X3876

X1698com[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) { 9, 21 }: Central Line L(9, 21) { 2, 72 }: Central Line L(2, 72) { 8, 210 }: Central Line L(8, 210) { 63, 404 }: Central Line L(63, 404) { 145, 392 }: Central Line L(145, 392) { 329, 377 }: Central Line L(329, 377) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_9 = MITTENPUNKT (0.5110, 0.1615) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_2 = CENTROID (0.5374, 0.2000) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_8 = NAGEL POINT (0.4694, 0.1333) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_404 = {X(2),X(3)}-HARMONIC CONJUGATE OF X(21) (0.5538, 0.2429) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_392 = X(1,6)∩X(10,11) (0.5265, 0.1800) X_329 = ISOTOMIC CONJUGATE OF X(189) (0.3847, -0.0222) X_377 = EULER LINE INTERCEPT OF LINE X(7)X(8) (0.5473, 0.2258) X_3876 = com[INVERSE(n(4th EULER TRIANGLE))] (0.4971, 0.1493) A B C X9 X21 X2 X72 X8 X210 X63 X404 X145 X392 X329 X377 X3876 (a, b, c) = (5, 6, 7) | AB = 1

X3876 (X1698com[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): \(3.844849897295\)
▸ Incident Central Lines33 lines

{1, 748}, {2, 72}, {3, 3219}, {8, 210}, {9, 21}, {10, 908}, {38, 978}, {43, 2292}, {63, 404}, {65, 3740}, {81, 975}, {145, 392}, {238, 976}, {329, 377}, {474, 3218}, {517, 3091}, {518, 3616}, {631, 912}, {651, 1038}, {750, 1046}, {758, 1698}, {857, 3661}, {899, 986}, {958, 3715}, {970, 3690}, {971, 3522}, {984, 1193}, {997, 2975}, {1071, 3523}, {1468, 1757}, {3061, 3691}, {3555, 3622}, {3687, 3710}