X1229

ISOTOMIC CONJUGATE OF X1170

X1229 is the isotomic conjugate of X1170.
< 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) { 2, 37 }: Central Line L(2, 37) { 294, 314 }: Central Line L(294, 314) { 1089, 1210 }: Central Line L(1089, 1210) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_2 = CENTROID (0.5374, 0.2000) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_294 = ISOGONAL CONJUGATE OF X(241) (0.9276, -0.0575) X_314 = ISOTOMIC CONJUGATE OF X(65) (0.4457, 0.1206) X_1089 = TRILINEAR SQUARE OF X(10) (0.4606, 0.1381) X_1210 = ISOGONAL CONJUGATE OF X(1167) (0.6144, 0.2754) X_1229 = ISOTOMIC CONJUGATE OF X(1170) (0.4424, 0.1218) A B C X76 X312 X2 X37 X294 X314 X1089 X1210 X1229 (a, b, c) = (5, 6, 7) | AB = 1

X1229 (ISOTOMIC CONJUGATE OF X1170) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/(a^{2}f(a,b,c)) : 1/(b^{2}f(b,c,a)) : 1/(c^{2}f(c,a,b))\), where f(a,b,c) is as in X1170
Barycentrics: \(b c (a - b - c) (b^{2} + c^{2} - a b - a c - 2 b c) : :\)
Search Value (6, 9, 13): \(5.153183141033\)
▸ Incident Central Lines3 lines

{2, 37}, {294, 314}, {1089, 1210}

▸ Functional Relations3 relations