X2383

CIR(X539)

X2383 = X1154-cross conjugate of X4
< 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) { 4, 128 }: Central Line L(4, 128) { 52, 110 }: Central Line L(52, 110) { 5, 925 }: Central Line L(5, 925) { 24, 933 }: Central Line L(24, 933) { 186, 1291 }: Central Line L(186, 1291) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1154 = ISOGONAL CONJUGATE OF X(1141) (0.8932, 0.6667) X_4 = ORTHOCENTER (0.6122, 0.3958) X_128 = -OF-ORTHIC-TRIANGLE (0.3310, 0.3690) X_52 = ORTHOCENTER OF ORTHIC TRIANGLE (0.7155, 0.4580) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_925 = ANTICOMPLEMENT OF X(136) (0.0074, -0.0312) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6627, 0.5278) X_933 = -CROSS CONJUGATE OF X(250) (0.4754, 0.6118) X_186 = INVERSE-IN-CIRCUMCIRCLE OF X(4) (0.7957, 0.8758) X_1291 = COLLINGS TRANSFORM OF X(50) (0.9957, -0.0194) X_2383 = CIR(X(539)) (0.8969, 0.4229) A B C X1154 X4 X128 X52 X110 X5 X925 X24 X933 X186 X1291 X2383 (a, b, c) = (5, 6, 7) | AB = 1

X2383 (CIR(X539)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\tan A)/((\cos B) (4 \sin^{2} C - 1) (\cos A \sin B - \sin A \cos B) - (\cos C) (4 \sin^{2} B - 1) (\cos C \sin A - \sin C \cos A)) : :\)
Search Value (6, 9, 13): \(0.942932324644\)

X2383 lies on the circumcircle.

▸ Incident Central Lines5 lines

{4, 128}, {5, 925}, {24, 933}, {52, 110}, {186, 1291}

▸ Functional Relations4 relations