X711

EVEN (- 4, 4) CIRCUMCIRCLE POINT

X711 = isogonal conjugate of X710
< 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) { 99, 695 }: Central Line L(99, 695) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_710 = EVEN (- 4, 4) INFINITY POINT (0.1004, -0.1918) X_99 = STEINER POINT (0.1109, 0.4322) X_695 = ISOGONAL CONJUGATE OF X(384) (0.5903, 0.2249) X_711 = EVEN (- 4, 4) CIRCUMCIRCLE POINT (1.0071, 0.0447) A B C X710 X99 X695 X711 (a, b, c) = (5, 6, 7) | AB = 1

X711 (EVEN (- 4, 4) CIRCUMCIRCLE POINT) 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 \(f(a,b,c) = 1/[a ^{-5}(b^{4} + c^{4}) - a^{3}(b ^{-4} + c ^{-4})]\)
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = af(a,b,c)\)
Search Value (6, 9, 13): \(-0.092454166535\)

X711 lies on the circumcircle.

▸ Incident Central Lines1 line

{99, 695}

▸ Functional Relations2 relations