X2822

ISOGONAL CONJUGATE OF X2738

X2822 is the isogonal conjugate of X2738.
< 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) { 27, 103 }: Central Line L(27, 103) { 118, 122 }: Central Line L(118, 122) { 116, 133 }: Central Line L(116, 133) { 30, 511 }: Central Line L(30, 511) { 101, 1294 }: Central Line L(101, 1294) { 20, 2939 }: Central Line L(20, 2939) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2738 = SR(X(103), X(107)) (0.1824, -0.2974) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_122 = -OF-MEDIAL-TRIANGLE (0.5195, -0.0036) X_116 = MIDPOINT OF X(4) AND X(103) (0.6990, 0.0375) X_133 = INTERSECTION OF LINES X(4)X(74) AND X(5)X(122) (0.5928, 0.5014) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_2939 = EXCENTRAL-ISOGONAL CONJUGATE OF X(4) (0.4173, -0.3206) X_2822 = ISOGONAL CONJUGATE OF X(2738) (0.6684, -0.3721) A B C X2738 X27 X103 X118 X122 X116 X133 X30 X511 X101 X1294 X20 X2939 X2822 (a, b, c) = (5, 6, 7) | AB = 1

X2822 (ISOGONAL CONJUGATE OF X2738) 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 X2738
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines7 lines

{20, 2939}, {27, 103}, {30, 511}, {101, 1294}, {116, 133}, {118, 122}, {152, 2947}

▸ Functional Relations1 relation