X3936

X902com[INVERSE(n(INCENTRAL TRIANGLE))]

X3936 = isogonal conjugate of X34079
< 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, 6 }: Centroid–Symmedian Line { 8, 442 }: Central Line L(8, 442) { 226, 306 }: Central Line L(226, 306) { 329, 440 }: Central Line L(329, 440) { 100, 851 }: Central Line L(100, 851) { 514, 661 }: Central Line L(514, 661) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_8 = NAGEL POINT (0.4694, 0.1333) X_442 = COMPLEMENT OF SCHIFFLER POINT (0.5418, 0.2114) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_329 = ISOTOMIC CONJUGATE OF X(189) (0.3847, -0.0222) X_440 = COMPLEMENT OF X(27) (0.4970, 0.0943) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_851 = -HIRST INVERSE OF X(73) (1.4149, 2.4958) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_661 = CROSSDIFFERENCE OF X(1) AND X(21) (48.4286, -23.0952) X_3936 = com[INVERSE(n(INCENTRAL TRIANGLE))] (-1.1837, -1.6497) A B C X2 X6 X8 X442 X226 X306 X329 X440 X100 X851 X514 X661 X3936 (a, b, c) = (5, 6, 7) | AB = 1

X3936 (X902com[INVERSE(n(INCENTRAL 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 \(f(a,b,c) = (b + c)(b^{2} + c^{2} - a^{2} - bc)\)
Search Value (6, 9, 13): \(11.871099442534\)
▸ Incident Central Lines26 lines

{1, 3454}, {2, 6}, {8, 442}, {10, 2650}, {21, 1330}, {31, 3771}, {42, 2887}, {100, 851}, {145, 1834}, {226, 306}, {304, 1228}, {312, 1230}, {320, 2245}, {329, 440}, {346, 1901}, {514, 661}, {518, 3006}, {740, 3120}, {752, 902}, {856, 1809}, {860, 1870}, {1043, 2475}, {2092, 3662}, {2292, 3178}, {3187, 3772}, {3649, 3704}

▸ Functional Relations4 relations