X3621

H(X8; M, 2)

X3621 = isotomic conjugate of X36606
< 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) { 1, 2 }: Nagel Line { 44, 346 }: Central Line L(44, 346) { 45, 391 }: Central Line L(45, 391) { 20, 952 }: Central Line L(20, 952) { 89, 1219 }: Central Line L(89, 1219) { 377, 1159 }: Central Line L(377, 1159) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_2 = CENTROID (0.5374, 0.2000) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_346 = ISOTOMIC CONJUGATE OF X(279) (0.3948, 0.0827) X_45 = -BETH CONJUGATE OF X(1) (0.5418, 0.1981) X_391 = INTERSECTION OF LINES X(2,6) AND X(8,9) (0.4857, 0.1443) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_952 = INTERSECTION OF X(1)X(5) AND X(3)X(8) (0.1267, 0.6191) X_89 = ISOGONAL CONJUGATE OF X(45) (0.5963, 0.2697) X_1219 = ISOGONAL CONJUGATE OF X(1191) (0.5037, 0.1756) X_377 = EULER LINE INTERCEPT OF LINE X(7)X(8) (0.5473, 0.2258) X_1159 = GREENHILL POINT (0.5934, 0.2737) X_3621 = H(X(8); M, 2) (0.2653, -0.0667) A B C X1 X2 X44 X346 X45 X391 X20 X952 X89 X1219 X377 X1159 X3621 (a, b, c) = (5, 6, 7) | AB = 1

X3621 (H(X8; M, 2)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(bc(5a - 3b - 3c) : :\)
Barycentrics: \(5a - 3b - 3c : 5b - 3c - 3a : 5c - 3a - 3b\)
Search Value (6, 9, 13): \(10.141851056742\)
▸ Alternate Coordinates1 form

  • Trilinears: \(4 r - 3 R \sin B \sin C : :\)

▸ Linear Combinations1 combination
▸ Incident Central Lines14 lines

{1, 2}, {20, 952}, {44, 346}, {45, 391}, {63, 2136}, {89, 1219}, {149, 3436}, {377, 1159}, {517, 3146}, {518, 1278}, {631, 1483}, {944, 3522}, {1482, 3091}, {1697, 3219}

▸ Functional Relations1 relation

  • X3621 = isotomic conjugate of X36606