X367

CROSSPOINT OF X1 AND X366

X367 is the crosspoint of X1 and X366.
< 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, 364 }: Central Line L(1, 364) { 2, 366 }: Central Line L(2, 366) 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_366 = ISOGONAL CONJUGATE OF X(365) (0.5551, 0.2165) 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) A B C X1 X366 X364 X2 X367 (a, b, c) = (5, 6, 7) | AB = 1

X367 (CROSSPOINT OF X1 AND X366) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(b^{1/2} + c^{1/2} : c^{1/2} + a^{1/2} : a^{1/2} + b^{1/2}\)
Barycentrics: \(a(b^{1/2} + c^{1/2}) : b(c^{1/2} + a^{1/2}) : c(a^{1/2} + b^{1/2})\)
Search Value (6, 9, 13): \(1.895058946195\)
▸ Incident Central Lines2 lines

{1, 364}, {2, 366}

▸ Functional Relations3 relations