X3736

X2092com(HEXYL TRIANGLE)

X3736 = crossdifference of every pair of points on line X523X798
< 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) { 3, 6 }: Brocard Axis { 1, 75 }: Central Line L(1, 75) { 42, 81 }: Central Line L(42, 81) { 21, 238 }: Central Line L(21, 238) { 43, 333 }: Central Line L(43, 333) { 99, 731 }: Central Line L(99, 731) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1 = INCENTER (0.5714, 0.2333) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_333 = CEVAPOINT OF X(8) AND X(9) (0.4886, 0.1475) X_99 = STEINER POINT (0.1109, 0.4322) X_731 = EVEN (- 2, 1) CIRCUMCIRCLE POINT (1.0101, 0.0876) X_3736 = com(HEXYL TRIANGLE) (0.5890, 0.2490) A B C X3 X6 X1 X75 X42 X81 X21 X238 X43 X333 X99 X731 X3736 (a, b, c) = (5, 6, 7) | AB = 1

X3736 (X2092com(HEXYL TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a^{2}(b^{2} + c^{2} + bc)/(b + c) : :\)
Search Value (6, 9, 13): \(1.268786733169\)
▸ Incident Central Lines16 lines

{1, 75}, {3, 6}, {21, 238}, {35, 1918}, {42, 81}, {43, 333}, {99, 731}, {110, 753}, {869, 984}, {872, 1757}, {995, 1001}, {1014, 1458}, {1408, 2594}, {1412, 1460}, {1707, 2258}, {1818, 2303}

▸ Functional Relations1 relation

  • X3736 = crossdifference of every pair of points on line X523X798