X3693

X672com(EXTOUCH TRIANGLE)

X3693 = excentral-to-ABC barycentric image of X672
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2, 37 }: Central Line L(2, 37) { 9, 55 }: Central Line L(9, 55) { 78, 220 }: Central Line L(78, 220) { 1, 728 }: Central Line L(1, 728) { 44, 765 }: Central Line L(44, 765) { 100, 910 }: Central Line L(100, 910) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1462 = -BETH CONJUGATE OF X(673) (1.0265, -0.1555) X_2 = CENTROID (0.5374, 0.2000) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_9 = MITTENPUNKT (0.5110, 0.1615) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_220 = -CEVA CONJUGATE OF X(55) (0.4826, 0.1278) X_1 = INCENTER (0.5714, 0.2333) X_728 = INTERSECTION OF LINES X(8)X(9) AND X(57)X(345) (0.3648, 0.0624) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_765 = CEVAPOINT OF X(1) AND X(100) (0.4286, 0.3110) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_910 = CROSSPOINT OF X(57) AND X(105) (1.3163, 2.5495) X_3693 = com(EXTOUCH TRIANGLE) (-0.4771, -0.6338) A B C X1462 X2 X37 X9 X55 X78 X220 X1 X728 X44 X765 X100 X910 X3693 (a, b, c) = (5, 6, 7) | AB = 1

X3693 (X672com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(b + c - a)(b^{2} + c ^{2} - ab - ac)\)
Search Value (6, 9, 13): \(7.229487786726\)
▸ Incident Central Lines19 lines

{1, 728}, {2, 37}, {8, 1212}, {9, 55}, {44, 765}, {65, 3501}, {78, 220}, {100, 910}, {101, 2751}, {517, 1018}, {518, 672}, {522, 650}, {960, 1334}, {1026, 1642}, {1040, 2324}, {1155, 3509}, {1759, 3579}, {2329, 2646}, {3057, 3061}

▸ Functional Relations3 relations