X2925

TANGENTIAL-ISOGONAL CONJUGATE OF X15

X2925 is the tangential-isogonal conjugate of X15.
< 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) { 3, 13 }: Central Line L(3, 13) { 22, 1605 }: Central Line L(22, 1605) { 99, 1606 }: Central Line L(99, 1606) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_15 = 1st ISODYNAMIC POINT (0.5519, 0.1878) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_13 = 1st ISOGONIC CENTER (FERMAT POINT, TORRICELLI POINT) (0.5879, 0.2819) X_22 = EXETER POINT (0.4143, -0.1221) X_1605 = TCC-PERSPECTOR OF X(13) (0.5477, 0.3253) X_99 = STEINER POINT (0.1109, 0.4322) X_1606 = TCC-PERSPECTOR OF X(14) (0.8673, -0.5199) X_2925 = TANGENTIAL-ISOGONAL CONJUGATE OF X(15) (0.4517, 0.0032) A B C X15 X3 X13 X22 X1605 X99 X1606 X2925 (a, b, c) = (5, 6, 7) | AB = 1

X2925 (TANGENTIAL-ISOGONAL CONJUGATE OF X15) 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): \(19.011461735073\)
▸ Incident Central Lines3 lines

{3, 13}, {22, 1605}, {99, 1606}

▸ Functional Relations1 relation

  • X2925 = circumcircle-inverse of X33500