X1135

4th MORLEY-TAYLOR-MARR CENTER

X1135 = perspector of ABC and 3rd Morley adjunct triangle
< 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) { 16, 358 }: Central Line L(16, 358) { 356, 1134 }: Central Line L(356, 1134) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1134 = 3rd MORLEY-TAYLOR-MARR CENTER (0.5584, 0.2154) X_16 = 2nd ISODYNAMIC POINT (1.8453, 2.3239) X_358 = 2nd MORLEY-TAYLOR-MARR CENTER (0.5670, 0.2245) X_356 = MORLEY CENTER (0.5727, 0.2361) X_1135 = 4th MORLEY-TAYLOR-MARR CENTER (0.5834, 0.2515) A B C X1134 X16 X358 X356 X1135 (a, b, c) = (5, 6, 7) | AB = 1

X1135 (4th MORLEY-TAYLOR-MARR CENTER) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\cos(A/3 + 2\pi /3) : :\)
Search Value (6, 9, 13): \(1.326168599431\)
▸ Alternate Coordinates2 forms

  • Trilinears: \(\cos(A/3 - \pi /3) : :\)

  • Trilinears: \(\cos(B/3) \cos(C/3) - \sin(B/3) \sin(C/3) : :\)

▸ Incident Central Lines2 lines

{16, 358}, {356, 1134}

▸ Functional Relations4 relations

Notes

See the reference at X1134.