X1221

ISOGONAL CONJUGATE OF X1197

X1221 is the isogonal conjugate of X1197.
< 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) { 43, 75 }: Central Line L(43, 75) { 76, 192 }: Central Line L(76, 192) { 213, 274 }: Central Line L(213, 274) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1197 = 3rd SARAGOSSA POINT OF X(31) (0.6088, 0.2744) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_274 = ISOGONAL CONJUGATE OF X(213) (0.5168, 0.1843) X_1221 = ISOGONAL CONJUGATE OF X(1197) (0.5249, 0.1927) A B C X1197 X43 X75 X76 X192 X213 X274 X1221 (a, b, c) = (5, 6, 7) | AB = 1

X1221 (ISOGONAL CONJUGATE OF X1197) 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 X1197
Search Value (6, 9, 13): \(3.007279728641\)
▸ Incident Central Lines3 lines

{43, 75}, {76, 192}, {213, 274}

▸ Functional Relations3 relations