X1101

TRILINEAR SQUARE OF X110

X1101 = isogonal conjugate of X1109
< 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) { 59, 60 }: Central Line L(59, 60) { 163, 798 }: Central Line L(163, 798) { 656, 662 }: Central Line L(656, 662) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1109 = TRILINEAR SQUARE OF X(523) (0.7246, 0.0705) X_59 = ISOGONAL CONJUGATE OF X(11) (0.5333, 0.4355) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_798 = CROSSDIFFERENCE OF X(1) AND X(75) (-13.4299, 10.5763) X_656 = CROSSDIFFERENCE OF X(1) AND X(19) (7.5714, -0.8554) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_1101 = TRILINEAR SQUARE OF X(110) (0.5344, 0.4306) A B C X1109 X59 X60 X163 X798 X656 X662 X1101 (a, b, c) = (5, 6, 7) | AB = 1

X1101 (TRILINEAR SQUARE OF X110) 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 \(f(A,B,C) = \csc^{2}(B - C)\)
Barycentrics: \(g(A,B,C) : g(B,C,A) : g(C,A,B)\), where \(g(A,B,C) = (\sin A) f(A,B,C)\)
Search Value (6, 9, 13): \(0.190651056977\)
▸ Incident Central Lines3 lines

{59, 60}, {163, 798}, {656, 662}

▸ Functional Relations6 relations