X1242

ISOGONAL CONJUGATE OF X1005

X1242 is the isogonal conjugate of X1005.
< 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) { 72, 527 }: Central Line L(72, 527) { 71, 1155 }: Central Line L(71, 1155) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1005 = INTERCEPT OF EULER LINE AND LINE X(9)X(100) (0.5199, 0.1541) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_527 = DIRECTION OF VECTOR AX + BX + CX, where X = X(7) (0.8698, 0.6836) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_1155 = SCHRÖDER POINT (1.7143, 2.3328) X_1242 = ISOGONAL CONJUGATE OF X(1005) (0.6074, 0.3216) A B C X1005 X72 X527 X71 X1155 X1242 (a, b, c) = (5, 6, 7) | AB = 1

X1242 (ISOGONAL CONJUGATE OF X1005) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as in X1005
Search Value (6, 9, 13): \(-0.059196195261\)
▸ Incident Central Lines2 lines

{71, 1155}, {72, 527}

▸ Functional Relations1 relation