X3906

X523com[INVERSE(n(5th EULER TRIANGLE))]

X3906 = infinite point of radical axis of Brocard circle and orthocentroidal circle
< 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) { 30, 511 }: Central Line L(30, 511) { 39, 647 }: Central Line L(39, 647) { 76, 850 }: Central Line L(76, 850) { 262, 2394 }: Central Line L(262, 2394) { 879, 3431 }: Central Line L(879, 3431) 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_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_647 = CROSSDIFFERENCE OF X(2) AND X(3) (4.2063, -0.5653) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_850 = BARYCENTRIC MULTIPLIER FOR KIEPERT HYPERBOLA (-6.8003, 1.7304) X_262 = ISOGONAL CONJUGATE OF X(182) (0.5893, 0.2856) X_2394 = GIBERT-SIMSON TRANSFORM OF X(74) (1.3195, 0.1255) X_879 = ISOTOMIC CONJUGATE OF X(877) (1.2088, 0.0345) X_3431 = -VERTEX CONJUGATE OF X(6) (0.5702, 0.1746) X_3906 = com[INVERSE(n(5th EULER TRIANGLE))] (1.1106, 0.0742) A B C X2 X30 X511 X39 X647 X76 X850 X262 X2394 X879 X3431 X3906 (a, b, c) = (5, 6, 7) | AB = 1

X3906 (X523com[INVERSE(n(5th EULER TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \((b^{2} - c^{2})(2b^{2} + 2c^{2} - a^{2}) : :\)
▸ Incident Central Lines5 lines

{30, 511}, {39, 647}, {76, 850}, {262, 2394}, {879, 3431}

▸ Functional Relations4 relations