X2952

EXCENTRAL-ISOGONAL CONJUGATE OF X61

X2952 is the excentral-isogonal conjugate of X61.
< 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) { 191, 1276 }: Central Line L(191, 1276) { 40, 2946 }: Central Line L(40, 2946) { 1761, 2321 }: Central Line L(1761, 2321) { 15, 2959 }: Central Line L(15, 2959) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_61 = ISOGONAL CONJUGATE OF X(17) (0.5764, 0.2283) X_191 = -CEVA CONJUGATE OF X(1) (0.4859, 0.1209) X_1276 = 2nd EVANS PERSPECTOR (4.3665, 9.0809) X_40 = BEVAN POINT (0.4286, -0.0292) X_2946 = EXCENTRAL-ISOGONAL CONJUGATE OF X(16) (-0.1723, 0.9884) X_1761 = MIMOSA TRANSFORM OF X(306) (0.4350, 0.0384) X_2321 = -ISOCONJUGATE OF X(1408) (0.4497, 0.1200) X_15 = 1st ISODYNAMIC POINT (0.5519, 0.1878) X_2959 = EXCENTRAL-ISOGONAL CONJUGATE OF X(147) (1.6903, 2.0547) X_2952 = EXCENTRAL-ISOGONAL CONJUGATE OF X(61) (0.4242, -0.0217) A B C X61 X191 X1276 X40 X2946 X1761 X2321 X15 X2959 X2952 (a, b, c) = (5, 6, 7) | AB = 1

X2952 (EXCENTRAL-ISOGONAL CONJUGATE OF X61) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(10.701405162430\)
▸ Incident Central Lines4 lines

{15, 2959}, {40, 2946}, {191, 1276}, {1761, 2321}

▸ Functional Relations1 relation