X1550

ORTHOJOIN OF X110

X1550 = orthopole of line X115X125
< 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) { 30, 74 }: Central Line L(30, 74) { 98, 230 }: Central Line L(98, 230) { 4, 1499 }: Central Line L(4, 1499) { 542, 1551 }: Central Line L(542, 1551) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_98 = TARRY POINT (0.8891, -0.2281) X_230 = -CEVA CONJUGATE OF X(114) (0.9746, 0.6698) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1499 = POINT BIHAM (0.1078, 0.5997) X_542 = DIRECTION OF VECTOR AX + BX + CX, where X = X(98) (0.1649, 0.6534) X_1551 = ORTHOJOIN OF X(111) (0.6353, 0.4562) X_1550 = ORTHOJOIN OF X(110) (0.9211, 0.1083) A B C X30 X74 X98 X230 X4 X1499 X542 X1551 X1550 (a, b, c) = (5, 6, 7) | AB = 1

X1550 (ORTHOJOIN OF X110) 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): \(-5.178918136858\)
▸ Incident Central Lines4 lines

{4, 1499}, {30, 74}, {98, 230}, {542, 1551}

▸ Functional Relations1 relation