steif
Author: Andreas Brinken

k_2

k_1

Nein

Ja

Ja

Nein

h

h_1

h_2

Nachweis gleicher Streifenbreite
zugehörige Skizze anzeigen:

M_1 = (-2.22, 0.74)
M_2 = (3.08, 0.8)
a_1 = Segment(M_1, M_2)
Radius_{Kreis 1} = 1.8 (slider from 0 to 5.316276892713547, step 0.1)
k = Circle(M_1, Radius_{Kreis 1})
A = Intersect(k, a_1, 1.0)
k_3 = Circle(M_2, A)
M = Midpoint(a_1)
e = CircleSector(M, M_2, M_1)
P_1 = Intersect(k, e, 1.0)
P_2 = Intersect(k_3, e, 1.0)
g = Line(P_1, P_2)
Q_1 = Intersect(k, g, 2.0)
Q_2 = Intersect(k_3, g, 2.0)
a = Segment(Q_1, P_1)
b = Segment(P_2, Q_2)
B = Point(k)
C = Point(k_3)
c = OrthogonalLine(M_1, g)
h = OrthogonalLine(M, g)
f = OrthogonalLine(M_2, g)
AA1 = (-3.16, 5.5600000000000005)
EE1: AA1 + (1.0, 0.0)
F = Midpoint(AA1, EE1)
h_1 = Segment(AA1, EE1)
i = Segment(EE1, F)
j = Segment(AA1, F)
MM1 = Point(h_1)
R = Intersect(g, h)
R_2 = Intersect(g, f)
R_1 = Intersect(a, c)
poly1, p_2, p_1, m = Polygon(P_1, M, P_2)
AA2: (x(AA1), y(AA1) - 0.5)
EE2: AA2 + (1.0, 0.0)
MM2_1: AA2 + (0.5, 0.0)
l = Segment(AA2, EE2)
MM2 = Point(l)
a_2 = Segment(AA2, MM2_1)
a_{22} = Segment(MM2_1, EE2)
α = Angle(g, f)
β = Angle(g, h)
γ = Angle(g, c)
d = Circle(R, 1.0)
D = Intersect(d, h, 2.0)
n = Line(D, g)
E = Intersect(f, n)
G = Intersect(c, n)
p = OrthogonalLine(M_1, f)
H_2 = Intersect(f, p)
H = Intersect(h, p)
poly2, h_2, m_1, m_2 = Polygon(M_1, M_2, H_2)
δ = Angle(M_1, H_2, M_2)
u = Vector(H, H_2)
Streifenbreite = Vector(H_2, H)