X2249

X2-ISOCONJUGATE OF X851

X2249 = Ψ(X6, X810)
< 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) { 19, 107 }: Central Line L(19, 107) { 31, 112 }: Central Line L(31, 112) { 48, 110 }: Central Line L(48, 110) { 63, 99 }: Central Line L(63, 99) { 71, 100 }: Central Line L(71, 100) { 101, 228 }: Central Line L(101, 228) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_19 = CLAWSON POINT (0.6246, 0.4244) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_99 = STEINER POINT (0.1109, 0.4322) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_2249 = -ISOCONJUGATE OF X(851) (0.8254, -0.2910) A B C X19 X107 X31 X112 X48 X110 X63 X99 X71 X100 X101 X228 X2249 (a, b, c) = (5, 6, 7) | AB = 1

X2249 (X2-ISOCONJUGATE OF X851) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X851
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(10.771558774201\)

X2249 lies on the circumcircle.

▸ Incident Central Lines19 lines

{19, 107}, {31, 112}, {48, 110}, {63, 99}, {71, 100}, {81, 934}, {101, 228}, {108, 1172}, {109, 284}, {925, 1820}, {933, 2148}, {935, 2157}, {1288, 2158}, {1289, 2156}, {1301, 2155}, {1304, 2159}, {1305, 1952}, {1309, 2250}, {2222, 2341}

▸ Functional Relations5 relations