X929

ISOGONAL CONJUGATE OF X928

X929 is the isogonal conjugate of X928.
< 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) { 102, 516 }: Central Line L(102, 516) { 103, 515 }: Central Line L(103, 515) { 101, 522 }: Central Line L(101, 522) { 109, 514 }: Central Line L(109, 514) { 242, 915 }: Central Line L(242, 915) { 885, 919 }: Central Line L(885, 919) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_928 = CROSSDIFFERENCE OF X(6) AND X(11) (1.0703, 0.4459) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_242 = -LINE CONJUGATE OF X(71) (0.7507, 0.7161) X_915 = ISOGONAL CONJUGATE OF X(912) (0.9488, 0.3450) X_885 = ISOTOMIC CONJUGATE OF X(883) (1.0518, 0.0256) X_919 = ISOGONAL CONJUGATE OF X(918) (1.0058, 0.1699) X_929 = ISOGONAL CONJUGATE OF X(928) (0.9516, 0.3396) A B C X928 X102 X516 X103 X515 X101 X522 X109 X514 X242 X915 X885 X919 X929 (a, b, c) = (5, 6, 7) | AB = 1

X929 (ISOGONAL CONJUGATE OF X928) 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 \(f(a,b,c) = 1/(bw - cv)\),\(u : v : w\) = X11
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = af(a,b,c)\)
Search Value (6, 9, 13): \(0.310952857477\)

X929 lies on the circumcircle.

▸ Incident Central Lines6 lines

{101, 522}, {102, 516}, {103, 515}, {109, 514}, {242, 915}, {885, 919}

▸ Functional Relations3 relations