X701

EVEN (- 4, - 1) CIRCUMCIRCLE POINT

X701 = isogonal conjugate of X700
< 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) { 31, 789 }: Central Line L(31, 789) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_700 = EVEN (- 4, - 1) INFINITY POINT (0.0346, -0.1027) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_789 = o-(- 3, 0) CIRCUMCIRCLE POINT (0.0826, 0.3957) X_701 = EVEN (- 4, - 1) CIRCUMCIRCLE POINT (0.9924, 0.2359) A B C X700 X31 X789 X701 (a, b, c) = (5, 6, 7) | AB = 1

X701 (EVEN (- 4, - 1) 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 \(f(a,b,c) = 1/[a ^{-5}(b ^{-1} + c ^{-1}) - a ^{-2}(b ^{-4} + c ^{-4})]\)
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): \(-0.626495313330\)

X701 lies on the circumcircle.

▸ Incident Central Lines1 line

{31, 789}

▸ Functional Relations2 relations