X1424

X194-BETH CONJUGATE OF X194

X1424 = X604-Ceva conjugate of X57
< 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) { 57, 85 }: Central Line L(57, 85) { 56, 87 }: Central Line L(56, 87) { 222, 1429 }: Central Line L(222, 1429) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_194 = -CEVA CONJUGATE OF X(2) (0.6989, 0.3222) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_85 = ISOTOMIC CONJUGATE OF X(9) (0.5610, 0.2421) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_87 = -CROSS CONJUGATE OF X(1) (0.4794, 0.1691) X_222 = -CEVA CONJUGATE OF X(56) (0.5653, 0.1568) X_1429 = -BETH CONJUGATE OF X(239) (0.9040, 0.8443) X_1424 = -BETH CONJUGATE OF X(194) (0.6912, 0.4122) A B C X194 X57 X85 X56 X87 X222 X1429 X1424 (a, b, c) = (5, 6, 7) | AB = 1

X1424 (X194-BETH CONJUGATE OF X194) 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 \(f(a,b,c) = (1 - \cos A)u(a,b,c)\), where \(u : v : w\) = X194
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.118265073583\)
▸ Incident Central Lines3 lines

{56, 87}, {57, 85}, {222, 1429}

▸ Functional Relations1 relation