X937

ISOGONAL CONJUGATE OF X936

X937 is the isogonal conjugate of X936.
< 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) { 6, 40 }: Central Line L(6, 40) { 34, 196 }: Central Line L(34, 196) { 56, 223 }: Central Line L(56, 223) { 1, 329 }: Central Line L(1, 329) { 31, 1103 }: Central Line L(31, 1103) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_936 = INTERSECTION OF LINES X(1)X(2) AND X(3)X(9) (0.5138, 0.1768) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_40 = BEVAN POINT (0.4286, -0.0292) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_196 = -CEVA CONJUGATE OF X(4) (0.5649, -0.1989) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_223 = -CEVA CONJUGATE OF X(57) (0.4996, -0.0528) X_1 = INCENTER (0.5714, 0.2333) X_329 = ISOTOMIC CONJUGATE OF X(189) (0.3847, -0.0222) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1103 = TRILINEAR SQUARE OF X(40) (0.3353, 0.0019) X_937 = ISOGONAL CONJUGATE OF X(936) (0.6143, 0.2920) A B C X936 X6 X40 X34 X196 X56 X223 X1 X329 X31 X1103 X937 (a, b, c) = (5, 6, 7) | AB = 1

X937 (ISOGONAL CONJUGATE OF X936) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/[a^{3} - a^{2}(b + c) - a(b - c)^{2} + (b + c)^{3}]\)
Search Value (6, 9, 13): \(0.712526544069\)
▸ Incident Central Lines5 lines

{1, 329}, {6, 40}, {31, 1103}, {34, 196}, {56, 223}

▸ Functional Relations1 relation