X2271

X2-ISOCONJUGATE OF X969

< 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) { 3, 6 }: Brocard Axis { 25, 41 }: Central Line L(25, 41) { 55, 213 }: Central Line L(55, 213) { 220, 1500 }: Central Line L(220, 1500) { 405, 2238 }: Central Line L(405, 2238) { 1191, 2241 }: Central Line L(1191, 2241) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_220 = -CEVA CONJUGATE OF X(55) (0.4826, 0.1278) X_1500 = INSIMILICENTER OF MOSES CIRCLE AND INCIRCLE (0.5747, 0.2319) X_405 = EULER LINE INTERCEPT OF LINE X(1)X(6) (0.5325, 0.1870) X_2238 = -ISOCONJUGATE OF X(741) (2.2505, 2.0410) X_1191 = 2nd SARAGOSSA POINT OF X(56) (0.6211, 0.2922) X_2241 = -ISOCONJUGATE OF X(749) (0.4799, 0.0999) X_2271 = -ISOCONJUGATE OF X(969) (0.5872, 0.2461) A B C X3 X6 X25 X41 X55 X213 X220 X1500 X405 X2238 X1191 X2241 X2271 (a, b, c) = (5, 6, 7) | AB = 1

X2271 (X2-ISOCONJUGATE OF X969) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\cos A + \sin A (\csc A + \csc B + \csc C) : :\)
Search Value (6, 9, 13): \(1.335561224583\)
▸ Incident Central Lines12 lines

{3, 6}, {25, 41}, {55, 213}, {218, 2276}, {220, 1500}, {405, 2238}, {941, 2287}, {1191, 2241}, {1193, 2280}, {1334, 2177}, {1460, 2304}, {2207, 2332}