X2921

TANGENTIAL-ISOGONAL CONJUGATE OF X9

X2921 is the tangential-isogonal conjugate of X9.
< 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, 347 }: Central Line L(22, 347) { 36, 1104 }: Central Line L(36, 1104) { 3, 1603 }: Central Line L(3, 1603) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_9 = MITTENPUNKT (0.5110, 0.1615) X_22 = EXETER POINT (0.4143, -0.1221) X_347 = ISOTOMIC CONJUGATE OF X(280) (0.4531, -0.0404) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_1104 = CROSSPOINT OF X(1) AND X(28) (0.6311, 0.3042) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1603 = TCC-PERSPECTOR OF X(8) (0.3539, -0.8165) X_2921 = TANGENTIAL-ISOGONAL CONJUGATE OF X(9) (0.4895, 0.0363) A B C X9 X22 X347 X36 X1104 X3 X1603 X2921 (a, b, c) = (5, 6, 7) | AB = 1

X2921 (TANGENTIAL-ISOGONAL CONJUGATE OF X9) 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): \(21.966270471178\)
▸ Incident Central Lines3 lines

{3, 1603}, {22, 347}, {36, 1104}