X1553

ORTHOJOIN OF X115

< 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, 113 }: Central Line L(30, 113) { 4, 250 }: Central Line L(4, 250) { 146, 476 }: Central Line L(146, 476) { 1522, 1523 }: Central Line L(1522, 1523) 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_113 = JERABEK ANTIPODE (0.4319, 0.4718) X_4 = ORTHOCENTER (0.6122, 0.3958) X_250 = ISOGONAL CONJUGATE OF X(125) (0.5892, 0.5347) X_146 = REFLECTION OF X(20) IN X(110) (0.1155, 1.2873) X_476 = TIXIER POINT (0.9824, 0.2685) X_1522 = ORTHOJOIN OF X(13) (3.2645, -4.0957) X_1523 = ORTHOJOIN OF X(14) (0.6538, 0.5898) X_1553 = ORTHOJOIN OF X(115) (0.5489, 0.7779) A B C X30 X113 X4 X250 X146 X476 X1522 X1523 X1553 (a, b, c) = (5, 6, 7) | AB = 1

X1553 (ORTHOJOIN OF X115) 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): \(-8.726369111604\)
▸ Incident Central Lines4 lines

{4, 250}, {30, 113}, {146, 476}, {1522, 1523}