X3892

X547com[INVERSE(n(3rd EULER TRIANGLE))]

< 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, 21 }: Central Line L(1, 21) { 354, 519 }: Central Line L(354, 519) { 518, 551 }: Central Line L(518, 551) { 214, 999 }: Central Line L(214, 999) { 210, 1125 }: Central Line L(210, 1125) { 872, 995 }: Central Line L(872, 995) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_354 = WEILL POINT (0.5823, 0.2533) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_551 = MIDPOINT OF X(1) AND X(2) (0.5544, 0.2166) X_214 = -CEVA CONJUGATE OF X(44) (0.3571, 0.3499) X_999 = MIDPOINT OF X(1) AND X(57) (0.5926, 0.2722) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_1125 = COMPLEMENT OF X(10) (0.5459, 0.2083) X_872 = INTERSECTION OF LINES X(37)X(42) AND X(43)X(75) (0.6029, 0.2656) X_995 = MIDPOINT OF X(1) AND X(43) (0.6036, 0.2648) X_3892 = com[INVERSE(n(3rd EULER TRIANGLE))] (0.5993, 0.2699) A B C X1 X21 X354 X519 X518 X551 X214 X999 X210 X1125 X872 X995 X3892 (a, b, c) = (5, 6, 7) | AB = 1

X3892 (X547com[INVERSE(n(3rd EULER 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 \(f(a,b,c) = a(b^{3} + c^{3} - a^{2}b - a^{2}c - 6abc)\)
Search Value (6, 9, 13): \(0.833917635957\)
▸ Incident Central Lines15 lines

{1, 21}, {10, 3742}, {65, 3635}, {72, 3636}, {145, 3754}, {210, 1125}, {214, 999}, {354, 519}, {518, 551}, {872, 995}, {942, 3244}, {997, 3243}, {2802, 3241}, {3158, 3333}, {3616, 3678}