X713

EVEN (- 3, - 2) CIRCUMCIRCLE POINT

X713 = isogonal conjugate of X712
< 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) { 32, 100 }: Central Line L(32, 100) { 101, 560 }: Central Line L(101, 560) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_712 = EVEN (- 3, - 2) INFINITY POINT (0.0337, -0.1011) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_560 = 4th POWER POINT (0.6520, 0.3639) X_713 = EVEN (- 3, - 2) CIRCUMCIRCLE POINT (0.9916, 0.2389) A B C X712 X32 X100 X101 X560 X713 (a, b, c) = (5, 6, 7) | AB = 1

X713 (EVEN (- 3, - 2) 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 \(f(a,b,c) = 1/[a ^{-4}(b ^{-2} + c ^{-2}) - a ^{-3}(b ^{-3} + c ^{-3})]\)
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): \(-0.616529833082\)

X713 lies on the circumcircle.

▸ Incident Central Lines2 lines

{32, 100}, {101, 560}

▸ Functional Relations2 relations