X2699

SR(X98, X100)

X2699 = reflection of X2703 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) { 2703, 3 }: Central Line L(2703, 3) { 107, 422 }: Central Line L(107, 422) { 98, 513 }: Central Line L(98, 513) { 100, 511 }: Central Line L(100, 511) { 99, 517 }: Central Line L(99, 517) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2703 = SR(X(98), X(104)) (0.9885, -0.0455) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_422 = -HIRST INVERSE OF X(28) (0.7315, 0.7077) X_98 = TARRY POINT (0.8891, -0.2281) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_99 = STEINER POINT (0.1109, 0.4322) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_2699 = SR(X(98), X(100)) (0.0115, 0.2496) A B C X2703 X3 X107 X422 X98 X513 X100 X511 X99 X517 X2699 (a, b, c) = (5, 6, 7) | AB = 1

X2699 (SR(X98, X100)) 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 = X100
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(13.737295188860\)

X2699 lies on the circumcircle.

▸ Incident Central Lines12 lines

{3, 2703}, {98, 513}, {99, 517}, {100, 511}, {101, 1755}, {105, 512}, {107, 422}, {171, 2222}, {572, 2702}, {1309, 1824}, {1333, 2715}, {1402, 2720}

▸ Functional Relations5 relations