Winkeldreiteilung
Author: Prof. Dr. Dieter Riebesehl
Date: 26.1.06

bei Vorgabe einer

Standardparabel

Winkeldreiteilung

Am grünen Punkt den Winkel verändern!

Ppolar=(α,1)

Dieter Riebesehl +Ha 06

Apolar=(3α,1)

E = (1, 0)
α_3 = 0.8377580409572782 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
B = Point(yAxis)
O = Intersect(xAxis, yAxis)
F = Midpoint(B, O)
H = Midpoint(B, F)
I = Midpoint(B, H)
c = OrthogonalLine(I, yAxis)
d = OrthogonalLine(B, yAxis)
A = Rotate(E, α_3, O)
α3 = Angle(E, O, A)
a = Ray(O, A)
e = Circle(O, E)
M_1: (x(A), 7 / 8)
b = Segment(A, M_1)
f = Segment(I, M_1)
C = Midpoint(I, M_1)
D = Midpoint(I, C)
M = Midpoint(I, D)
g = Circle(M, O)
G, J, K, L = Intersect(g, par)
h = OrthogonalLine(K, xAxis)
i = OrthogonalLine(L, xAxis)
j = OrthogonalLine(G, xAxis)
Q, R = Intersect(e, i)
S, P = Intersect(e, j)
k = Segment(R, O)
l = Segment(O, S)
p = Segment(R, L)
q = Segment(G, S)
m = Ray(O, P)
N, T = Intersect(e, h)
n = Segment(K, N)
r = Segment(O, N)
α = Angle(E, O, P)
s = Segment(G, P)