拋物線的光學性質
Author: 藍邦偉  老師

1. 移動F點決定焦點
2. 移動拉竿a決定準線L
3. 移動A點觀察光學性質

拋物線的光學性質

a = 1.2 (slider from -5 to 5, step 0.1)
F = (2.7098761061946908, 1.5204247787610619)
L: x = a
c = Parabola(F, L)
A = (10, 5)
l = OrthogonalLine(F, L)
b = Line(A, l)
P = Intersect(c, b)
d = Tangent(P, c)
f = OrthogonalLine(P, d)
E = Point(f)
α = Angle(F, P, E)
β = Angle(E, P, A)
a_1 = Ray(P, A)
e = Line(P, F)
D, Q = Intersect(c, e)
g = Segment(D, Q)
h = Line(Q, a_1)
H = Intersect(f, h)
i = Ray(Q, H)
B_1: (x(Corner[1.0]), 0.0)
B_2: (x(Corner[2.0]), 0.0)
B_3: (0.0, y(Corner[1.0]))
B_4: (0.0, y(Corner[3.0]))
u = Vector(B_1, B_2)
v = Vector(B_3, B_4)
T_1 = Corner(1.0)
T_4 = Corner(4.0)
T_2: (7.0 * Corner[1.0] + 3.0 * Corner[2.0]) / 10.0
T_3: (7.0 * Corner[4.0] + 3.0 * Corner[3.0]) / 10.0
多邊形1, t_1, t_2, t_3, t_4 = Polygon(T_1, T_2, T_3, T_4)
j = Segment(T_2, T_3)