X2694

SR(X74, X108)

X2694 = reflection of X2766 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) { 2766, 3 }: Central Line L(2766, 3) { 30, 108 }: Central Line L(30, 108) { 74, 521 }: Central Line L(74, 521) { 20, 1290 }: Central Line L(20, 1290) { 21, 1304 }: Central Line L(21, 1304) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2766 = SR(X(108), X(110)) (0.8158, 0.5029) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_1290 = COLLINGS TRANSFORM OF X(36) (1.0092, 0.1355) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_1304 = COLLINGS TRANSFORM OF X(403) (0.7822, 0.5273) X_2694 = SR(X(74), X(108)) (0.1842, -0.2988) A B C X2766 X3 X30 X108 X74 X521 X20 X1290 X21 X1304 X2694 (a, b, c) = (5, 6, 7) | AB = 1

X2694 (SR(X74, X108)) 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 = X108
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(12.569072902125\)

X2694 lies on the circumcircle.

▸ Incident Central Lines9 lines

{3, 2766}, {20, 1290}, {21, 1304}, {30, 108}, {74, 521}, {100, 2071}, {107, 1325}, {523, 1295}, {1301, 2074}

▸ Functional Relations3 relations