cos(θ) (a sin(θ) + y) + x sin(θ)>=0 and cos(θ) (a sin(θ) + y)>=x sin(θ) and a sin(θ) cos(θ)>=x sin(θ) + y cos(θ) and sin(θ) (a cos(θ) + x)>=y cos(θ)
(-cos(θ) a, 0) | (0, -sin(θ) a) | (cos(θ) a, 0) | (0, sin(θ) a)
4
a>0 and 0<θ<π/2
2 a cos(θ) | 2 a sin(θ)
A = a^2 sin(2 θ)
x^_ = (0, 0)
J_x invisible comma x = 1/3 a^4 sin^3(θ) cos(θ)
J_y invisible comma y = 1/3 a^4 sin(θ) cos^3(θ)
J_zz = 1/6 a^4 sin(2 θ)
J_x invisible comma y = 0
r_x = (a sin(θ))/sqrt(6) r_y = (a cos(θ))/sqrt(6)
a | a | a | a
p = 4 a
r = a sin(θ) cos(θ)
2 a max(cos(θ), sin(θ))
χ = 1