X2695

SR(X74, X109)

X2695 = reflection of X2689 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) { 2689, 3 }: Central Line L(2689, 3) { 30, 109 }: Central Line L(30, 109) { 74, 522 }: Central Line L(74, 522) { 102, 523 }: Central Line L(102, 523) { 110, 515 }: Central Line L(110, 515) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2689 = SR(X(74), X(102)) (0.9296, 0.3775) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_2695 = SR(X(74), X(109)) (0.0704, -0.1734) A B C X2689 X3 X30 X109 X74 X522 X102 X523 X110 X515 X2695 (a, b, c) = (5, 6, 7) | AB = 1

X2695 (SR(X74, X109)) 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 = X109
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(12.916682694597\)

X2695 lies on the circumcircle.

▸ Incident Central Lines9 lines

{3, 2689}, {29, 1304}, {30, 109}, {74, 522}, {102, 523}, {107, 2075}, {108, 1784}, {110, 515}, {411, 1290}

▸ Functional Relations3 relations