X3561

SS(sin A → cos A) OF X595

X3561 = crosssum of X2310 and X2501
< 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) { 20, 109 }: Central Line L(20, 109) { 225, 412 }: Central Line L(225, 412) { 3, 1425 }: Central Line L(3, 1425) { 377, 1771 }: Central Line L(377, 1771) { 1259, 1331 }: Central Line L(1259, 1331) 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_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_412 = EULER X(29)-2nd-SUBSTITUTION POINT (0.6482, 0.4899) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1425 = -BETH CONJUGATE OF X(201) (0.5904, 0.1922) X_377 = EULER LINE INTERCEPT OF LINE X(7)X(8) (0.5473, 0.2258) X_1771 = MIMOSA TRANSFORM OF X(947) (0.6455, 0.3693) X_1259 = ISOGONAL CONJUGATE OF X(1118) (0.3105, 0.0160) X_1331 = ORTHOCORRESPONDENT OF X(101) (-0.2308, 0.2512) X_3561 = SS(sin A → cos A) OF X(595) (0.3823, -0.0152) A B C X1 X21 X20 X109 X225 X412 X3 X1425 X377 X1771 X1259 X1331 X3561 (a, b, c) = (5, 6, 7) | AB = 1

X3561 (SS(sin A → cos A) OF X595) 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 \(f(A,B,C) = (\cos A)(\cos^{2} A - \cos B \cos C + \cos C \cos A + \cos A \cos B)\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(2.445899221943\)
▸ Incident Central Lines8 lines

{1, 21}, {3, 1425}, {20, 109}, {225, 412}, {377, 1771}, {1040, 3215}, {1092, 1813}, {1259, 1331}

▸ Functional Relations1 relation