X3562

SS(sin A → cos A) OF X1621

X3562 = crosssum of X647 and X2310
< 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) { 1, 21 }: Central Line L(1, 21) { 40, 77 }: Central Line L(40, 77) { 20, 222 }: Central Line L(20, 222) { 110, 270 }: Central Line L(110, 270) { 8, 394 }: Central Line L(8, 394) { 145, 280 }: Central Line L(145, 280) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_40 = BEVAN POINT (0.4286, -0.0292) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_222 = -CEVA CONJUGATE OF X(56) (0.5653, 0.1568) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_270 = ISOGONAL CONJUGATE OF X(201) (0.6168, 0.3881) X_8 = NAGEL POINT (0.4694, 0.1333) X_394 = -CEVA CONJUGATE OF X(3) (0.3778, 0.0284) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_280 = -CROSS CONJUGATE OF X(8) (0.6379, 0.8041) X_3562 = SS(sin A → cos A) OF X(1621) (0.6711, 0.3643) A B C X1 X21 X40 X77 X20 X222 X110 X270 X8 X394 X145 X280 X3562 (a, b, c) = (5, 6, 7) | AB = 1

X3562 (SS(sin A → cos A) OF X1621) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(A,B,C) : f(B,C,A) : f(C,A,B)\), where \(f(A,B,C) = \cos^{2} A - \cos B \cos C - \cos C \cos A - \cos A \cos B\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(2.689482593051\)
▸ Incident Central Lines20 lines

{1, 21}, {4, 651}, {6, 938}, {8, 394}, {20, 222}, {40, 77}, {65, 775}, {73, 411}, {100, 1771}, {110, 270}, {145, 280}, {221, 962}, {404, 3075}, {416, 820}, {950, 2003}, {1066, 3072}, {1071, 3100}, {1406, 3474}, {1895, 3194}, {1935, 2654}

▸ Functional Relations1 relation