X2533

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

X2533 = crosspoint of X10 and X668
< 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) { 10, 514 }: Central Line L(10, 514) { 65, 879 }: Central Line L(65, 879) { 523, 656 }: Central Line L(523, 656) { 649, 814 }: Central Line L(649, 814) { 512, 1577 }: Central Line L(512, 1577) { 784, 1734 }: Central Line L(784, 1734) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_668 = TRILINEAR POLE OF LINE X(2)X(37) (0.0159, 0.3302) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_879 = ISOTOMIC CONJUGATE OF X(877) (1.2088, 0.0345) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_656 = CROSSDIFFERENCE OF X(1) AND X(19) (7.5714, -0.8554) X_649 = CROSSDIFFERENCE OF X(1) and X(2) (-21.0000, 14.6969) X_814 = ODD (- 1, 2) INFINITY POINT (1.1242, 0.2110) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_1577 = ISOGONAL CONJUGATE OF X(163) (-17.7211, 5.4989) X_784 = ODD (- 3, - 2) INFINITY POINT (-0.0125, 0.4050) X_1734 = MIMOSA TRANSFORM OF X(101) (10.6667, -1.6330) X_2533 = RADICAL CENTER OF {BEVAN, FUHRMANN, (X(4),2R)} CIRCLES (-32.5544, 14.4803) A B C X10 X668 X514 X65 X879 X523 X656 X649 X814 X512 X1577 X784 X1734 X2533 (a, b, c) = (5, 6, 7) | AB = 1

X2533 (RADICAL CENTER OF {BEVAN, FUHRMANN, (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 \(f(a,b,c) = bc(b^{2} - c^{2})(a^{2} + bc)\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(45.155384466924\)
▸ Incident Central Lines6 lines

{10, 514}, {65, 879}, {512, 1577}, {523, 656}, {649, 814}, {784, 1734}

▸ Functional Relations2 relations