X914

ISOGONAL CONJUGATE OF X913

X914 is the isogonal conjugate of X913.
< 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) { 63, 69 }: Central Line L(63, 69) { 8, 224 }: Central Line L(8, 224) { 514, 661 }: Central Line L(514, 661) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_913 = POINT AGENA (0.8959, 0.3579) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_8 = NAGEL POINT (0.4694, 0.1333) X_224 = -CEVA CONJUGATE OF X(63) (1.2479, 0.4419) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_661 = CROSSDIFFERENCE OF X(1) AND X(21) (48.4286, -23.0952) X_914 = ISOGONAL CONJUGATE OF X(913) (-2.5447, -1.0613) A B C X913 X63 X69 X8 X224 X514 X661 X914 (a, b, c) = (5, 6, 7) | AB = 1

X914 (ISOGONAL CONJUGATE OF X913) 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 \(f(a,b,c) = [(wb + vc)/a - v - w]/a\),\(u : v : w\) = X4
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): \(5.703555999894\)
▸ Incident Central Lines3 lines

{8, 224}, {63, 69}, {514, 661}

▸ Functional Relations2 relations