Time Angles
Author: Scott Farrar
Date: 27 April 2013

Drag the time slider.  Conjecture.

6

12

9

3

11

7

2

10

8

4

5

1

Categorize Angles

time = 0 rad (slider from 0 to 6.283185307179586, step 0.1*°)
A = Intersect(xAxis, yAxis)
d = Circle(A, 1)
c = Circle(A, 2)
H6, H12 = Intersect(c, yAxis)
E = Rotate(H12, -time, A)
a = Segment(A, E)
D = Intersect(d, a)
C = Point(c)
B = Point(d)
hour = Vector(A, D)
H9, H3 = Intersect(c, xAxis)
e = Circle(H3, Radius[c])
f = Circle(H12, Radius[c])
g = Circle(H9, Radius[c])
h = Circle(H6, Radius[c])
H11, H7 = Intersect(g, c)
H2, H10 = Intersect(f, c)
H8, H4 = Intersect(h, c)
H5, H1 = Intersect(e, c)
α = Angle(B, A, H12)
M = Rotate(H12, -12 * time, A)
β = Angle(H12, A, M)
minute = Vector(A, M)
δ = Angle(E, A, H12)
ε = Angle(D, A, M)
ζ = Angle(M, A, D)
b = false
G: (time / (30°) + 3, 1)
F: (time / (30°) + 3, 1)