X1260

ISOGONAL CONJUGATE OF X1119

X1260 is the isogonal conjugate of X1119.
< 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) { 9, 55 }: Central Line L(9, 55) { 3, 63 }: Central Line L(3, 63) { 31, 218 }: Central Line L(31, 218) { 101, 154 }: Central Line L(101, 154) { 8, 405 }: Central Line L(8, 405) { 100, 329 }: Central Line L(100, 329) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1119 = 2nd HATZIPOLAKIS PERSPECTOR (0.6322, 0.5039) X_9 = MITTENPUNKT (0.5110, 0.1615) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_218 = -CEVA CONJUGATE OF X(55) (0.6557, 0.3333) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_154 = -CEVA CONJUGATE OF X(6) (0.4807, -0.3954) X_8 = NAGEL POINT (0.4694, 0.1333) X_405 = EULER LINE INTERCEPT OF LINE X(1)X(6) (0.5325, 0.1870) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_329 = ISOTOMIC CONJUGATE OF X(189) (0.3847, -0.0222) X_1260 = ISOGONAL CONJUGATE OF X(1119) (0.3557, 0.0365) A B C X1119 X9 X55 X3 X63 X31 X218 X101 X154 X8 X405 X100 X329 X1260 (a, b, c) = (5, 6, 7) | AB = 1

X1260 (ISOGONAL CONJUGATE OF X1119) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as in X1119)
Search Value (6, 9, 13): \(5.288886894790\)
▸ Alternate Coordinates1 form

  • Trilinears: \(g(A,B,C) : g(B,C,A) : g(C,A,B)\), where \(g(A, B, C) = (1 + \cos A)/(1 - \sec A)\)

▸ Incident Central Lines10 lines

{1, 939}, {2, 954}, {3, 63}, {8, 405}, {9, 55}, {31, 218}, {100, 329}, {101, 154}, {212, 219}, {956, 1006}

▸ Functional Relations4 relations