X2530

RADICAL CENTER OF {BROCARD, BEVAN, (X4,2R)} CIRCLES

X2530 = reflection of X667 and X905
< 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) { 667, 905 }: Central Line L(667, 905) { 36, 238 }: Central Line L(36, 238) { 10, 514 }: Central Line L(10, 514) { 661, 665 }: Central Line L(661, 665) { 693, 784 }: Central Line L(693, 784) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_667 = CROSSDIFFERENCE OF X(2) AND X(37) (-6.1667, 5.7155) X_905 = POINT ACHERNAR (5.6190, -0.6999) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_661 = CROSSDIFFERENCE OF X(1) AND X(21) (48.4286, -23.0952) X_665 = CROSSDIFFERENCE OF X(2) AND X(11) (1.4579, 1.0988) X_693 = ISOTOMIC CONJUGATE OF X(100) (-25.8163, 8.9981) X_784 = ODD (- 3, - 2) INFINITY POINT (-0.0125, 0.4050) X_2530 = RADICAL CENTER OF {BROCARD, BEVAN, (X(4),2R)} CIRCLES (17.4048, -7.1152) A B C X667 X905 X36 X238 X10 X514 X661 X665 X693 X784 X2530 (a, b, c) = (5, 6, 7) | AB = 1

X2530 (RADICAL CENTER OF {BROCARD, BEVAN, (X4,2R)} CIRCLES) 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 \(f(a,b,c) = (b - c)(b^{2} + c^{2})\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-20.122720350679\)
▸ Incident Central Lines9 lines

{10, 514}, {36, 238}, {512, 2254}, {649, 2521}, {661, 665}, {663, 1201}, {693, 784}, {826, 2474}, {832, 1459}

▸ Functional Relations3 relations