X911

POINT ADHARA

X911 = barycentric product X1*X103
< 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) { 3, 101 }: Central Line L(3, 101) { 241, 294 }: Central Line L(241, 294) { 41, 603 }: Central Line L(41, 603) { 56, 607 }: Central Line L(56, 607) { 48, 692 }: Central Line L(48, 692) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_241 = -LINE CONJUGATE OF X(55) (1.1217, 1.2442) X_294 = ISOGONAL CONJUGATE OF X(241) (0.9276, -0.0575) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_603 = -CEVA CONJUGATE OF X(56) (0.5992, 0.1851) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_607 = ISOGONAL CONJUGATE OF X(348) (0.6187, 0.3865) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_911 = POINT ADHARA (0.8698, -0.4452) A B C X3 X101 X241 X294 X41 X603 X56 X607 X48 X692 X911 (a, b, c) = (5, 6, 7) | AB = 1

X911 (POINT ADHARA) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/[wb^{2} + vc^{2} - a(wb + vc)] : :\), where \(u : v : w\) = X3
Barycentrics: \(a^{3} / (2 a^{3} - a^{2} (b + c) - (b - c)^{2} (b + c)) : :\)
Search Value (6, 9, 13): \(-9.547816221640\)
▸ Incident Central Lines5 lines

{3, 101}, {41, 603}, {48, 692}, {56, 607}, {241, 294}

▸ Functional Relations6 relations