← etc / Encyclopedia of Triangle Centers X2055–X2119 · Orion Transforms, Circumcircle Inverses, PK/NK Transforms, Reflections & Kepler Points / X_2059 ← Prev Overview · Code Next → X2059¶ ORION TRANSFORM OF X16 5, 6, 7 3, 4, 5 Kepler Kimberling < 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) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2059 = ORION TRANSFORM OF X(16) (1.0560, 0.8630) A B C X2059 (a, b, c) = (5, 6, 7) | AB = 1 < 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) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6400, 0.4800) X_2059 = ORION TRANSFORM OF X(16) (0.8952, 0.5284) A B C X2059 (a, b, c) = (3, 4, 5) | AB = 1 < 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) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6180, 0.4859) X_2059 = ORION TRANSFORM OF X(16) (0.8249, 0.4958) A B C X2059 Kepler (1, √φ, φ) | AB = 1 < 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) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6331, 0.2801) X_2059 = ORION TRANSFORM OF X(16) (0.7323, 0.1912) A B C X2059 Kimberling (6, 9, 13) | AB = 1 X2059 (ORION TRANSFORM OF X16) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶ Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is given just above X2055, using X = X16 Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\) Search Value (6, 9, 13): \(0.135157360161\)
