X2692

SR(X74, X106)

X2692 = reflection of X2758 in X3
< 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) { 2758, 3 }: Central Line L(2758, 3) { 30, 106 }: Central Line L(30, 106) { 74, 519 }: Central Line L(74, 519) { 523, 1293 }: Central Line L(523, 1293) { 2071, 2370 }: Central Line L(2071, 2370) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2758 = SR(X(106), X(110)) (0.0594, 0.3595) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_2071 = INVERSE-IN-CIRCUMCIRCLE OF X(20) (0.2043, -0.6716) X_2370 = CIR(X(56)) (0.5918, -0.3999) X_2692 = SR(X(74), X(106)) (0.9406, -0.1554) A B C X2758 X3 X30 X106 X74 X519 X523 X1293 X2071 X2370 X2692 (a, b, c) = (5, 6, 7) | AB = 1

X2692 (SR(X74, X106)) 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 as given just before X2677 using P = X74, U = X106
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(6.558183672102\)

X2692 lies on the circumcircle.

▸ Incident Central Lines5 lines

{3, 2758}, {30, 106}, {74, 519}, {523, 1293}, {2071, 2370}

▸ Functional Relations2 relations