X2129

ISOGONAL CONJUGATE OF X2128

X2129 is the isogonal conjugate of X2128.
< 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) { 19, 2128 }: Central Line L(19, 2128) { 1707, 1973 }: Central Line L(1707, 1973) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_19 = CLAWSON POINT (0.6246, 0.4244) X_2128 = EIGENTRANSFORM OF X(19) (2.3357, 0.7428) X_1707 = MIMOSA TRANSFORM OF X(6) (0.7574, 0.4777) X_1973 = TRILINEAR PRODUCT OF PU(39) (0.6378, 0.4717) X_2129 = ISOGONAL CONJUGATE OF X(2128) (0.9676, 0.4882) A B C X63 X19 X2128 X1707 X1973 X2129 (a, b, c) = (5, 6, 7) | AB = 1

X2129 (ISOGONAL CONJUGATE OF X2128) 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 \(f(a,b,c) = 1/{(b^{2} + c^{2} - a^{2})[(a^{2} + b^{2} + c^{2})^{2} - 8b^{2}c^{2}]}\) (M. Iliev, 5/13/07)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(2.577166202246\)

X2129 lies on the cubic Z(X19).

▸ Incident Central Lines2 lines

{19, 2128}, {1707, 1973}

▸ Functional Relations2 relations