X2926

TANGENTIAL-ISOGONAL CONJUGATE OF X16

X2926 is the tangential-isogonal conjugate of X16.
< 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, 14 }: Central Line L(3, 14) { 22, 1606 }: Central Line L(22, 1606) { 99, 1605 }: Central Line L(99, 1605) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_16 = 2nd ISODYNAMIC POINT (1.8453, 2.3239) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_14 = 2nd ISOGONIC CENTER (0.9134, -0.1143) X_22 = EXETER POINT (0.4143, -0.1221) X_1606 = TCC-PERSPECTOR OF X(14) (0.8673, -0.5199) X_99 = STEINER POINT (0.1109, 0.4322) X_1605 = TCC-PERSPECTOR OF X(13) (0.5477, 0.3253) X_2926 = TANGENTIAL-ISOGONAL CONJUGATE OF X(16) (-0.3435, 0.5435) A B C X16 X3 X14 X22 X1606 X99 X1605 X2926 (a, b, c) = (5, 6, 7) | AB = 1

X2926 (TANGENTIAL-ISOGONAL CONJUGATE OF X16) 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): \(53.484690407138\)
▸ Incident Central Lines3 lines

{3, 14}, {22, 1606}, {99, 1605}

▸ Functional Relations1 relation

  • X2926 = circumcircle-inverse of X33498