X1261

ISOGONAL CONJUGATE OF X1122

X1261 is the isogonal conjugate of X1122.
< 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) { 8, 56 }: Central Line L(8, 56) { 31, 200 }: Central Line L(31, 200) { 41, 728 }: Central Line L(41, 728) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_8 = NAGEL POINT (0.4694, 0.1333) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_728 = INTERSECTION OF LINES X(8)X(9) AND X(57)X(345) (0.3648, 0.0624) X_1261 = ISOGONAL CONJUGATE OF X(1122) (0.4820, 0.1497) A B C X55 X200 X8 X56 X31 X41 X728 X1261 (a, b, c) = (5, 6, 7) | AB = 1

X1261 (ISOGONAL CONJUGATE OF X1122) 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 X1122)
Search Value (6, 9, 13): \(4.317119802699\)
▸ Incident Central Lines3 lines

{8, 56}, {31, 200}, {41, 728}

▸ Functional Relations2 relations