// Coordinates System : SetCoords(251.66353974256148,382.10215379590966,14.366304057821672); // Geometry : bA=Point("bA",-14.652050808905539,-5.437080623894943); bB=Point("bB",-5.066806636947651,-9.882325829296052); I=Point("I",-8.731198697207722,11.625019026001539); E3=Expression("E3","Manipulation : d\u00e9placer I sur l'un des dix points de la configuration ","","","2","-15.42940611937541","16.15601012353227"); E2=Expression("E2","Configuration de Desargues dynamique","","","1","-16.12547937243701","24.508889160271472"); E4=Expression("E4","Selon le navigateur, \u00e0 l'ouverture, d\u00e9placer I pour que les points prennent leurs positions","","","3","-16.821552625498608","-15.863359517301344"); bB1=Point("bB1",-6.507226888789788,-1.428095336632897); bC=Point("bC",1.0608942367266545,-5.7723185869789475); E10=Expression("E10","sym\u00e9trique de 10 droites et 10 points, telle que chaque droite","","","3","-5.684380576513005","12.675643858224268"); E9=Expression("E9","La configuration de Desargues est une '10-3', une configuration","","","2","-5.684380576513005","14.067790364347468"); E13=Expression("E13","peut \u00eatre chaque point du th\u00e9or\u00e8me, de m\u00eame pour les droites. ","","","6","-4.292234070389805","7.803131086793066"); E8=Expression("E8","sont align\u00e9s. Ce sont les points M, N et P sur la droite rouge, en gras. ","","","6","-16.12547937243701","18.24422988271707"); E7=Expression("E7","et des droites roses (AC), (A1, C1) ","","","4","-0.8118678050818031","19.636376388840272"); E6=Expression("E6","des droites bleues (BC), (B1C1), ","","","3","-16.12547937243701","19.636376388840272"); E5=Expression("E5","Alors les points d'intersection des droites marrons (AB) et (A1B1), ","","","2","-16.12547937243701","21.028522894963473"); E1=Expression("E1","Les trois droites (AA1), (BB1), (CC1) - vertes - sont concourantes en I.","","","1","-16.12547937243701","22.420669401086673"); bA1=Point("bA1",-11.04827530967187,4.9479071318874706); E12=Expression("E12","Cette sym\u00e9trie fait que chaque point de la configuration ","","","3","-4.292234070389805","9.195277592916266"); E11=Expression("E11","contient 3 points et chaque point est sur 3 droites. ","","","1","-5.684380576513005","11.283497352101067"); L4=Line("L4",bA,bB); L9=Line("L9",bA,bC); L2=Line("L2",bB,bB1); L5=Line("L5",bA1,bB1); L1=Line("L1",bA1,bA); L6=Line("L6",bB,bC); bI=OrderedIntersection("bI",L2,L1,0); bM=OrderedIntersection("bM",L5,L4,0); S1=Segment("S1",bA,bI); S3=Segment("S3",bI,bC); L3=Line("L3",bI,bC); S4=Segment("S4",bA,bM); S2=Segment("S2",bI,bB); S5=Segment("S5",bA1,bM); bC1=PointOn("bC1",L3,0.6743438851142752); L8=Line("L8",bA1,bC1); L7=Line("L7",bB1,bC1); bN=OrderedIntersection("bN",L7,L6,0); bP=OrderedIntersection("bP",L8,L9,0); N=Point("N","bN*(d(I,bA)==0 ||d(I,bA1)==0 ||d(I,bI)==0)+bP*(d(I,bB)==0)+bC*(d(I,bB1)==0)+bB*(d(I,bC1)==0)+bC1*(d(I,bM)==0)+bA1*(d(I,bN)==0)+bB1*(d(I,bP)==0 ||d(I,bC)==0)","0"); C1=Point("C1","bP*(d(I,bA)==0 ||d(I,bN)==0)+bC1*(d(I,bA1)==0 ||d(I,bB1)==0 ||d(I,bC)==0 ||d(I,bI)==0)+bN*(d(I,bB)==0)+bC*(d(I, bC1)==0)+bN*(d(I,bM)==0 ||d(I,bP)==0)","0"); B1=Point("B1","bM*(d(I,bA)==0 ||d(I,bB)==0)+bB1*(d(I,bA1)==0 ||d(I,bI)==0 ||d(I,bM)==0)+bI*(d(I,bB1)==0)+bN*(d(I,bC)==0 ||d(I,bC1)==0)+bC1*(d(I,bN)==0 ||d(I,bP)==0)","0"); A=Point("A","bI*(d(I,bA)==0 ||d(I,bB)==0)+bA*(d(I,bA1)==0 ||d(I,bC)==0 ||d(I,bI)==0 ||d(I,bM)==0 ||d(I,bP)==0)+bM*(d(I,bB1)==0)+bA1*(d(I,bC1)==0)+bB*(d(I,bN)==0)","0"); B=Point("B","bB*(d(I,bA)==0 ||d(I,bB1)==0 ||d(I,bC)==0 ||d(I,bI)==0)+bM*(d(I,bA1)==0)+bA*(d(I,bB)==0)+bB1*(d(I,bC1)==0 ||d(I,bN)==0)+bA1*(d(I,bM)==0 ||d(I,bP)==0)","0"); A1=Point("A1","bA1*(d(I,bA)==0 ||d(I,bB1)==0 ||d(I,bI)==0)+bI*(d(I,bA1)==0)+bB1*(d(I,bB)==0)+bP*(d(I,bC)==0 ||d(I,bC1)==0)+bB*(d(I,bM)==0)+bC*(d(I,bN)==0 ||d(I,bP)==0)","0"); S8=Segment("S8",bA,bP); S9=Segment("S9",bA1,bP); S6=Segment("S6",bB,bN); P=Point("P","bC1*(d(I,bA)==0 ||d(I,bB)==0)+bC*(d(I,bA1)==0 ||d(I,bM)==0)+bP*(d(I,bB1)==0 ||d(I,bI)==0)+bA1*(d(I,bC)==0)+bA*(d(I,bC1)==0 ||d(I,bN)==0)+bB*(d(I,bP)==0)","0"); S7=Segment("S7",bB1,bN); S10=Segment("S10",bN,bM); M=Point("M","bB1*(d(I,bA)==0)+bB*(d(I,bA1)==0)+bA1*(d(I,bB)==0)+bA*(d(I,bB1)==0)+bM*(d(I,bC)==0 ||d(I,bC1)==0 ||d(I,bI)==0)+bI*(d(I,bM)==0 ||d(I,bN)==0 ||d(I,bP)==0)","0"); C=Point("C","bC*(d(I,bA)==0 ||d(I,bB)==0 ||d(I,bI)==0)+bP*(d(I,bA1)==0 ||d(I,bM)==0)+bN*(d(I,bB1)==0)+bI*(d(I,bC)==0 ||d(I,bC1)==0)+bM*(d(I,bP)==0 ||d(I,bN)==0)","0"); LesCouleurs=Expression("LesCouleurs","","","","if(d(I,bN)==0) {S1.setRGBColor(255,0,0);S1.setSize(3);S2.setRGBColor(127,55,23);S3.setRGBColor(127,55,23);S4.setRGBColor(209,62,190);S5.setRGBColor(22,86,232);S7.setRGBColor(31,159,40);S6.setRGBColor(31,159,40);S8.setRGBColor(209,62,190);S9.setRGBColor(22,86,232);S10.setRGBColor(31,159,40);} else {S1.setSize(1);};if(d(I,bP)==0) {S2.setRGBColor(255,0,0);S2.setSize(3);S1.setRGBColor(127,55,23);S3.setRGBColor(127,55,23);S4.setRGBColor(209,62,190);S5.setRGBColor(22,86,232);S6.setRGBColor(209,62,190);S8.setRGBColor(31,159,40);S7.setRGBColor(22,86,232);S9.setRGBColor(31,159,40);S10.setRGBColor(31,159,40);} else {S2.setSize(1);};if(d(I,bM)==0) {S3.setRGBColor(255,0,0);S3.setSize(3);S1.setRGBColor(127,55,23);S2.setRGBColor(127,55,23);S4.setRGBColor(31,159,40);S7.setRGBColor(22,86,232);S5.setRGBColor(31,159,40);S6.setRGBColor(209,62,190);S8.setRGBColor(209,62,190);S9.setRGBColor(22,86,232);S10.setRGBColor(31,159,40);} else {S3.setSize(1);}; if(d(I,bC1)==0) {S4.setRGBColor(255,0,0);S4.setSize(3);S1.setRGBColor(209,62,190);S2.setRGBColor(22,86,232);S6.setRGBColor(22,86,232);S5.setRGBColor(127,55,23);S3.setRGBColor(31,159,40);S7.setRGBColor(31,159,40);S8.setRGBColor(209,62,190);S9.setRGBColor(31,159,40);S10.setRGBColor(127,55,23);} else {S4.setSize(1);};if(d(I,bC)==0) {S1.setRGBColor(209,62,190);S5.setRGBColor(255,0,0);S5.setSize(3);S2.setRGBColor(22,86,232);S3.setRGBColor(31,159,40);S4.setRGBColor(127,55,23);S6.setRGBColor(31,159,40);S7.setRGBColor(22,86,232);S8.setRGBColor(31,159,40);S9.setRGBColor(209,62,190);S10.setRGBColor(127,55,23);} else {S5.setSize(1);}if(d(I,bA1)==0) {S6.setRGBColor(255,0,0);S6.setSize(3);S1.setRGBColor(31,159,40);S2.setRGBColor(127,55,23);S3.setRGBColor(209,62,190);S4.setRGBColor(127,55,23);S5.setRGBColor(31,159,40);S7.setRGBColor(22,86,232);S8.setRGBColor(209,62,190);S9.setRGBColor(31,159,40);S10.setRGBColor(22,86,232);} else {S6.setSize(1);};if(d(I,bA)==0) {S7.setRGBColor(255,0,0);S7.setSize(3);S1.setRGBColor(31,159,40);S2.setRGBColor(127,55,23);S3.setRGBColor(209,62,190);S4.setRGBColor(31,159,40);S5.setRGBColor(127,55,23);S6.setRGBColor(22,86,232);S8.setRGBColor(31,159,40);S9.setRGBColor(209,62,190);S10.setRGBColor(22,86,232);} else {S7.setSize(1);};if(d(I,bB1)==0) {S8.setRGBColor(255,0,0);S8.setSize(3);S1.setRGBColor(127,55,23);S2.setRGBColor(31,159,40);S3.setRGBColor(22,86,232);S4.setRGBColor(127,55,23);S5.setRGBColor(31,159,40);S6.setRGBColor(22,86,232);S7.setRGBColor(31,159,40);S9.setRGBColor(209,62,190);S10.setRGBColor(209,62,190);} else {S8.setSize(1);};if(d(I,bB)==0) {S9.setRGBColor(255,0,0);S9.setSize(3);S1.setRGBColor(127,55,23);S2.setRGBColor(31,159,40);S3.setRGBColor(209,62,190);S4.setRGBColor(31,159,40);S5.setRGBColor(127,55,23);S6.setRGBColor(31,159,40);S7.setRGBColor(209,62,190);S8.setRGBColor(22,86,232);S10.setRGBColor(22,86,232);} else {S9.setSize(1);};if(d(I,bI)==0) {S10.setRGBColor(255,0,0);S10.setSize(3);S1.setRGBColor(31,159,40);S2.setRGBColor(31,159,40);S3.setRGBColor(31,159,40);S4.setRGBColor(127,55,23);S5.setRGBColor(127,55,23);S6.setRGBColor(22,86,232);S7.setRGBColor(22,86,232);S8.setRGBColor(209,62,190);S9.setRGBColor(209,62,190);} else {S10.setSize(1);};\"couleurs des segments\"","7.8640078324313825","18.227005063562785"); // Styles : STL(bA,"c:#966400;h:1;s:4.5;sn:true;f:16;sp:2"); STL(bB,"c:#966400;h:1;s:4.5;sn:true;f:16;sp:2"); STL(I,"c:#b40000;o:1;s:4.5;sn:true;f:16;mg:[bI,200],[bA1,200],[bA,200],[bB,200],[bB1,200],[bC,200],[bM,200],[bC1,200],[bN,200],[bP,200]"); STL(E3,"c:#473f3d;s:7;f:12;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E2,"c:#250757;s:7;f:16;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E4,"c:#575302;s:7;f:12;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(bB1,"c:#966400;h:1;s:4.5;sn:true;f:16;sp:2"); STL(bC,"c:#966400;h:1;s:4.5;sn:true;f:16;sp:2"); STL(E10,"c:#0000b2;s:7;f:12;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E9,"c:#0000b2;s:7;f:12;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E13,"c:#007c7c;s:7;f:12;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E8,"c:#f70909;s:7;f:13;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E7,"c:#dd3ac2;s:7;f:13;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E6,"c:#3b61ef;s:7;f:13;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E5,"c:#966400;s:7;f:13;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E1,"c:#007c00;s:7;f:13;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(bA1,"c:#966400;h:1;s:4.5;sn:true;f:16;sp:2"); STL(E12,"c:#007c7c;s:7;f:12;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E11,"c:#0000b2;s:7;f:12;nmi:true;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(L4,"c:#780013;h:1;s:1;f:30;p:0"); STL(L9,"c:#780013;h:1;s:1;f:30;p:0"); STL(L2,"c:#780013;h:1;s:1;f:30;p:0"); STL(L5,"c:#780013;h:1;s:1;f:30;p:0"); STL(L1,"c:#780013;h:1;s:1;f:30;p:0"); STL(L6,"c:#780013;h:1;s:1;f:30;p:0"); STL(bI,"c:#966400;h:1;s:4.5;sn:true;f:16;sp:2"); STL(bM,"c:#966400;h:1;s:4.5;sn:true;f:16;sp:2"); STL(S1,"c:#1f9f28;s:1;f:24"); STL(S3,"c:#1f9f28;s:1;f:24"); STL(L3,"c:#780013;h:1;s:1;f:30;p:0"); STL(S4,"c:#7f3717;s:1;f:24"); STL(S2,"c:#1f9f28;s:1;f:24"); STL(S5,"c:#7f3717;s:1;f:24"); STL(bC1,"c:#966400;h:1;s:4.5;sn:true;f:16;sp:2"); STL(L8,"c:#780013;h:1;s:1;f:30;p:0"); STL(L7,"c:#780013;h:1;s:1;f:30;p:0"); STL(bN,"c:#966400;h:1;s:4.5;sn:true;f:16;sp:2"); STL(bP,"c:#966400;h:1;s:4.5;sn:true;f:16;sp:2"); STL(N,"c:#b40000;s:4.5;sn:true;f:16;sp:2;np:2.509036300594966"); STL(C1,"c:#966400;s:4.5;sn:true;f:16;sp:2;np:1.2429093933885544"); STL(B1,"c:#966400;s:4.5;sn:true;f:16;sp:2;np:1.0895521643377177"); STL(A,"c:#0000b2;s:4.5;sn:true;f:16;sp:2"); STL(B,"c:#0000b2;s:4.5;sn:true;f:16;sp:2;np:3.160109055657802"); STL(A1,"c:#966400;s:4.5;sn:true;f:16;sp:2;np:3.6355360327861166"); STL(S8,"c:#d13ebe;s:1;f:24"); STL(S9,"c:#d13ebe;s:1;f:24"); STL(S6,"c:#1656e8;s:1;f:24"); STL(P,"c:#b40000;s:4.5;sn:true;f:16;sp:2;np:5.804527471294823"); STL(S7,"c:#1656e8;s:1;f:24"); STL(S10,"c:#ff0000;s:3;f:24"); STL(M,"c:#b40000;s:4.5;sn:true;f:16;sp:2;np:0.19597526094643425"); STL(C,"c:#0000b2;s:4.5;sn:true;f:16;sp:2;np:0.7017946106912756"); STL(LesCouleurs,"c:#616233;h:1;s:7;sn:true;f:17;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MTtzOjEwO2Y6MTc="); SetCoordsStyle("isAxis:false;isGrid:true;isOx:true;isOy:true;isLockOx:false;isLockOy:false;centerZoom:false;color:#111111;fontSize:18;axisWidth:1;gridWidth:0.1");