X1355

BRISSE TRANSFORM OF X98

< 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) { 56, 741 }: Central Line L(56, 741) { 222, 1363 }: Central Line L(222, 1363) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_741 = EVEN (- 1, 1) CIRCUMCIRCLE POINT (1.0071, 0.0451) X_222 = -CEVA CONJUGATE OF X(56) (0.5653, 0.1568) X_1363 = BRISSE TRANSFORM OF X(107) (0.6026, 0.0021) X_1355 = BRISSE TRANSFORM OF X(98) (0.4939, 0.4533) A B C X56 X741 X222 X1363 X1355 (a, b, c) = (5, 6, 7) | AB = 1

X1355 (BRISSE TRANSFORM OF X98) 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) is as above X1354, using X = X98
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.198337245950\)

X1355 lies on the incircle.

▸ Incident Central Lines2 lines

{56, 741}, {222, 1363}