X2702

SR(X98, X103)

X2702 = reflection of X2700 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) { 2700, 3 }: Central Line L(2700, 3) { 106, 187 }: Central Line L(106, 187) { 99, 514 }: Central Line L(99, 514) { 101, 512 }: Central Line L(101, 512) { 98, 516 }: Central Line L(98, 516) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2700 = SR(X(98), X(101)) (-0.0071, 0.1593) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_187 = INVERSE-IN-CIRCUMCIRCLE OF X(6) (SCHOUTE CENTER) (1.1986, 1.2559) X_99 = STEINER POINT (0.1109, 0.4322) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_98 = TARRY POINT (0.8891, -0.2281) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_2702 = SR(X(98), X(103)) (1.0071, 0.0449) A B C X2700 X3 X106 X187 X99 X514 X101 X512 X98 X516 X2702 (a, b, c) = (5, 6, 7) | AB = 1

X2702 (SR(X98, X103)) 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 \(f(a,b,c) = a/[(b - c)(b^{2} + c^{2} - a^{2} + bc -ab - ac)]\) (M. Iliev, 5/13/07)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.575467390458\)

X2702 lies on the circumcircle.

▸ Incident Central Lines16 lines

{3, 2700}, {6, 2712}, {98, 516}, {99, 514}, {100, 661}, {101, 512}, {103, 511}, {105, 1929}, {106, 187}, {110, 649}, {111, 902}, {572, 2699}, {573, 2708}, {727, 1691}, {741, 1326}, {1983, 2701}

▸ Functional Relations4 relations