度度量,徑度量與實數的一對一對應
Author: 藍邦偉  老師

$ O $

$ 徑度量，度度量與實數的對應 $

θ

θ

$ P(cosθ,sinθ) $

u = Vector((x(Corner[1]), 0), (x(Corner[3]), 0))
v = Vector((0, y(Corner[1])), (0, y(Corner[3])))
O = (0, 0)
Q_2: 0.6 * Corner[1] + 0.4 * Corner[2]
Q_3: (x(Q_2), y(Corner[4]))
poly1, q_1, q_2, q_4, q_3 = Polygon(Corner[1], Q_2, Q_3, Corner[4])
c = Circle(O, 1)
θ = 0.4608146900000003 (slider from -6.28318531 to 6.283185307179586, step 1.0E-4)
P: (cos(θ), sin(θ))
α = Angle((1, 0), O, P)
text2: "        $實數$
$ " + (LaTeX[θ]) + " $"
β = Angle(P, O, (1, 0))
text1: "　　$度度量$
$" + (LaTeX[α]) + "  $"
text1_{-}: "           $度度量 $
$ -" + (LaTeX[β]) + "$"
A = (-3.469211099893294, 0.5019015304303289)
a = Segment(O, P)
text3: "$徑度量$
$" + (LaTeX[If[θ < 0, "-"]]) + " " + (LaTeX[FractionText[abs(θ) / 2 * 3.1415926535]]) + " \pi$"
B = (-3.495560398419584, -0.710166201779011)
B_1: B + (1, 0)
B_2 = Rotate(B_1, 60*°, B)
w = Vector(B, B_1)
z = Vector(B_2, B_1)
b = Vector(B_2, B)
d = Vector(B_1, B)
e = Vector(B_1, B_2)
f = Vector(B, B_2)