X1533

ORTHOJOIN OF X39

X1533 = reflection of X1531 in X1514
< 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) { 1531, 1514 }: Central Line L(1531, 1514) { 4, 83 }: Central Line L(4, 83) { 30, 113 }: Central Line L(30, 113) { 297, 1515 }: Central Line L(297, 1515) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1531 = ORTHOJOIN OF X(32) (0.0445, -0.5419) X_1514 = ORTHOJOIN OF X(3) (0.6818, 1.1255) X_4 = ORTHOCENTER (0.6122, 0.3958) X_83 = CEVAPOINT OF CENTROID AND SYMMEDIAN POINT (0.5651, 0.2360) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_113 = JERABEK ANTIPODE (0.4319, 0.4718) X_297 = -HIRST INVERSE OF X(4) (0.8440, 1.0022) X_1515 = ORTHOJOIN OF X(4) (0.5725, -0.0213) X_1533 = ORTHOJOIN OF X(39) (1.3190, 2.7929) A B C X1531 X1514 X4 X83 X30 X113 X297 X1515 X1533 (a, b, c) = (5, 6, 7) | AB = 1

X1533 (ORTHOJOIN OF X39) 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): \(-12.220457630484\)
▸ Incident Central Lines3 lines

{4, 83}, {30, 113}, {297, 1515}

▸ Functional Relations1 relation