X1535

ORTHOJOIN OF X41

< 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, 7 }: Central Line L(4, 7) { 117, 515 }: Central Line L(117, 515) { 151, 517 }: Central Line L(151, 517) 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_7 = GERGONNE POINT (0.5903, 0.2769) X_117 = MIDPOINT OF X(4) AND X(109) (0.4879, 0.4948) X_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_151 = REFLECTION OF X(20) IN X(109) (0.3395, 1.3793) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_1535 = ORTHOJOIN OF X(41) (1.0278, 2.6438) A B C X4 X7 X117 X515 X151 X517 X1535 (a, b, c) = (5, 6, 7) | AB = 1

X1535 (ORTHOJOIN OF X41) 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): \(-9.790709391134\)
▸ Incident Central Lines3 lines

{4, 7}, {117, 515}, {151, 517}