X2109

X2-ISOCONJUGATE OF X2108

X2109 = isogonal conjugate of X33888
< 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) { 238, 1575 }: Central Line L(238, 1575) { 1914, 2112 }: Central Line L(1914, 2112) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_1575 = EXSIMILICENTER OF SPIEKER AND (1/2)-MOSES CIRCLES (2.5675, 1.8684) X_1914 = CROSSDIFFERENCE OF PU(10) (1.1181, 1.0304) X_2112 = POINT KEPLER IV (-0.0981, 0.7800) X_2109 = -ISOCONJUGATE OF X(2108) (-0.0481, 0.7903) A B C X238 X1575 X1914 X2112 X2109 (a, b, c) = (5, 6, 7) | AB = 1

X2109 (X2-ISOCONJUGATE OF X2108) 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 \(f(a,b,c) = a/[(b + c)a^{3} - (b^{2} - bc + c^{2})a^{2} - (b + c)(b^{2} + c^{2})a + bc(b^{2} + bc + c^{2})]\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.991482975484\)
▸ Incident Central Lines2 lines

{238, 1575}, {1914, 2112}

▸ Functional Relations4 relations