X362

CONGRUENT CIRCUMCIRCLES ISOSCELIZER POINT

The isoscelizer equations u(X)/a = v(X)/b = w(X)/c have solution X = X362.
< 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) { 57, 234 }: Central Line L(57, 234) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_234 = -CEVA CONJUGATE OF X(177) (0.5946, 0.2875) X_362 = CONGRUENT CIRCUMCIRCLES ISOSCELIZER POINT (0.5299, 0.2081) A B C X57 X234 X362 (a, b, c) = (5, 6, 7) | AB = 1

X362 (CONGRUENT CIRCUMCIRCLES ISOSCELIZER POINT) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(b \cos B/2 + c \cos C/2 - a \cos A/2\)
Search Value (6, 9, 13): \(2.281238109660\)
▸ Incident Central Lines1 line

{57, 234}

▸ Functional Relations1 relation