X955

ISOGONAL CONJUGATE OF X954

X955 is the isogonal conjugate of X954.
< 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) { 278, 354 }: Central Line L(278, 354) { 279, 942 }: Central Line L(279, 942) { 57, 991 }: Central Line L(57, 991) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_954 = INTERSECTION OF LINES X(1)X(6) AND X(3)X(7) (0.5619, 0.2220) X_278 = ISOGONAL CONJUGATE OF X(219) (0.6278, 0.4577) X_354 = WEILL POINT (0.5823, 0.2533) X_279 = ISOGONAL CONJUGATE OF X(220) (0.6236, 0.3540) X_942 = INCIRCLE-INVERSE OF X(36) (0.5878, 0.2633) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_991 = INTERSECTION OF LINES X(1)X(7) AND X(3)X(6) (0.5514, 0.1870) X_955 = ISOGONAL CONJUGATE OF X(954) (0.5804, 0.2446) A B C X954 X278 X354 X279 X942 X57 X991 X955 (a, b, c) = (5, 6, 7) | AB = 1

X955 (ISOGONAL CONJUGATE OF X954) 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 \(f(a,b,c) = 1/[a^{5} + (b + c)[2a^{2}(b^{2} + c^{2} - a^{2} + bc) - (b - c)^{2}(2bc + ab + ac)]]\)
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = af(a,b,c)\)
Search Value (6, 9, 13): \(1.524901641842\)
▸ Incident Central Lines3 lines

{57, 991}, {278, 354}, {279, 942}

▸ Functional Relations1 relation