X2895

ANTICOMPLEMENTARY CONJUGATE OF X75

X2895 = reflection of X81 in X1211
< 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) { 81, 1211 }: Centroid–Symmedian Line { 2, 6 }: Centroid–Symmedian Line { 8, 79 }: Central Line L(8, 79) { 319, 321 }: Central Line L(319, 321) { 314, 1230 }: Central Line L(314, 1230) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_1211 = ISOGONAL CONJUGATE OF X(1169) (0.5137, 0.1744) X_2 = CENTROID (0.5374, 0.2000) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_8 = NAGEL POINT (0.4694, 0.1333) X_79 = ISOGONAL CONJUGATE OF X(35) (0.5976, 0.3019) X_319 = ISOTOMIC CONJUGATE OF X(79) (0.4549, 0.1161) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_314 = ISOTOMIC CONJUGATE OF X(65) (0.4457, 0.1206) X_1230 = ISOTOMIC CONJUGATE OF X(1171) (0.4472, 0.1317) X_2895 = ANTICOMPLEMENTARY CONJUGATE OF X(75) (0.4425, 0.0979) A B C X81 X1211 X2 X6 X8 X79 X319 X321 X314 X1230 X2895 (a, b, c) = (5, 6, 7) | AB = 1

X2895 (ANTICOMPLEMENTARY CONJUGATE OF X75) 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 described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(5.220781499976\)
▸ Incident Central Lines8 lines

{2, 6}, {8, 79}, {144, 2897}, {314, 1230}, {319, 321}, {329, 2893}, {445, 2322}, {451, 2906}

▸ Functional Relations8 relations