X801

ISOGONAL CONJUGATE OF X800

X801 is the isogonal conjugate of X800.
< 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) { 10, 775 }: Central Line L(10, 775) { 4, 1092 }: Central Line L(4, 1092) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_800 = CROSSPOINT OF X(2) AND X(64) (0.6501, 0.3499) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_775 = ISOGONAL CONJUGATE OF X(774) (0.4699, 0.1510) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1092 = TRILINEAR CUBE OF X(3) (0.3503, 0.0118) X_801 = ISOGONAL CONJUGATE OF X(800) (0.4263, 0.1232) A B C X800 X10 X775 X4 X1092 X801 (a, b, c) = (5, 6, 7) | AB = 1

X801 (ISOGONAL CONJUGATE OF X800) 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 \(f(A,B,C) = (\csc A)/(\cos^{2} B + \cos^{2} C)\)
Barycentrics: \(1/(a^{4} (b^{2} + c^{2}) - 2 a^{2} (b^{2} - c^{2})^{2} + (b^{2} - c^{2})^{2} (b^{2} + c^{2})) : :\)
Search Value (6, 9, 13): \(3.291163117829\)
▸ Incident Central Lines2 lines

{4, 1092}, {10, 775}

▸ Functional Relations6 relations