X1539

ORTHOJOIN OF X50

X1539 = orthopole of PU(5)
< 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) { 4, 94 }: Central Line L(4, 94) { 30, 113 }: Central Line L(30, 113) { 74, 381 }: Central Line L(74, 381) { 110, 382 }: Central Line L(110, 382) { 125, 546 }: Central Line L(125, 546) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_94 = ISOGONAL CONJUGATE OF X(50) (0.9069, -0.1331) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_113 = JERABEK ANTIPODE (0.4319, 0.4718) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_381 = MIDPOINT OF X(2) AND X(4) (0.5748, 0.2979) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_382 = REFLECTION OF CIRCUMCENTER IN ORTHOCENTER (0.7245, 0.6894) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_546 = MIDPOINT OF X(4) AND X(5) (0.5842, 0.3223) X_1539 = ORTHOJOIN OF X(50) (0.4881, 0.6186) A B C X4 X94 X30 X113 X74 X381 X110 X382 X125 X546 X1539 (a, b, c) = (5, 6, 7) | AB = 1

X1539 (ORTHOJOIN OF X50) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1512)
Search Value (6, 9, 13): \(-8.614019370974\)
▸ Incident Central Lines6 lines

{4, 94}, {5, 2777}, {30, 113}, {74, 381}, {110, 382}, {125, 546}

▸ Functional Relations2 relations