X3752

X995com[INVERSE(n(HEXYL TRIANGLE))]

X3752 = complement of X312
< 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) { 2, 37 }: Central Line L(2, 37) { 6, 57 }: Central Line L(6, 57) { 44, 63 }: Central Line L(44, 63) { 81, 88 }: Central Line L(81, 88) { 38, 210 }: Central Line L(38, 210) { 56, 197 }: Central Line L(56, 197) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_88 = ISOGONAL CONJUGATE OF X(44) (1.0000, 0.0000) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_197 = -CEVA CONJUGATE OF X(6) (0.4333, -0.1633) X_3752 = com[INVERSE(n(HEXYL TRIANGLE))] (0.5933, 0.2459) A B C X2 X37 X6 X57 X44 X63 X81 X88 X38 X210 X56 X197 X3752 (a, b, c) = (5, 6, 7) | AB = 1

X3752 (X995com[INVERSE(n(HEXYL TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a(b^{2} + c^{2} + ab + ac - 2bc) : :\)
Search Value (6, 9, 13): \(1.268956243332\)
▸ Incident Central Lines47 lines

{1, 474}, {2, 37}, {3, 1104}, {6, 57}, {31, 1155}, {34, 1466}, {38, 210}, {39, 1212}, {40, 1191}, {42, 244}, {43, 518}, {44, 63}, {55, 614}, {56, 197}, {65, 1193}, {72, 3216}, {81, 88}, {142, 2092}, {165, 3052}, {171, 1054}, {200, 3242}, {216, 1108}, {226, 1086}, {241, 2275}, {386, 942}, {517, 995}, {595, 3579}, {673, 893}, {940, 1100}, {958, 988}, {960, 978}, {980, 1107}, {1122, 2347}, {1201, 3057}, {1203, 3336}, {1210, 1834}, {1333, 1817}, {1403, 3185}, {1421, 3256}, {1435, 2331}, {1455, 1470}, {1616, 1697}, {1638, 3310}, {1738, 2886}, {1764, 2300}, {1876, 3192}, {3293, 3555}

▸ Functional Relations6 relations