X2703

SR(X98, X104)

X2703 = reflection of X2699 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) { 2699, 3 }: Central Line L(2699, 3) { 99, 513 }: Central Line L(99, 513) { 100, 512 }: Central Line L(100, 512) { 98, 517 }: Central Line L(98, 517) { 104, 511 }: Central Line L(104, 511) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2699 = SR(X(98), X(100)) (0.0115, 0.2496) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_99 = STEINER POINT (0.1109, 0.4322) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_98 = TARRY POINT (0.8891, -0.2281) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_2703 = SR(X(98), X(104)) (0.9885, -0.0455) A B C X2699 X3 X99 X513 X100 X512 X98 X517 X104 X511 X2703 (a, b, c) = (5, 6, 7) | AB = 1

X2703 (SR(X98, X104)) 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 \(f(a,b,c) = a/[(b - c)(a^{3} - b^{2}c - bc^{2} + abc)]\) (M. Iliev, 5/13/07)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.172569400467\)

X2703 lies on the circumcircle.

▸ Incident Central Lines13 lines

{3, 2699}, {36, 741}, {98, 517}, {99, 513}, {100, 512}, {101, 798}, {104, 511}, {110, 667}, {187, 739}, {238, 759}, {392, 2726}, {713, 1691}, {1083, 2752}

▸ Functional Relations4 relations