X2916

TANGENTIAL-ISOGONAL CONJUGATE OF X2

X2916 is the tangential-isogonal conjugate of X2.
< 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, 1176 }: Central Line L(6, 1176) { 6, 22 }: Central Line L(6, 22) { 195, 511 }: Central Line L(195, 511) { 159, 599 }: Central Line L(159, 599) { 155, 1350 }: Central Line L(155, 1350) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1176 = 1st SARAGOSSA POINT OF X(66) (0.5328, 0.1263) X_22 = EXETER POINT (0.4143, -0.1221) X_195 = -CEVA CONJUGATE OF X(3) (0.6761, 0.3331) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_159 = -OF-TANGENTIAL-TRIANGLE (0.4211, -0.7266) X_599 = ISOTOMIC CONJUGATE OF X(598) (0.4748, 0.1327) X_155 = EIGENCENTER OF ORTHIC TRIANGLE (1.1658, 0.5033) X_1350 = REFLECTION OF X(6) IN X(3) (0.4000, -0.0631) X_2916 = TANGENTIAL-ISOGONAL CONJUGATE OF X(2) (0.4656, -0.0146) A B C X6 X1176 X22 X195 X511 X159 X599 X155 X1350 X2916 (a, b, c) = (5, 6, 7) | AB = 1

X2916 (TANGENTIAL-ISOGONAL CONJUGATE OF X2) 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): \(102.445102351049\)
▸ Incident Central Lines9 lines

{6, 22}, {69, 2930}, {155, 1350}, {159, 599}, {182, 2937}, {195, 511}, {376, 2935}, {1352, 2918}, {1503, 2917}

▸ Functional Relations5 relations