X2767

SR(X108, X111)

X2767 = isogonal conjugate of X2851
< 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) { 108, 524 }: Central Line L(108, 524) { 111, 521 }: Central Line L(111, 521) { 691, 1812 }: Central Line L(691, 1812) { 1295, 1499 }: Central Line L(1295, 1499) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2851 = ISOGONAL CONJUGATE OF X(2767) (0.2026, 0.6819) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_111 = PARRY POINT (0.9885, -0.0457) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_691 = TRILINEAR POLE OF LINE X(6)X(110) (1.0101, 0.0886) X_1812 = INVERSE MIMOSA TRANSFORM OF X(573) (0.4032, 0.0557) X_1295 = COLLINGS TRANSFORM OF X(123) (0.4680, -0.4072) X_1499 = POINT BIHAM (0.1078, 0.5997) X_2767 = SR(X(108), X(111)) (-0.0057, 0.0335) A B C X2851 X108 X524 X111 X521 X691 X1812 X1295 X1499 X2767 (a, b, c) = (5, 6, 7) | AB = 1

X2767 (SR(X108, X111)) 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 given just before X2677 using P = X108, U = X111
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(10.216809242472\)

X2767 lies on the circumcircle.

▸ Incident Central Lines4 lines

{108, 524}, {111, 521}, {691, 1812}, {1295, 1499}

▸ Functional Relations1 relation