餘角關係
Author: 藍邦偉  老師

R(cos45°,sin45°)

(1,0)

x

y

P(cosθ,sinθ)

45°-θ

餘角關係

P(cosθ,sinθ)

Q(sinθ,cosθ)

Q(cos(90°-θ),sin(90°-θ))

θ-45°

R = (2.121320343559643, 2.1213203435596424)
O: 0.5 * (Corner[1.0] + Corner[3.0])
u = Vector((x(Corner[1.0]), y(O)), (x(Corner[3.0]), y(O)))
v = Vector((x(O), y(Corner[1.0])), (x(O), y(Corner[3.0])))
c = Circle(O, 3.0)
A = (3, 0)
θ = 2.356194490192345 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
P = Rotate(A, θ, O)
A_1: 3.0 / 4.0 * O + 1.0 / 4.0 * R
a = Segment(O, P)
B_1: 3.0 / 4.0 * O + 1.0 / 4.0 * P
d = CircleArc(O, A_1, B_1)
Q: (3.0 * sin(θ), 3.0 * cos(θ))
b = Line(O, R)
e = Segment(O, Q)
A_2: 3.0 / 4.0 * O + 1.0 / 4.0 * Q
f = CircleArc(O, A_2, A_1)