X3636

H⁻¹(X10; M, -2)

X3636 = midpoint of X1 and X1125 (the anticomplement and complement of X10)
< 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 { 515, 546 }: Central Line L(515, 546) { 516, 550 }: Central Line L(516, 550) { 382, 946 }: Central Line L(382, 946) { 86, 1266 }: Central Line L(86, 1266) { 226, 1388 }: Central Line L(226, 1388) 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_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_546 = MIDPOINT OF X(4) AND X(5) (0.5842, 0.3223) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_550 = MIDPOINT OF X(3) AND X(20) (0.4439, -0.0448) X_382 = REFLECTION OF CIRCUMCENTER IN ORTHOCENTER (0.7245, 0.6894) X_946 = MIDPOINT OF X(1) AND X(4) (0.5918, 0.3145) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_1266 = ISOTOMIC CONJUGATE OF X(1120) (2.8367, 1.7996) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_1388 = POINT ANCHA (0.4835, 0.0718) X_3636 = H-1(X(10); M, -2) (0.5587, 0.2208) A B C X1 X2 X515 X546 X516 X550 X382 X946 X86 X1266 X226 X1388 X3636 (a, b, c) = (5, 6, 7) | AB = 1

X3636 (H⁻¹(X10; M, -2)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(bc(6a + b + c) : :\)
Barycentrics: \(6a + b + c : 6b + c + a : 6c + a + b\)
Search Value (6, 9, 13): \(2.042456115594\)
▸ Alternate Coordinates1 form

  • Trilinears: \(5 r + 2 R \sin B \sin C : :\)

▸ Linear Combinations1 combination
▸ Incident Central Lines9 lines

{1, 2}, {86, 1266}, {226, 1388}, {382, 946}, {515, 546}, {516, 550}, {517, 3530}, {993, 3304}, {3528, 3576}

▸ Functional Relations3 relations