X2386

ISOGONAL CONJUGATE OF X2366

As the isogonal conjugate of a point on the circumcircle, X2386 lies on the line at infinity.
< 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, 32 }: Central Line L(25, 32) { 30, 511 }: Central Line L(30, 511) { 305, 315 }: Central Line L(305, 315) { 626, 1368 }: Central Line L(626, 1368) { 1968, 2353 }: Central Line L(1968, 2353) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2366 = CIR(X(25)) (0.3278, -0.3783) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_305 = ISOTOMIC CONJUGATE OF X(25) (0.3258, 0.0397) X_315 = ISOTOMIC CONJUGATE OF X(66) (0.3323, -0.0666) X_626 = COMPLEMENT OF X(32) (0.4861, 0.1333) X_1368 = COMPLEMENTARY CONJUGATE OF X(6) (0.4897, 0.0751) X_1968 = CROSSSUM OF PU(37) (0.5947, 0.4354) X_2353 = -ISOCONJUGATE OF X(1760) (0.5700, 0.8373) X_2386 = ISOGONAL CONJUGATE OF X(2366) (0.6246, 0.4244) A B C X2366 X25 X32 X30 X511 X305 X315 X626 X1368 X1968 X2353 X2386 (a, b, c) = (5, 6, 7) | AB = 1

X2386 (ISOGONAL CONJUGATE OF X2366) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/U : 1/V : 1/W\), where \(U : V : W\) = X2366
Barycentrics: \(a/U : b/V : c/W\)
▸ Incident Central Lines5 lines

{25, 32}, {30, 511}, {305, 315}, {626, 1368}, {1968, 2353}

▸ Functional Relations1 relation