X3738

X2804com(HEXYL TRIANGLE)

X3738 = X522-of-inner-Garcia 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) { 11, 124 }: Central Line L(11, 124) { 102, 104 }: Central Line L(102, 104) { 100, 109 }: Central Line L(100, 109) { 117, 119 }: Central Line L(117, 119) { 151, 153 }: Central Line L(151, 153) { 30, 511 }: Central Line L(30, 511) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2222 = -ISOCONJUGATE OF X(654) (0.9870, 0.2545) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_124 = -OF-MEDIAL-TRIANGLE (0.6243, 0.0030) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_117 = MIDPOINT OF X(4) AND X(109) (0.4879, 0.4948) X_119 = FEUERBACH ANTIPODE (0.3776, 0.4312) X_151 = REFLECTION OF X(20) IN X(109) (0.3395, 1.3793) X_153 = REFLECTION OF X(20) IN X(100) (-0.1020, 1.1248) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_3738 = com(HEXYL TRIANGLE) (0.0290, -0.0931) A B C X2222 X11 X124 X102 X104 X100 X109 X117 X119 X151 X153 X30 X511 X3738 (a, b, c) = (5, 6, 7) | AB = 1

X3738 (X2804com(HEXYL TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a (b-c) \cdot (-a+b+c) \cdot (a^{2}-b^{2}+b c-c^{2}) : :\)
▸ Incident Central Lines13 lines

{1, 1769}, {11, 124}, {30, 511}, {100, 109}, {102, 104}, {117, 119}, {151, 153}, {656, 1955}, {885, 3254}, {1027, 1814}, {1317, 1361}, {3035, 3042}, {3036, 3040}

▸ Functional Relations5 relations