X2585

X4-ISOCONJUGATE OF X1114

X2585 = isogonal conjugate of X2587
< 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) { 521, 656 }: Central Line L(521, 656) { 1, 2583 }: Central Line L(1, 2583) { 48, 2579 }: Central Line L(48, 2579) { 73, 2575 }: Central Line L(73, 2575) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2587 = -ISOCONJUGATE OF X(2575) (1.1547, 3.4774) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_656 = CROSSDIFFERENCE OF X(1) AND X(19) (7.5714, -0.8554) X_1 = INCENTER (0.5714, 0.2333) X_2583 = -ISOCONJUGATE OF X(1114) (0.6162, -2.4277) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_2579 = -ISOCONJUGATE OF X(1114) (0.2632, 3.1227) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_2575 = ISOGONAL CONJUGATE OF X(1114) (0.4954, 0.7853) X_2585 = -ISOCONJUGATE OF X(1114) (0.5804, -0.2985) A B C X2587 X521 X656 X1 X2583 X48 X2579 X73 X2575 X2585 (a, b, c) = (5, 6, 7) | AB = 1

X2585 (X4-ISOCONJUGATE OF X1114) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\cos A)/f(a,b,c) : (\cos B)/f(b,c,a) : (\cos C)/f(c,a,b)\), where f(a,b,c) is as at X1114
Barycentrics: \((\sin 2A)/f(a,b,c) : (\sin 2B)/f(b,c,a) : (\sin 2C)/f(c,a,b)\)
Search Value (6, 9, 13): \(2.089991560952\)
▸ Incident Central Lines4 lines

{1, 2583}, {48, 2579}, {73, 2575}, {521, 656}

▸ Functional Relations3 relations