X1223

ISOGONAL CONJUGATE OF X1202

X1223 is the isogonal conjugate of X1202.
< 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, 220 }: Central Line L(7, 220) { 2, 480 }: Central Line L(2, 480) { 75, 728 }: Central Line L(75, 728) { 9, 1038 }: Central Line L(9, 1038) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_9 = MITTENPUNKT (0.5110, 0.1615) X_142 = COMPLEMENT OF X(9) (0.5506, 0.2192) X_7 = GERGONNE POINT (0.5903, 0.2769) X_220 = -CEVA CONJUGATE OF X(55) (0.4826, 0.1278) X_2 = CENTROID (0.5374, 0.2000) X_480 = -CEVA CONJUGATE OF X(220) (0.4089, 0.0793) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_728 = INTERSECTION OF LINES X(8)X(9) AND X(57)X(345) (0.3648, 0.0624) X_1038 = INTERSECTION OF LINES X(1)X(3) AND X(2)X(34) (0.5104, 0.1211) X_1223 = ISOGONAL CONJUGATE OF X(1202) (0.5291, 0.1921) A B C X9 X142 X7 X220 X2 X480 X75 X728 X1038 X1223 (a, b, c) = (5, 6, 7) | AB = 1

X1223 (ISOGONAL CONJUGATE OF X1202) 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 X1202
Search Value (6, 9, 13): \(2.764956907568\)
▸ Incident Central Lines4 lines

{2, 480}, {7, 220}, {9, 1038}, {75, 728}

▸ Functional Relations2 relations