X2923

TANGENTIAL-ISOGONAL CONJUGATE OF X13

X2923 is the tangential-isogonal conjugate of X13.
< 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) { 15, 2070 }: Central Line L(15, 2070) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_13 = 1st ISOGONIC CENTER (FERMAT POINT, TORRICELLI POINT) (0.5879, 0.2819) X_15 = 1st ISODYNAMIC POINT (0.5519, 0.1878) X_2070 = INVERSE-IN-CIRCUMCIRCLE OF X(5) (1.0914, 1.6495) X_2923 = TANGENTIAL-ISOGONAL CONJUGATE OF X(13) (0.4261, -0.1531) A B C X13 X15 X2070 X2923 (a, b, c) = (5, 6, 7) | AB = 1

X2923 (TANGENTIAL-ISOGONAL CONJUGATE OF X13) 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): \(-5.853795909608\)
▸ Incident Central Lines1 line

{15, 2070}