X344

ISOTOMIC CONJUGATE OF X277

X344 is the isotomic conjugate of X277.
< 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) { 9, 69 }: Central Line L(9, 69) { 45, 141 }: Central Line L(45, 141) { 7, 190 }: Central Line L(7, 190) { 44, 193 }: Central Line L(44, 193) { 144, 320 }: Central Line L(144, 320) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_277 = ISOGONAL CONJUGATE OF X(218) (0.4242, 0.1335) X_2 = CENTROID (0.5374, 0.2000) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_9 = MITTENPUNKT (0.5110, 0.1615) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_45 = -BETH CONJUGATE OF X(1) (0.5418, 0.1981) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_7 = GERGONNE POINT (0.5903, 0.2769) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_193 = -CEVA CONJUGATE OF X(2) (0.7878, 0.4690) X_144 = ANTICOMPLEMENT OF X(7) (0.4317, 0.0461) X_320 = ISOTOMIC CONJUGATE OF X(80) (-2.6735, -3.5993) X_344 = ISOTOMIC CONJUGATE OF X(277) (0.6218, 0.2693) A B C X277 X2 X37 X9 X69 X45 X141 X7 X190 X44 X193 X144 X320 X344 (a, b, c) = (5, 6, 7) | AB = 1

X344 (ISOTOMIC CONJUGATE OF X277) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\csc^{2} A/2)[\cos^{4}(B/2) + \cos^{4}(C/2) - \cos^{4}(A/2)] : :\)
Barycentrics: \(a^{2} + b^{2} + c^{2} - 2 a b - 2 a c : :\)
Search Value (6, 9, 13): \(-1.257524205103\)
▸ Incident Central Lines9 lines

{2, 37}, {7, 190}, {8, 480}, {9, 69}, {44, 193}, {45, 141}, {144, 320}, {264, 281}, {319, 391}

▸ Functional Relations3 relations