X2823

ISOGONAL CONJUGATE OF X2739

X2823 is the isogonal conjugate of X2739.
< 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) { 33, 57 }: Central Line L(33, 57) { 118, 123 }: Central Line L(118, 123) { 152, 329 }: Central Line L(152, 329) { 30, 511 }: Central Line L(30, 511) { 101, 610 }: Central Line L(101, 610) { 1, 1461 }: Central Line L(1, 1461) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2739 = SR(X(103), X(108)) (0.1510, -0.2702) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_123 = -OF-MEDIAL-TRIANGLE (0.5401, -0.0057) X_152 = REFLECTION OF X(20) IN X(101) (0.0408, 1.2414) X_329 = ISOTOMIC CONJUGATE OF X(189) (0.3847, -0.0222) 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_610 = -CEVA CONJUGATE OF X(1) (0.4310, -0.2713) X_1 = INCENTER (0.5714, 0.2333) X_1461 = -BETH CONJUGATE OF X(651) (0.4656, 0.6221) X_2823 = ISOGONAL CONJUGATE OF X(2739) (0.3833, 0.7662) A B C X2739 X33 X57 X118 X123 X152 X329 X30 X511 X101 X610 X1 X1461 X2823 (a, b, c) = (5, 6, 7) | AB = 1

X2823 (ISOGONAL CONJUGATE OF X2739) 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 X2739
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines8 lines

{1, 1461}, {30, 511}, {33, 57}, {40, 1633}, {101, 610}, {118, 123}, {152, 329}, {1721, 2093}

▸ Functional Relations1 relation