X358

2nd MORLEY-TAYLOR-MARR CENTER

X358 is the perspector of the adjunct Morley triangle and ABC, and also the Hofstadter 2/3 point.
< 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) { 356, 357 }: Central Line L(356, 357) { 16, 1135 }: Central Line L(16, 1135) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_357 = 1st MORLEY-TAYLOR-MARR CENTER (0.5757, 0.2422) X_356 = MORLEY CENTER (0.5727, 0.2361) X_16 = 2nd ISODYNAMIC POINT (1.8453, 2.3239) X_1135 = 4th MORLEY-TAYLOR-MARR CENTER (0.5834, 0.2515) X_358 = 2nd MORLEY-TAYLOR-MARR CENTER (0.5670, 0.2245) A B C X357 X356 X16 X1135 X358 (a, b, c) = (5, 6, 7) | AB = 1

X358 (2nd MORLEY-TAYLOR-MARR CENTER) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\cos A/3 : \cos B/3 : \cos C/3\)
Barycentrics: \(\sin A \cos A/3 : \sin B \cos B/3 : \sin C \cos C/3\)
Search Value (6, 9, 13): \(1.894018594196\)
▸ Incident Central Lines2 lines

{356, 357}, {16, 1135}

▸ Functional Relations2 relations