X3088

INTERSECTION OF LINES X2X_3 AND X33X_3086

X3088 = inverse-in-orthocentroidal-circle of X3089
< 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) { 2, 3 }: Euler Line { 32, 3087 }: Central Line L(32, 3087) { 33, 3086 }: Central Line L(33, 3086) { 34, 3085 }: Central Line L(34, 3085) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_4 = ORTHOCENTER (0.6122, 0.3958) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_3087 = INTERSECTION OF LINES X(2)X(95) AND X(4)X(6) (0.6081, 0.3527) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_3086 = INTERSECTION OF LINES X(1)X(2) AND X(4)X(11) (0.6456, 0.3060) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_3085 = INTERSECTION OF LINES X(1)X(2) AND X(4)X(12) (0.5576, 0.2197) X_3088 = INTERSECTION OF LINES X(2)X(3) AND X(33)X(3086) (0.5981, 0.3588) A B C X2 X3 X4 X32 X3087 X33 X3086 X34 X3085 X3088 (a, b, c) = (5, 6, 7) | AB = 1

X3088 (INTERSECTION OF LINES X2X_3 AND X33X_3086) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\sec A + \sin B \sin C : :\)
Barycentrics: \(1 + \sec A \csc B \csc C : :\)
Search Value (6, 9, 13): \(168.696563315206\)
▸ Incident Central Lines4 lines

{2, 3}, {32, 3087}, {33, 3086}, {34, 3085}

▸ Functional Relations2 relations

Notes

As a point on the Euler line, X3088 has Shinagawa coefficients \((F,E)\).