X366

ISOGONAL CONJUGATE OF X365

X366 is the isogonal conjugate of X365.
< 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) { 9, 364 }: Central Line L(9, 364) { 2, 367 }: Central Line L(2, 367) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_365 = SQUARE ROOT POINT (0.5864, 0.2502) X_9 = MITTENPUNKT (0.5110, 0.1615) X_364 = WABASH CENTER (EQUAL AREAS ISOSCELIZER POINT) (0.5406, 0.1984) X_2 = CENTROID (0.5374, 0.2000) X_367 = CROSSPOINT OF X(1) AND X(366) (0.5638, 0.2247) X_366 = ISOGONAL CONJUGATE OF X(365) (0.5551, 0.2165) A B C X365 X9 X364 X2 X367 X366 (a, b, c) = (5, 6, 7) | AB = 1

X366 (ISOGONAL CONJUGATE OF X365) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a^{-1/2} : b^{-1/2} : c^{-1/2}\)
Barycentrics: \(a^{1/2} : b^{1/2} : c^{1/2}\)
Search Value (6, 9, 13): \(2.133820887465\)
▸ Incident Central Lines3 lines

{2, 367}, {6, 2068}, {9, 364}

▸ Functional Relations7 relations

Notes

See the note at X365.