X2445

ISOGONAL CONJUGATE OF X2419

X2445 is the isogonal conjugate of X2419.
< 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) { 6, 25 }: Central Line L(6, 25) { 110, 1301 }: Central Line L(110, 1301) { 250, 2421 }: Central Line L(250, 2421) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2419 = GIBERT-SIMSON TRANSFORM OF X(1297) (79.2052, 3.6384) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_1301 = COLLINGS TRANSFORM OF X(235) (0.6568, 0.5877) X_250 = ISOGONAL CONJUGATE OF X(125) (0.5892, 0.5347) X_2421 = ISOGONAL CONJUGATE OF X(2395) (1.5174, 1.2531) X_2445 = ISOGONAL CONJUGATE OF X(2419) (0.6577, 0.5878) A B C X2419 X6 X25 X110 X1301 X250 X2421 X2445 (a, b, c) = (5, 6, 7) | AB = 1

X2445 (ISOGONAL CONJUGATE OF X2419) 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 given just before X2394
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
Search Value (6, 9, 13): \(0.077111046005\)

X2445 lies on the cubic K162.

▸ Incident Central Lines3 lines

{6, 25}, {110, 1301}, {250, 2421}

▸ Functional Relations2 relations