X939

ISOGONAL CONJUGATE OF X938

X939 is the isogonal conjugate of X938.
< 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) { 34, 55 }: Central Line L(34, 55) { 56, 212 }: Central Line L(56, 212) { 3, 269 }: Central Line L(3, 269) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_938 = ANTICOMPLEMENT OF X(936) (0.5846, 0.2462) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_212 = -CEVA CONJUGATE OF X(41) (0.4719, 0.0786) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_269 = ISOGONAL CONJUGATE OF X(200) (0.6369, 0.3847) X_939 = ISOGONAL CONJUGATE OF X(938) (0.5573, 0.2204) A B C X938 X34 X55 X56 X212 X3 X269 X939 (a, b, c) = (5, 6, 7) | AB = 1

X939 (ISOGONAL CONJUGATE OF X938) 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 \(f(a,b,c) = a/[a^{4} - 2a^{3}(b + c) - 4a^{2}bc + (b - c)(b^{2} - c^{2})(2a - b - c)]\)
Search Value (6, 9, 13): \(1.872877162585\)
▸ Alternate Coordinates1 form

  • Trilinears: \(\sec A' : :\), where A' is the angle formed by the tangents from the A-excenter to the incircle

▸ Incident Central Lines3 lines

{3, 269}, {34, 55}, {56, 212}

▸ Functional Relations1 relation