X2834

ISOGONAL CONJUGATE OF X2750

X2834 is the isogonal conjugate of X2750.
< 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, 105 }: Central Line L(25, 105) { 120, 123 }: Central Line L(120, 123) { 30, 511 }: Central Line L(30, 511) { 269, 1358 }: Central Line L(269, 1358) { 1292, 1295 }: Central Line L(1292, 1295) { 1723, 2270 }: Central Line L(1723, 2270) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2750 = SR(X(105), X(108)) (0.0036, -0.0162) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) X_123 = -OF-MEDIAL-TRIANGLE (0.5401, -0.0057) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_269 = ISOGONAL CONJUGATE OF X(200) (0.6369, 0.3847) X_1358 = BRISSE TRANSFORM OF X(101) (0.7869, 0.1440) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_1295 = COLLINGS TRANSFORM OF X(123) (0.4680, -0.4072) X_1723 = MIMOSA TRANSFORM OF X(57) (0.7970, 0.5012) X_2270 = -ISOCONJUGATE OF X(963) (0.7148, 0.6331) X_2834 = ISOGONAL CONJUGATE OF X(2750) (0.8479, -0.2980) A B C X2750 X25 X105 X120 X123 X30 X511 X269 X1358 X1292 X1295 X1723 X2270 X2834 (a, b, c) = (5, 6, 7) | AB = 1

X2834 (ISOGONAL CONJUGATE OF X2750) 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 at X2750
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines6 lines

{25, 105}, {30, 511}, {120, 123}, {269, 1358}, {1292, 1295}, {1723, 2270}

▸ Functional Relations1 relation