X3877

X2com[INVERSE(n(4th EULER TRIANGLE))]

< 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) { 1, 21 }: Central Line L(1, 21) { 72, 145 }: Central Line L(72, 145) { 8, 210 }: Central Line L(8, 210) { 2, 392 }: Central Line L(2, 392) { 40, 404 }: Central Line L(40, 404) { 9, 644 }: Central Line L(9, 644) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_8 = NAGEL POINT (0.4694, 0.1333) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_2 = CENTROID (0.5374, 0.2000) X_392 = X(1,6)∩X(10,11) (0.5265, 0.1800) X_40 = BEVAN POINT (0.4286, -0.0292) X_404 = {X(2),X(3)}-HARMONIC CONJUGATE OF X(21) (0.5538, 0.2429) X_9 = MITTENPUNKT (0.5110, 0.1615) X_644 = TRILINEAR MULTIPLIER FOR YFF PARABOLA (-0.0171, 0.3359) X_3877 = com[INVERSE(n(4th EULER TRIANGLE))] (0.5156, 0.1600) A B C X1 X21 X72 X145 X8 X210 X2 X392 X40 X404 X9 X644 X3877 (a, b, c) = (5, 6, 7) | AB = 1

X3877 (X2com[INVERSE(n(4th EULER TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(b + c - a)(b^{2} + c^{2} + ab + ac - bc)\)
Search Value (6, 9, 13): \(3.403090256457\)
▸ Linear Combinations1 combination
▸ Incident Central Lines33 lines

{1, 21}, {2, 392}, {8, 210}, {9, 644}, {40, 404}, {65, 3616}, {72, 145}, {78, 1697}, {100, 997}, {149, 3419}, {377, 962}, {405, 1482}, {518, 1992}, {519, 3681}, {942, 3622}, {946, 2476}, {956, 3219}, {958, 2098}, {982, 1149}, {986, 1201}, {999, 3218}, {1000, 3421}, {1001, 2099}, {1334, 3061}, {2093, 3306}, {2176, 3727}, {2771, 3655}, {2800, 3576}, {2802, 3679}, {3230, 3735}, {3555, 3623}, {3624, 3754}, {3632, 3678}