X2208

X2-ISOCONJUGATE OF X329

X2208 = isogonal conjugate of X322
< 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) { 48, 55 }: Central Line L(48, 55) { 21, 84 }: Central Line L(21, 84) { 41, 184 }: Central Line L(41, 184) { 25, 604 }: Central Line L(25, 604) { 56, 1413 }: Central Line L(56, 1413) { 105, 1422 }: Central Line L(105, 1422) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2192 = -ISOCONJUGATE OF X(223) (0.6097, 0.7143) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_604 = -CEVA CONJUGATE OF X(31) (0.6442, 0.3744) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_1413 = -BETH CONJUGATE OF X(84) (0.6037, 0.6378) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_1422 = -BETH CONJUGATE OF X(189) (0.6044, 0.6471) X_2208 = -ISOCONJUGATE OF X(329) (0.6024, 0.6511) A B C X2192 X31 X48 X55 X21 X84 X41 X184 X25 X604 X56 X1413 X105 X1422 X2208 (a, b, c) = (5, 6, 7) | AB = 1

X2208 (X2-ISOCONJUGATE OF X329) 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 X329
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.905930480549\)
▸ Incident Central Lines11 lines

{21, 84}, {25, 604}, {41, 184}, {48, 55}, {56, 1413}, {105, 1422}, {282, 2359}, {1036, 1433}, {1319, 2218}, {1903, 2267}, {2204, 2206}

▸ Functional Relations5 relations