X2855

SM(X74, X98)

X2855 = isogonal conjugate of X2869
< 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) { 74, 325 }: Central Line L(74, 325) { 877, 1304 }: Central Line L(877, 1304) { 2407, 2715 }: Central Line L(2407, 2715) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2869 = ISOGONAL CONJUGATE OF X(2855) (0.4170, -0.3744) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_325 = -HIRST INVERSE OF X(69) (-0.3370, -0.7398) X_877 = INTERSECTION OF LINES X(4)X(69) AND X(99)X(112) (0.8267, 0.7499) X_1304 = COLLINGS TRANSFORM OF X(403) (0.7822, 0.5273) X_2407 = GIBERT-SIMSON TRANSFORM OF X(110) (1.2056, 0.9180) X_2715 = SR(X(99), X(112)) (0.9444, 0.3528) X_2855 = SM(X(74), X(98)) (0.5971, -0.3989) A B C X2869 X74 X325 X877 X1304 X2407 X2715 X2855 (a, b, c) = (5, 6, 7) | AB = 1

X2855 (SM(X74, X98)) 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) is given just before X2855 using P = X74 and U = X98
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(5.675545145040\)

X2855 lies on the circumcircle.

▸ Incident Central Lines3 lines

{74, 325}, {877, 1304}, {2407, 2715}

▸ Functional Relations1 relation