X3716

X659com(EXTOUCH TRIANGLE)

X3716 = complement of X2254
< A B C >: Reference Triangle △ABC < M_a M_b M_c >: Medial Triangle △M_a M_b M_c [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2, 2254 }: Central Line L(2, 2254) { 11, 124 }: Central Line L(11, 124) { 118, 120 }: Central Line L(118, 120) { 522, 650 }: Central Line L(522, 650) { 659, 812 }: Central Line L(659, 812) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) M_a = Midpoint M_a of BC (0.8061, 0.2999) M_b = Midpoint M_b of CA (0.3061, 0.2999) M_c = Midpoint M_c of AB (0.5000, 0.0000) X_2 = CENTROID (0.5374, 0.2000) X_2254 = -ISOCONJUGATE OF X(919) (2.5714, 1.8663) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_124 = -OF-MEDIAL-TRIANGLE (0.6243, 0.0030) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_650 = CROSSDIFFERENCE OF X(1) AND X(3) (13.7143, -4.1991) X_659 = CROSSDIFFERENCE OF X(1) AND X(39) (1.9286, 2.2162) X_812 = ODD (- 1, 1) INFINITY POINT (0.1586, -0.2483) X_3716 = com(EXTOUCH TRIANGLE) (-0.4796, -0.6332) A B C Ma Mb Mc X2 X2254 X11 X124 X118 X120 X522 X650 X659 X812 X3716 (a, b, c) = (5, 6, 7) | AB = 1

X3716 (X659com(EXTOUCH 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 \(f(a,b,c) = (b - c)(b + c - a)(a^{2} - bc)\)
Search Value (6, 9, 13): \(8.693015191493\)
▸ Incident Central Lines10 lines

{2, 2254}, {11, 124}, {118, 120}, {522, 650}, {659, 812}, {676, 918}, {900, 3035}, {926, 3041}, {946, 2814}, {1960, 2787}

▸ Functional Relations3 relations