X2906

ORTHIC-ISOGONAL CONJUGATE OF X28

X2906 is the orthic-isogonal conjugate of X28.
< 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) { 28, 60 }: Central Line L(28, 60) { 193, 406 }: Central Line L(193, 406) { 4, 1029 }: Central Line L(4, 1029) { 79, 1172 }: Central Line L(79, 1172) { 163, 1782 }: Central Line L(163, 1782) { 1, 2074 }: Central Line L(1, 2074) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_193 = -CEVA CONJUGATE OF X(2) (0.7878, 0.4690) X_406 = EULER LINE INTERCEPT OF LINE X(10)X(33) (0.5745, 0.2970) X_1029 = CYCLOCEVIAN CONJUGATE OF X(1) (0.6026, 0.3320) X_79 = ISOGONAL CONJUGATE OF X(35) (0.5976, 0.3019) X_1172 = 1st SARAGOSSA POINT OF X(48) (0.6100, 0.3717) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_1782 = MIMOSA TRANSFORM OF X(1257) (0.5322, 0.3832) X_1 = INCENTER (0.5714, 0.2333) X_2074 = INVERSE-IN-CIRCUMCIRCLE OF X(28) (0.7584, 0.7781) X_2906 = ORTHIC-ISOGONAL CONJUGATE OF X(28) (0.6005, 0.3179) A B C X4 X28 X60 X193 X406 X1029 X79 X1172 X163 X1782 X1 X2074 X2906 (a, b, c) = (5, 6, 7) | AB = 1

X2906 (ORTHIC-ISOGONAL CONJUGATE OF X28) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.816657181389\)
▸ Incident Central Lines9 lines

{1, 2074}, {4, 1029}, {28, 60}, {79, 1172}, {163, 1782}, {193, 406}, {451, 2895}, {860, 2907}, {1100, 2189}

▸ Functional Relations2 relations