X2204

X2-ISOCONJUGATE OF X307

X2204 = isogonal conjugate of X1231
< 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) { 25, 32 }: Central Line L(25, 32) { 28, 105 }: Central Line L(28, 105) { 21, 270 }: Central Line L(21, 270) { 55, 607 }: Central Line L(55, 607) { 56, 608 }: Central Line L(56, 608) { 284, 1036 }: Central Line L(284, 1036) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1231 = ISOTOMIC CONJUGATE OF X(1172) (0.4217, 0.0767) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_270 = ISOGONAL CONJUGATE OF X(201) (0.6168, 0.3881) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_607 = ISOGONAL CONJUGATE OF X(348) (0.6187, 0.3865) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_608 = ISOGONAL CONJUGATE OF X(345) (0.6361, 0.4975) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_1036 = ISOGONAL CONJUGATE OF X(388) (0.5632, 0.2044) X_2204 = -ISOCONJUGATE OF X(307) (0.6341, 0.4295) A B C X1231 X25 X32 X28 X105 X21 X270 X55 X607 X56 X608 X284 X1036 X2204 (a, b, c) = (5, 6, 7) | AB = 1

X2204 (X2-ISOCONJUGATE OF X307) 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 X307
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-3.207924451422\)
▸ Incident Central Lines11 lines

{19, 2218}, {21, 270}, {25, 32}, {28, 105}, {31, 1932}, {41, 2212}, {55, 607}, {56, 608}, {284, 1036}, {1829, 1914}, {2206, 2208}

▸ Functional Relations5 relations