X1366

BRISSE TRANSFORM OF X111

< 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) { 7, 1365 }: Central Line L(7, 1365) { 553, 1358 }: Central Line L(553, 1358) { 222, 1367 }: Central Line L(222, 1367) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_7 = GERGONNE POINT (0.5903, 0.2769) X_1365 = BRISSE TRANSFORM OF X(110) (0.7771, 0.1231) X_553 = POINT MAIA II (0.5963, 0.2857) X_1358 = BRISSE TRANSFORM OF X(101) (0.7869, 0.1440) X_222 = -CEVA CONJUGATE OF X(56) (0.5653, 0.1568) X_1367 = BRISSE TRANSFORM OF X(112) (0.6451, 0.0119) X_1366 = BRISSE TRANSFORM OF X(111) (0.4238, 0.4139) A B C X7 X1365 X553 X1358 X222 X1367 X1366 (a, b, c) = (5, 6, 7) | AB = 1

X1366 (BRISSE TRANSFORM OF X111) 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 = X111
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.587550902610\)

X1366 lies on the incircle.

▸ Incident Central Lines3 lines

{7, 1365}, {222, 1367}, {553, 1358}