X3623

H(X8; M, -2)

< 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 { 149, 388 }: Central Line L(149, 388) { 346, 1100 }: Central Line L(346, 1100) { 79, 1392 }: Central Line L(79, 1392) { 4, 1483 }: Central Line L(4, 1483) { 20, 1482 }: Central Line L(20, 1482) 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_149 = REFLECTION OF X(20) IN X(104) (1.3265, -0.3333) X_388 = ∩X(7)X(8) (0.5790, 0.2635) X_346 = ISOTOMIC CONJUGATE OF X(279) (0.3948, 0.0827) X_1100 = COMPLEMENT OF X(319) (0.5787, 0.2419) X_79 = ISOGONAL CONJUGATE OF X(35) (0.5976, 0.3019) X_1392 = ISOGONAL CONJUGATE OF X(1388) (0.6149, 0.4463) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1483 = REFLECTION OF X(5) IN X(1) (0.5867, 0.2177) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_1482 = REFLECTION OF CIRCUMCENTER IN INCENTER (0.6429, 0.3645) X_3623 = H(X(8); M, -2) (0.5918, 0.2533) A B C X1 X2 X149 X388 X346 X1100 X79 X1392 X4 X1483 X20 X1482 X3623 (a, b, c) = (5, 6, 7) | AB = 1

X3623 (H(X8; M, -2)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(bc(7a - b - c)\)
Barycentrics: \(7a - b - c : 7b - c - a : 7c - a - b\)
Search Value (6, 9, 13): \(1.126872339638\)
▸ Alternate Coordinates1 form

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

▸ Linear Combinations1 combination
▸ Incident Central Lines22 lines

{1, 2}, {4, 1483}, {20, 1483}, {20, 1482}, {79, 1392}, {100, 3304}, {144, 3243}, {149, 388}, {193, 3242}, {346, 1100}, {390, 2098}, {517, 3522}, {944, 3146}, {952, 3091}, {1056, 2475}, {1120, 2334}, {1320, 3296}, {1449, 2325}, {1697, 3218}, {2099, 3600}, {2136, 3306}, {2975, 3303}