X3702

X3293com(EXTOUCH TRIANGLE)

X3702 = excentral-to-ABC barycentric image of X3293
< 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) { 8, 210 }: Central Line L(8, 210) { 21, 261 }: Central Line L(21, 261) { 1, 321 }: Central Line L(1, 321) { 306, 946 }: Central Line L(306, 946) { 78, 1229 }: Central Line L(78, 1229) { 519, 1089 }: Central Line L(519, 1089) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_261 = ISOTOMIC CONJUGATE OF X(12) (0.5072, 0.1625) X_1 = INCENTER (0.5714, 0.2333) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_946 = MIDPOINT OF X(1) AND X(4) (0.5918, 0.3145) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_1229 = ISOTOMIC CONJUGATE OF X(1170) (0.4424, 0.1218) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_1089 = TRILINEAR SQUARE OF X(10) (0.4606, 0.1381) X_3702 = com(EXTOUCH TRIANGLE) (0.4361, 0.1141) A B C X8 X210 X21 X261 X1 X321 X306 X946 X78 X1229 X519 X1089 X3702 (a, b, c) = (5, 6, 7) | AB = 1

X3702 (X3293com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(b c (2 a+b+c) \cdot (-a+b+c) : :\)
Search Value (6, 9, 13): \(5.179316195355\)
▸ Incident Central Lines12 lines

{1, 321}, {8, 210}, {21, 261}, {75, 3616}, {78, 1229}, {306, 946}, {430, 1230}, {519, 1089}, {740, 1193}, {1043, 3615}, {1125, 1962}, {1441, 3485}

▸ Functional Relations1 relation

  • X3702 = excentral-to-ABC barycentric image of X3293