// // GeoScript-Datei Napoleon-Dreieck.script // hergestellt mit EUKLID DynaGeo 2.2 // // Figurenbeschreibung // =================== e[1] = O; point; fixed; 0.0, 0.0; "hidden" e[2] = _xe; point; fixed; 1.0, 0.0; "hidden" e[3] = _ye; point; fixed; 0.0, 1.0; "hidden" e[4] = _KO; point; coordSystem; O, O, _xe, O, _ye, 1000, 1000, 1000, 1000; "hidden" e[5] = xa; line; straightLine; O, _xe; "hidden" e[6] = ya; line; straightLine; O, _ye; "hidden" e[7] = A; point; dragable; -4.2598, -0.5821; e[8] = C; point; dragable; -1.6404, 1.3229; e[9] = B; point; dragable; -1.0583, -0.8467; e[10] = s1; line; connect; A, C; 0;0;0,0,255;0; e[11] = s2; line; connect; C, B; 0;0;0,0,255;0; e[12] = s3; line; connect; B, A; 0;0;0,0,255;0; e[13] = k1; circle; radius; C, A; "hidden" e[14] = k2; circle; radius; A, C; "hidden" e[15] = P4; point; intersection; k1, k2, 1; "hidden" e[16] = P5; point; intersection; k1, k2, 2; "hideLabel" e[17] = s6; line; connect; P5, A; 0;0;0,0,255;0; e[18] = s7; line; connect; P5, C; 0;0;0,0,255;0; e[19] = k3; circle; radius; C, B; "hidden" e[20] = k4; circle; radius; B, C; "hidden" e[21] = P6; point; intersection; k4, k3, 1; "hidden" e[22] = P7; point; intersection; k4, k3, 2; "hideLabel" e[23] = s11; line; connect; P7, B; 0;0;0,0,255;0; e[24] = s12; line; connect; C, P7; 0;0;0,0,255;0; e[25] = k5; circle; radius; A, B; "hidden" e[26] = k6; circle; radius; B, A; "hidden" e[27] = P9; point; intersection; k6, k5, 1; "hideLabel" e[28] = P10; point; intersection; k6, k5, 2; "hidden" e[29] = s15; line; connect; A, P9; 0;0;0,0,255;0; e[30] = s16; line; connect; B, P9; 0;0;0,0,255;0; e[31] = _1g1; line; straightLine; A, P9; "hidden" e[32] = _2g1; point; midpoint; A, P9; "hidden" e[33] = g1; line; perpendicular; _2g1, _1g1; "hidden" e[34] = _1g2; line; straightLine; B, P9; "hidden" e[35] = _2g2; point; midpoint; B, P9; "hidden" e[36] = g2; line; perpendicular; _2g2, _1g2; "hidden" e[37] = P; point; intersection; g1, g2; e[38] = _1g3; line; straightLine; A, C; "hidden" e[39] = _2g3; point; midpoint; A, C; "hidden" e[40] = g3; line; perpendicular; _2g3, _1g3; "hidden" e[41] = _1g4; line; straightLine; P5, C; "hidden" e[42] = _2g4; point; midpoint; P5, C; "hidden" e[43] = g4; line; perpendicular; _2g4, _1g4; "hidden" e[44] = Q; point; intersection; g3, g4; e[45] = _1g5; line; straightLine; C, P7; "hidden" e[46] = _2g5; point; midpoint; C, P7; "hidden" e[47] = g5; line; perpendicular; _2g5, _1g5; "hidden" e[48] = _1g6; line; straightLine; C, B; "hidden" e[49] = _2g6; point; midpoint; C, B; "hidden" e[50] = g6; line; perpendicular; _2g6, _1g6; "hidden" e[51] = R; point; intersection; g5, g6; e[52] = s23; line; connect; Q, R; 0;0;255,0,0;0; e[53] = s24; line; connect; Q, P; 0;0;255,0,0;0; e[54] = s25; line; connect; R, P; 0;0;255,0,0;0; e[55] = s26; line; connect; C, P; 0;0;255,0,0;0; e[56] = s27; line; connect; A, R; 0;0;255,0,0;0; e[57] = s29; line; connect; B, Q; 0;0;255,0,0;0; e[58] = P17; point; intersection; s29, s26; "hideLabel" // Vor dem Export von Textfenstern *harte* Zeilenumbrüche einfügen ! Position = 14;16;-1;-1; {nameColor = black} {edgeColor = 0} {faceColor = 0} Napoleon-Dreieck Position = 176;16;-1;-1; {nameColor = black} {edgeColor = 0} {faceColor = 0} Über den Seiten eines beliebigen Dreiecks ABC werden gleichseitige Dreiecke mit den Mittelpunkten P, Q und R errichtet. Dann ist das Dreieck PQR selbst gleichseitig. // Ende des EUKLID DynaGeo-Exports