X2733

SR(X102, X108)

X2733 = reflection of X2765 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) { 2765, 3 }: Central Line L(2765, 3) { 102, 521 }: Central Line L(102, 521) { 108, 515 }: Central Line L(108, 515) { 522, 1295 }: Central Line L(522, 1295) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2765 = SR(X(108), X(109)) (0.7125, 0.5660) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_1295 = COLLINGS TRANSFORM OF X(123) (0.4680, -0.4072) X_2733 = SR(X(102), X(108)) (0.2875, -0.3619) A B C X2765 X3 X102 X521 X108 X515 X522 X1295 X2733 (a, b, c) = (5, 6, 7) | AB = 1

X2733 (SR(X102, 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 = X102, U = X108
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(11.593116672737\)

X2733 lies on the circumcircle.

▸ Incident Central Lines4 lines

{3, 2765}, {102, 521}, {108, 515}, {522, 1295}

▸ Functional Relations2 relations