X3705

X3550com(EXTOUCH TRIANGLE)

X3705 = excentral-to-ABC barycentric image of X3550
< 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) { 1, 2 }: Nagel Line { 63, 147 }: Central Line L(63, 147) { 11, 312 }: Central Line L(11, 312) { 75, 325 }: Central Line L(75, 325) { 183, 319 }: Central Line L(183, 319) { 262, 321 }: Central Line L(262, 321) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3056 = INTERSECTION OF LINES X(1)X(256) AND X(6)X(31) (0.5257, 0.1578) X_1 = INCENTER (0.5714, 0.2333) X_2 = CENTROID (0.5374, 0.2000) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_147 = TARRY POINT OF ANTICOMPLEMENTARY TRIANGLE (-0.1660, 1.0561) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_325 = -HIRST INVERSE OF X(69) (-0.3370, -0.7398) X_183 = TRILINEAR PRODUCT X(75)X(182) (0.4700, 0.1275) X_319 = ISOTOMIC CONJUGATE OF X(79) (0.4549, 0.1161) X_262 = ISOGONAL CONJUGATE OF X(182) (0.5893, 0.2856) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_3705 = com(EXTOUCH TRIANGLE) (0.4415, 0.1060) A B C X3056 X1 X2 X63 X147 X11 X312 X75 X325 X183 X319 X262 X321 X3705 (a, b, c) = (5, 6, 7) | AB = 1

X3705 (X3550com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \((b^{2}-b c+c^{2}) \cdot (-a+b+c) : :\)
Search Value (6, 9, 13): \(4.763306007732\)
▸ Incident Central Lines13 lines

{1, 2}, {11, 312}, {63, 147}, {69, 1447}, {75, 325}, {183, 319}, {262, 321}, {318, 427}, {333, 2194}, {341, 1329}, {345, 497}, {982, 2887}, {1368, 2968}

▸ Functional Relations2 relations