X2708

SR(X98, X109)

X2708 = reflection of X2701 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) { 2701, 3 }: Central Line L(2701, 3) { 108, 240 }: Central Line L(108, 240) { 107, 415 }: Central Line L(107, 415) { 99, 515 }: Central Line L(99, 515) { 102, 512 }: Central Line L(102, 512) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2701 = SR(X(98), X(102)) (0.9990, 0.2091) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_415 = -HIRST INVERSE OF X(29) (0.7758, 0.8236) X_99 = STEINER POINT (0.1109, 0.4322) X_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_2708 = SR(X(98), X(109)) (0.0010, -0.0050) A B C X2701 X3 X108 X240 X107 X415 X99 X515 X102 X512 X2708 (a, b, c) = (5, 6, 7) | AB = 1

X2708 (SR(X98, 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 = X98, U = X109
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(14.115123956597\)

X2708 lies on the circumcircle.

▸ Incident Central Lines11 lines

{3, 2701}, {10, 929}, {98, 522}, {99, 515}, {101, 1324}, {102, 512}, {107, 415}, {108, 240}, {109, 511}, {284, 2715}, {573, 2702}

▸ Functional Relations3 relations