X2914

ORTHIC-ISOGONAL CONJUGATE OF X186

X2914 is the orthic-isogonal conjugate of X186.
< 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) { 54, 74 }: Central Line L(54, 74) { 52, 110 }: Central Line L(52, 110) { 4, 195 }: Central Line L(4, 195) { 186, 323 }: Central Line L(186, 323) { 113, 539 }: Central Line L(113, 539) { 125, 1199 }: Central Line L(125, 1199) 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_186 = INVERSE-IN-CIRCUMCIRCLE OF X(4) (0.7957, 0.8758) X_54 = KOSNITA POINT (0.5880, 0.2176) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_52 = ORTHOCENTER OF ORTHIC TRIANGLE (0.7155, 0.4580) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_195 = -CEVA CONJUGATE OF X(3) (0.6761, 0.3331) X_323 = ISOTOMIC CONJUGATE OF X(94) (-0.8839, -1.3275) X_113 = JERABEK ANTIPODE (0.4319, 0.4718) X_539 = DIRECTION OF VECTOR AX + BX + CX, where X = X(54) (1.0917, 0.3927) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_1199 = 3rd SARAGOSSA POINT OF X(54) (0.5984, 0.2504) X_2914 = ORTHIC-ISOGONAL CONJUGATE OF X(186) (0.5079, 0.4982) A B C X4 X186 X54 X74 X52 X110 X195 X323 X113 X539 X125 X1199 X2914 (a, b, c) = (5, 6, 7) | AB = 1

X2914 (ORTHIC-ISOGONAL CONJUGATE OF X186) 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): \(-15.610219985849\)
▸ Incident Central Lines8 lines

{4, 195}, {52, 110}, {54, 74}, {113, 539}, {125, 1199}, {186, 323}, {265, 1994}, {2888, 2904}

▸ Functional Relations2 relations