X1052

X244-CEVA CONJUGATE OF X1

X1052 = X244-Ceva conjugate of X1
< 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, 517 }: Central Line L(238, 517) { 1, 765 }: Central Line L(1, 765) { 513, 1054 }: Central Line L(513, 1054) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_1 = INCENTER (0.5714, 0.2333) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_765 = CEVAPOINT OF X(1) AND X(100) (0.4286, 0.3110) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_1054 = 6th SHARYGIN POINT (1.4286, -0.2333) X_1052 = -CEVA CONJUGATE OF X(1) (0.8571, 0.0778) A B C X244 X1 X238 X517 X765 X513 X1054 X1052 (a, b, c) = (5, 6, 7) | AB = 1

X1052 (X244-CEVA CONJUGATE OF X1) 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 \(f(a,b,c) = -u^{2} + v^{2} + w^{2} + vw + wu + uv\),\(u : v : w\) = X100
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = af(a,b,c)\)
Search Value (6, 9, 13): \(2.290247102043\)
▸ Incident Central Lines3 lines

{1, 765}, {238, 517}, {513, 1054}

▸ Functional Relations1 relation