X2172

X2-ISOCONJUGATE OF X66

X2172 = isogonal conjugate of isotomic conjugate of X1760
< 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) { 1, 19 }: Central Line L(1, 19) { 78, 101 }: Central Line L(78, 101) { 163, 255 }: Central Line L(163, 255) { 41, 386 }: Central Line L(41, 386) { 304, 662 }: Central Line L(304, 662) { 47, 1755 }: Central Line L(47, 1755) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1760 = MIMOSA TRANSFORM OF X(305) (0.3719, -0.0901) X_1 = INCENTER (0.5714, 0.2333) X_19 = CLAWSON POINT (0.6246, 0.4244) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_386 = INVERSE-IN-BROCARD-CIRCLE OF X(58) (0.5912, 0.2526) X_304 = ISOTOMIC CONJUGATE OF X(19) (0.3683, 0.0513) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_47 = -BETH CONJUGATE OF X(34) (0.7279, 0.4389) X_1755 = MIMOSA TRANSFORM OF X(287) (1.5943, 2.3982) X_2172 = -ISOCONJUGATE OF X(66) (0.4601, -0.1665) A B C X1760 X1 X19 X78 X101 X163 X255 X41 X386 X304 X662 X47 X1755 X2172 (a, b, c) = (5, 6, 7) | AB = 1

X2172 (X2-ISOCONJUGATE OF X66) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X66
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-2.718897005439\)
▸ Incident Central Lines12 lines

{1, 19}, {31, 1917}, {41, 386}, {47, 1755}, {78, 101}, {91, 1910}, {163, 255}, {304, 662}, {379, 2140}, {1479, 2201}, {1725, 2083}, {1930, 1958}

▸ Functional Relations6 relations