X2229

X2-ISOCONJUGATE OF X715

< 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, 39 }: Central Line L(2, 39) { 44, 513 }: Central Line L(44, 513) { 42, 2295 }: Central Line L(42, 2295) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_2295 = -ISOCONJUGATE OF X(1178) (0.5682, 0.2347) X_2229 = -ISOCONJUGATE OF X(715) (2.6684, 1.8135) A B C X2 X39 X44 X513 X42 X2295 X2229 (a, b, c) = (5, 6, 7) | AB = 1

X2229 (X2-ISOCONJUGATE OF X715) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X715
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-8.815523065433\)
▸ Incident Central Lines3 lines

{2, 39}, {42, 2295}, {44, 513}