雙曲線的定義
Author: 藍邦偉  老師

雙曲線的定義

顯示雙曲線

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\left\vert \overline{PF}−\overline{PF'} \right\vert=2a 

移動F決定焦點，

觀察P點軌跡

θ = 0 rad (slider from 0 to 6.283185307179586, step 0.006981317007977318)
A = Intersect(c, xAxis, 2)
F = Point(xAxis)
O = Intersect(xAxis, yAxis)
Q = Rotate(A, θ, O)
a = Line(O, Q)
b = Segment(Q, F)
d = LineBisector(Q, F)
P = Intersect(a, d)
e = Hyperbola(O, F, P)
A_1: (x(Corner[1]), 0)
A_4: (0, y(Corner[4]))
A_2: (x(Corner[2]), 0)
u = Vector(A_1, A_2)
A_3: (0, y(Corner[2]))
v = Vector(A_3, A_4)
T_1 = Corner(1)
f = true
T_4 = Corner(4)
T_2: (7.5 * Corner[1] + 2.5 * Corner[2]) / 10
T_3: (7.5 * Corner[4] + 2.5 * Corner[3]) / 10
多邊形1, t_1, t_2, t_3, t_4 = Polygon(T_1, T_2, T_3, T_4)
g = Segment(T_2, T_3)
h = Segment(P, F)
i = Segment(P, Q)
B = Point(i)
j = Segment(O, B)