X703

EVEN (- 4, 0) CIRCUMCIRCLE POINT

X703 = isogonal conjugate of X702
< 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) { 6, 689 }: Central Line L(6, 689) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_702 = EVEN (- 4, 0) INFINITY POINT (0.0459, -0.1206) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_689 = TRILINEAR POLE OF LINE X(6)X(76) (0.0585, 0.3579) X_703 = EVEN (- 4, 0) CIRCUMCIRCLE POINT (1.0008, 0.2001) A B C X702 X6 X689 X703 (a, b, c) = (5, 6, 7) | AB = 1

X703 (EVEN (- 4, 0) 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 \(f(a,b,c) = 1/[a ^{-5}(b^{0} + c^{0}) - a ^{-1}(b ^{-4} + c ^{-4})]\)
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): \(-0.629433073506\)

X703 lies on the circumcircle.

▸ Incident Central Lines1 line

{6, 689}

▸ Functional Relations2 relations