X2057

ORION TRANSFORM OF X8

X2057 = perspector of ABC and orthic triangle of extouch triangle
< 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) { 1, 2 }: Nagel Line { 84, 1259 }: Central Line L(84, 1259) { 100, 1490 }: Central Line L(100, 1490) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_2 = CENTROID (0.5374, 0.2000) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_1259 = ISOGONAL CONJUGATE OF X(1118) (0.3105, 0.0160) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1490 = ∩X(3)X(9) (0.3929, -0.4775) X_2057 = ORION TRANSFORM OF X(8) (0.2802, -0.0521) A B C X1 X2 X84 X1259 X100 X1490 X2057 (a, b, c) = (5, 6, 7) | AB = 1

X2057 (ORION TRANSFORM OF X8) 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) is given just above X2055, using X = X8
Search Value (6, 9, 13): \(5.505360395774\)
▸ Incident Central Lines3 lines

{1, 2}, {84, 1259}, {100, 1490}

▸ Functional Relations1 relation

  • X2057 = perspector of ABC and orthic triangle of extouch triangle