X3873

X2com[INVERSE(n(3rd EULER TRIANGLE))]

X3873 = anticomplement of X210
< 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) { 57, 100 }: Central Line L(57, 100) { 65, 145 }: Central Line L(65, 145) { 2, 210 }: Central Line L(2, 210) { 43, 244 }: Central Line L(43, 244) { 8, 443 }: Central Line L(8, 443) { 376, 517 }: Central Line L(376, 517) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_2 = CENTROID (0.5374, 0.2000) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_8 = NAGEL POINT (0.4694, 0.1333) X_443 = COMPLEMENT OF X(452) (0.5427, 0.2138) X_376 = CENTROID OF THE ANTIPEDAL TRIANGLE OF X(2) (0.4626, 0.0042) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_3873 = com[INVERSE(n(3rd EULER TRIANGLE))] (0.6272, 0.3066) A B C X57 X100 X65 X145 X2 X210 X43 X244 X8 X443 X376 X517 X3873 (a, b, c) = (5, 6, 7) | AB = 1

X3873 (X2com[INVERSE(n(3rd EULER TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a(b^{2} + c^{2} - ab - ac - bc)\)
Search Value (6, 9, 13): \(-0.022473237543\)
▸ Linear Combinations1 combination
▸ Incident Central Lines37 lines

{2, 210}, {6, 3726}, {7, 3434}, {8, 443}, {42, 982}, {43, 244}, {51, 2810}, {55, 3218}, {57, 100}, {65, 145}, {72, 3616}, {78, 3333}, {149, 1836}, {200, 3306}, {376, 517}, {404, 3338}, {614, 3315}, {674, 2979}, {748, 1757}, {938, 3436}, {940, 3242}, {960, 3622}, {962, 1071}, {984, 3720}, {999, 1260}, {1001, 3219}, {1150, 3757}, {1699, 2801}, {2280, 3509}, {2771, 3656}, {3057, 3623}, {3083, 3640}, {3084, 3641}, {3240, 3752}, {3550, 3722}, {3624, 3678}, {3632, 3754}

▸ Functional Relations4 relations