X2919

TANGENTIAL-ISOGONAL CONJUGATE OF X7

X2919 is the tangential-isogonal conjugate of X7.
< 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) { 22, 1615 }: Central Line L(22, 1615) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_7 = GERGONNE POINT (0.5903, 0.2769) X_22 = EXETER POINT (0.4143, -0.1221) X_1615 = TCC-PERSPECTOR OF X(55) (0.4519, -0.2046) X_2919 = TANGENTIAL-ISOGONAL CONJUGATE OF X(7) (0.4236, -0.1425) A B C X7 X22 X1615 X2919 (a, b, c) = (5, 6, 7) | AB = 1

X2919 (TANGENTIAL-ISOGONAL CONJUGATE OF X7) 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): \(-11.666800355691\)
▸ Incident Central Lines1 line

{22, 1615}