3+b-P2","0");
E4=Expression("E4","","","","[E2[1]+(E1[0]+E11[0])/2,-E2[0]+(E1[1]+E11[1])/2,(E1[2]+E11[2])/2]","2.4049464993909813","-2.5840382599839264");
P16=DefinitionPoint("P16",Quad,0);
p=Point("p","P16+b-P2","0");
E12=Expression("E12","","","","var _p=p.coords3D();var _v=unitVector(a.coords3D());var _cte=-_p[0]*_v[0]-_p[1]*_v[1]-_p[2]*_v[2];var _k=(-_cte)/(_v[0]*_v[0]+_v[1]*_v[1]+_v[2]*_v[2]);var _o=[_k*_v[0],_k*_v[1],_k*_v[2]];var _m=[_v[0]*_v[0]*(_p[0])+(_v[0]*_v[1]-_v[2])*(_p[1])+(_v[0]*_v[2]+_v[1])*(_p[2]),(_v[0]*_v[1]+_v[2])*(_p[0])+_v[1]*_v[1]*(_p[1])+(_v[1]*_v[2]-_v[0])*(_p[2]),(_v[0]*_v[2]-_v[1])*(_p[0])+(_v[1]*_v[2]+_v[0])*(_p[1])+_v[2]*_v[2]*(_p[2])];[_o,_m]","0.05045734447340757","-0.282561129051083");
o=Point("o","point3D(b,E12[0])","0");
q=Point("q","point3D(b,E12[1])","0");
O=Point("O","o+P2-b","0");
Q=DefinitionPoint("Q",Quad,4);
S=DefinitionPoint("S",Quad,2);
R=DefinitionPoint("R",Quad,3);
M1=MidPoint("M1",O,P16);
C1=Circle("C1",O,P16);
S12=Segment("S12",O,P16);
Perp1=Perpendicular("Perp1",S12,O);
Perp2=Perpendicular("Perp2",S12,M1);
L3=Line("L3",S,O);
Par2=Parallel("Par2",L3,M1);
P31=OrderedIntersection("P31",Perp2,C1,0);
P21=OrderedIntersection("P21",Perp1,C1,0);
L2=Line("L2",P21,S);
Par1=Parallel("Par1",L2,P31);
P41=DefinitionPoint("P41",Quad,1);
STL(S1016,"c:#0000b2;s:2;f:24");
STL(E1,"c:#193323;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(E11,"c:#193323;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(E2,"c:#43513d;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(E4,"c:#6a484c;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA==");
STL(P16,"c:#0000b2;s:6;f:30");
STL(O,"c:#0000b2;s:6;sn:true;f:30");
return [S1016,E1,E11,E2,E4,P16,O];
}};

// Coordinates System :
SetCoords(337,17.5,136.80138002376128);


// Geometry :
P1=Point("P1",0.9502828113095062,-1.8238120109363216);
X=Point("X","point3D(P1,[1,0,0])","0");
Y=Point("Y","point3D(P1,[0,1,0])","0");
Z=Point("Z","point3D(P1,[0,0,1])","0");
P11=Point("P11","point3D(P1,[1,1,-1])","0");
P12=Point("P12","point3D(P1,[1,-1,-1])","0");
P13=Point("P13","point3D(P1,[-1,1,-1])","0");
P14=Point("P14","point3D(P1,[-1,-1,-1])","0");
P15=Point("P15","point3D(P1,[-2,-2,-2])","0");
S11=Segment("S11",P1,X);
S21=Segment("S21",P1,Y);
S31=Segment("S31",P1,Z);
Symc1=Symmetry("Symc1",P1,P11);
Symc2=Symmetry("Symc2",P1,P12);
Symc3=Symmetry("Symc3",P1,P13);
Symc4=Symmetry("Symc4",P1,P14);
S106=Segment("S106",P14,P13);
angl26=Angle("angl26",P13,P14,P12);
S107=Segment("S107",P12,P11);
angl17=Angle("angl17",P14,P12,P11);
S1010=Segment("S1010",P13,P11);
angl210=Angle("angl210",P11,P13,P14);
S1011=Segment("S1011",P14,P12);
angl111=Angle("angl111",P13,P14,P12);
Poly1=Polygon("Poly1","_P12,_P14,_P13,_P11");
S1=Segment("S1",P1,P15);
S10=Segment("S10",Symc4,P11);
angl1=Angle("angl1",Symc3,Symc4,P11);
angl2=Angle("angl2",P11,Symc4,Symc2);
S101=Segment("S101",Symc2,P13);
angl11=Angle("angl11",Symc4,Symc2,P13);
angl21=Angle("angl21",P13,Symc2,Symc1);
S102=Segment("S102",Symc1,P14);
angl12=Angle("angl12",Symc2,Symc1,P14);
angl22=Angle("angl22",P14,Symc1,Symc3);
S103=Segment("S103",Symc3,P12);
angl13=Angle("angl13",Symc1,Symc3,P12);
angl23=Angle("angl23",P12,Symc3,Symc4);
S104=Segment("S104",Symc3,Symc4);
angl14=Angle("angl14",P12,Symc3,Symc4);
angl24=Angle("angl24",Symc4,Symc3,Symc1);
S105=Segment("S105",Symc1,Symc2);
angl15=Angle("angl15",Symc3,Symc1,Symc2);
angl25=Angle("angl25",Symc2,Symc1,P14);
angl16=Angle("angl16",Symc1,P14,P13);
angl27=Angle("angl27",P11,P12,Symc3);
S108=Segment("S108",Symc1,Symc3);
angl18=Angle("angl18",P14,Symc1,Symc3);
angl28=Angle("angl28",Symc3,Symc1,Symc2);
S109=Segment("S109",Symc2,Symc4);
angl19=Angle("angl19",Symc1,Symc2,Symc4);
angl29=Angle("angl29",Symc4,Symc2,P13);
angl110=Angle("angl110",Symc2,P13,P11);
angl211=Angle("angl211",P12,P14,Symc1);
Poly2=Polygon("Poly2","_P12,_Symc3,_Symc1,_P14");
Poly3=Polygon("Poly3","_P14,_Symc1,_Symc2,_P13");
P4=PointOn("P4",Poly1,[0.7010054205599755,0.16449997373933656]);
P5=PointOn("P5",S1,0);
P7=PointOn("P7",S1,0.6693904291922439);
E3=Expression("E3","","","","S10.setDash((angl1>\u03C0)&&(angl2>\u03C0));\"Dash code\"","-1.2177555178541382","-0.6194631643369151");
E31=Expression("E31","","","","S101.setDash((angl11>\u03C0)&&(angl21>\u03C0));\"Dash code\"","-1.2177555178541382","-0.6194631643369151");
E32=Expression("E32","","","","S102.setDash((angl12>\u03C0)&&(angl22>\u03C0));\"Dash code\"","-1.2177555178541382","-0.6194631643369151");
E33=Expression("E33","","","","S103.setDash((angl13>\u03C0)&&(angl23>\u03C0));\"Dash code\"","-1.2177555178541382","-0.6194631643369151");
E34=Expression("E34","","","","S104.setDash((angl14>\u03C0)&&(angl24>\u03C0));\"Dash code\"","-1.2177555178541382","-0.6194631643369151");
E35=Expression("E35","","","","S105.setDash((angl15>\u03C0)&&(angl25>\u03C0));\"Dash code\"","-1.2177555178541382","-0.6194631643369151");
E36=Expression("E36","","","","S106.setDash((angl16>\u03C0)&&(angl26>\u03C0));\"Dash code\"","-1.2177555178541382","-0.6194631643369151");
E37=Expression("E37","","","","S107.setDash((angl17>\u03C0)&&(angl27>\u03C0));\"Dash code\"","-1.2177555178541382","-0.6194631643369151");
E38=Expression("E38","","","","S108.setDash((angl18>\u03C0)&&(angl28>\u03C0));\"Dash code\"","-1.2177555178541382","-0.6194631643369151");
E39=Expression("E39","","","","S109.setDash((angl19>\u03C0)&&(angl29>\u03C0));\"Dash code\"","-1.2177555178541382","-0.6194631643369151");
E310=Expression("E310","","","","S1010.setDash((angl110>\u03C0)&&(angl210>\u03C0));\"Dash code\"","-1.2177555178541382","-0.6194631643369151");
E311=Expression("E311","","","","S1011.setDash((angl111>\u03C0)&&(angl211>\u03C0));\"Dash code\"","-1.2177555178541382","-0.6194631643369151");
P2=PointOn("P2",Poly3,[0.16246362800602918,0.4637963718001257]);
P3=PointOn("P3",Poly2,[0.30115895315468544,0.36783059137828483]);
S1012=Segment("S1012",P7,P4);
angl112=Angle("angl112",P2,P7,P4);
angl212=Angle("angl212",P4,P7,P3);
S1013=Segment("S1013",P3,P4);
angl113=Angle("angl113",P7,P3,P4);
angl213=Angle("angl213",P4,P3,P2);
S1014=Segment("S1014",P2,P4);
angl114=Angle("angl114",P3,P2,P4);
angl214=Angle("angl214",P4,P2,P7);
S1015=Segment("S1015",P7,P2);
angl115=Angle("angl115",P3,P7,P2);
angl215=Angle("angl215",P2,P7,P4);
S1016=Segment("S1016",P3,P2);
angl116=Angle("angl116",P4,P3,P2);
angl216=Angle("angl216",P2,P3,P7);
S1017=Segment("S1017",P7,P3);
angl117=Angle("angl117",P4,P7,P3);
angl217=Angle("angl217",P3,P7,P2);
E1=Expression("E1","","","","P2.coords3D()","2.7265806816803524","-1.6264455808951164");
E11=Expression("E11","","","","P3.coords3D()","2.7265806816803524","-1.9919389698603112");
b=Point("b","P2.getOrigin()","0");
E312=Expression("E312","","","","S1012.setDash((angl112>\u03C0)&&(angl212>\u03C0));\"Dash code\"","-1.3689205035223702","-0.6164226009059528");
E313=Expression("E313","","","","S1013.setDash((angl113>\u03C0)&&(angl213>\u03C0));\"Dash code\"","-1.3689205035223702","-0.6164226009059528");
E314=Expression("E314","","","","S1014.setDash((angl114>\u03C0)&&(angl214>\u03C0));\"Dash code\"","-1.3689205035223702","-0.6164226009059528");
E315=Expression("E315","","","","S1015.setDash((angl115>\u03C0)&&(angl215>\u03C0));\"Dash code\"","-1.3689205035223702","-0.6164226009059528");
E316=Expression("E316","","","","S1016.setDash((angl116>\u03C0)&&(angl216>\u03C0));\"Dash code\"","-1.3689205035223702","-0.6164226009059528");
E317=Expression("E317","","","","S1017.setDash((angl117>\u03C0)&&(angl217>\u03C0));\"Dash code\"","-1.3689205035223702","-0.6164226009059528");
E2=Expression("E2","","","","0.25*(E11-E1)","2.5803833260942746","-2.357432358825506");
a=Point("a","P3+b-P2","0");
E4=Expression("E4","","","","[E2[1]+(E1[0]+E11[0])/2,-E2[0]+(E1[1]+E11[1])/2,(E1[2]+E11[2])/2]","2.5072846483012357","-2.6498270699976616");
P16=Point("P16","point3D(P1,E4)","0");
p=Point("p","P16+b-P2","0");
E12=Expression("E12","","","","var _p=p.coords3D();var _v=unitVector(a.coords3D());var _cte=-_p[0]*_v[0]-_p[1]*_v[1]-_p[2]*_v[2];var _k=(-_cte)/(_v[0]*_v[0]+_v[1]*_v[1]+_v[2]*_v[2]);var _o=[_k*_v[0],_k*_v[1],_k*_v[2]];var _m=[_v[0]*_v[0]*(_p[0])+(_v[0]*_v[1]-_v[2])*(_p[1])+(_v[0]*_v[2]+_v[1])*(_p[2]),(_v[0]*_v[1]+_v[2])*(_p[0])+_v[1]*_v[1]*(_p[1])+(_v[1]*_v[2]-_v[0])*(_p[2]),(_v[0]*_v[2]-_v[1])*(_p[0])+(_v[1]*_v[2]+_v[0])*(_p[1])+_v[2]*_v[2]*(_p[2])];[_o,_m]","0.15279549338366208","-0.34834993906481804");
o=Point("o","point3D(b,E12[0])","0");
q=Point("q","point3D(b,E12[1])","0");
O=Point("O","o+P2-b","0");
Q=Point("Q","q+P2-b","0");
S=Symmetry("S",O,Q);
R=Symmetry("R",O,P16);
M1=MidPoint("M1",O,P16);
C1=Circle("C1",O,P16);
S12=Segment("S12",O,P16);
Perp1=Perpendicular("Perp1",S12,O);
Perp2=Perpendicular("Perp2",S12,M1);
L3=Line("L3",S,O);
Par2=Parallel("Par2",L3,M1);
P31=OrderedIntersection("P31",Perp2,C1,0);
P21=OrderedIntersection("P21",Perp1,C1,0);
L2=Line("L2",P21,S);
Par1=Parallel("Par1",L2,P31);
P41=OrderedIntersection("P41",Par2,Par1,0);
Quad=Quadric("Quad",P16,P41,S,R,Q);


// Styles :
STL(P1,"c:#0000b2;s:2;f:15;fl:true");
STL(X,"c:#0000b2;o:1;s:2;sn:true;f:15");
STL(Y,"c:#0000b2;o:1;s:2;sn:true;f:15");
STL(Z,"c:#0000b2;o:1;s:2;sn:true;f:15");
STL(P11,"c:#0000b2;h:1;s:6;f:30");
STL(P12,"c:#0000b2;h:1;s:6;f:30");
STL(P13,"c:#0000b2;h:1;s:6;f:30");
STL(P14,"c:#0000b2;h:1;s:6;f:30");
STL(P15,"c:#0000b2;h:1;s:6;f:30");
STL(S11,"c:#966400;s:1;f:24;dh:true");
STL(S21,"c:#966400;s:1;f:24;dh:true");
STL(S31,"c:#966400;s:1;f:24;dh:true");
STL(Symc1,"c:#0000b2;h:1;s:6;f:30");
STL(Symc2,"c:#0000b2;h:1;s:6;f:30");
STL(Symc3,"c:#0000b2;h:1;s:6;f:30");
STL(Symc4,"c:#0000b2;h:1;s:6;f:30");
STL(S106,"c:#006633;s:1;f:24;dh:true");
STL(angl26,"c:#006633;h:2;s:4;f:24;p:1");
STL(S107,"c:#006633;s:1;f:24");
STL(angl17,"c:#006633;h:2;s:4;f:24;p:1");
STL(S1010,"c:#006633;s:1;f:24");
STL(angl210,"c:#006633;h:2;s:4;f:24;p:1");
STL(S1011,"c:#006633;s:1;f:24;dh:true");
STL(angl111,"c:#006633;h:2;s:4;f:24;p:1");
STL(Poly1,"c:#006633;h:1;o:0.2;s:1;f:30");
STL(S1,"c:#966400;s:1;f:24;dh:true");
STL(S10,"c:#006633;s:1;f:24");
STL(angl1,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl2,"c:#006633;h:2;s:4;f:24;p:1");
STL(S101,"c:#006633;s:1;f:24");
STL(angl11,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl21,"c:#006633;h:2;s:4;f:24;p:1");
STL(S102,"c:#006633;s:1;f:24;dh:true");
STL(angl12,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl22,"c:#006633;h:2;s:4;f:24;p:1");
STL(S103,"c:#006633;s:1;f:24");
STL(angl13,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl23,"c:#006633;h:2;s:4;f:24;p:1");
STL(S104,"c:#006633;s:1;f:24");
STL(angl14,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl24,"c:#006633;h:2;s:4;f:24;p:1");
STL(S105,"c:#006633;s:1;f:24");
STL(angl15,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl25,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl16,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl27,"c:#006633;h:2;s:4;f:24;p:1");
STL(S108,"c:#006633;s:1;f:24");
STL(angl18,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl28,"c:#006633;h:2;s:4;f:24;p:1");
STL(S109,"c:#006633;s:1;f:24");
STL(angl19,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl29,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl110,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl211,"c:#006633;h:2;s:4;f:24;p:1");
STL(Poly2,"c:#006633;h:1;o:0.2;s:1;f:30");
STL(Poly3,"c:#006633;h:1;o:0.2;s:1;f:30");
STL(P4,"c:#0000b2;s:6;f:30");
STL(P5,"c:#0000b2;h:1;s:6;f:30");
STL(P7,"c:#0000b2;s:6;f:30");
STL(E3,"c:#780013;h:2;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MzA=");
STL(E31,"c:#780013;h:2;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MzA=");
STL(E32,"c:#780013;h:2;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MzA=");
STL(E33,"c:#780013;h:2;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MzA=");
STL(E34,"c:#780013;h:2;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MzA=");
STL(E35,"c:#780013;h:2;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MzA=");
STL(E36,"c:#780013;h:2;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MzA=");
STL(E37,"c:#780013;h:2;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MzA=");
STL(E38,"c:#780013;h:2;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MzA=");
STL(E39,"c:#780013;h:2;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MzA=");
STL(E310,"c:#780013;h:2;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MzA=");
STL(E311,"c:#780013;h:2;s:7;f:24;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjEwO2Y6MzA=");
STL(P2,"c:#0000b2;s:6;f:30");
STL(P3,"c:#0000b2;s:6;f:30");
STL(S1012,"c:#0000b2;s:4;f:24");
STL(angl112,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl212,"c:#006633;h:2;s:4;f:24;p:1");
STL(S1013,"c:#0000b2;s:4.5;f:24");
STL(angl113,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl213,"c:#006633;h:2;s:4;f:24;p:1");
STL(S1014,"c:#0000b2;s:3;f:24");
STL(angl114,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl214,"c:#006633;h:2;s:4;f:24;p:1");
STL(S1015,"c:#0000b2;s:2.5;f:24");
STL(angl115,"c:#006633;h:2;s:4;f:24;p:1");
STL(angl215,"c:#006633;h:2;s:4;f:24;p:1");
STL(S1016,"c:#0000b2;s:2;f:24");
STL(angl116,"c:#006633;h:2;s:4;f:24;p:1");
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STL(o,"c:#0000b2;h:2;s:6;f:30");
STL(q,"c:#0000b2;h:2;s:6;f:30");
STL(O,"c:#0000b2;h:1;s:6;sn:true;f:30");
STL(Q,"c:#0000b2;h:2;s:6;f:30");
STL(S,"c:#0000b2;h:2;s:6;f:30");
STL(R,"c:#0000b2;h:2;s:6;f:30");
STL(M1,"c:#0000b2;h:2;s:6;f:30");
STL(C1,"c:#cc66cc;h:2;s:1;f:30;p:0");
STL(S12,"c:#006633;h:2;s:1;f:24");
STL(Perp1,"c:#780013;h:2;s:1;f:30;p:0");
STL(Perp2,"c:#780013;h:2;s:1;f:30;p:0");
STL(L3,"c:#780013;h:2;s:1;f:30;p:0");
STL(Par2,"c:#780013;h:2;s:1;f:30;p:0");
STL(P31,"c:#0000b2;h:2;s:6;f:30");
STL(P21,"c:#0000b2;h:2;s:6;f:30");
STL(L2,"c:#780013;h:2;s:1;f:30;p:0");
STL(Par1,"c:#780013;h:2;s:1;f:30;p:0");
STL(P41,"c:#0000b2;h:2;s:6;f:30");
STL(Quad,"c:#b40000;o:0.36;s:3;f:30;p:1000");
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