X2922

TANGENTIAL-ISOGONAL CONJUGATE OF X10

X2922 is the tangential-isogonal conjugate of X10.
< 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, 595 }: Central Line L(22, 595) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_22 = EXETER POINT (0.4143, -0.1221) X_595 = 2nd HATZIPOLAKIS-YIU POINT (0.6456, 0.3307) X_2922 = TANGENTIAL-ISOGONAL CONJUGATE OF X(10) (0.4809, 0.0084) A B C X10 X22 X595 X2922 (a, b, c) = (5, 6, 7) | AB = 1

X2922 (TANGENTIAL-ISOGONAL CONJUGATE OF X10) 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): \(42.092049663606\)
▸ Incident Central Lines1 line

{22, 595}