$$ \frac{π}{6} $$

$$ \frac{π}{4} $$

$$ \frac{π}{3} $$

$$ \frac{π}{2} $$

$$ \frac{2π}{3} $$

$$ \frac{3π}{4} $$

$$ \frac{5π}{6} $$

$$ π $$

$$ \frac{5π}{3} $$

$$ \frac{11π}{6} $$

$$ 2π $$

$$ \frac{7π}{4} $$

$$ \frac{3π}{2} $$

$$ \frac{7π}{6} $$

$$ \frac{4π}{3} $$

$$ \frac{5π}{4} $$

$$ \frac{π}{6} $$

$$ \frac{π}{4} $$

$$ \frac{π}{3} $$

$$ \frac{π}{2} $$

$$ \frac{2π}{3} $$

$$ \frac{3π}{4} $$

$$ \frac{5π}{6} $$

$$ π $$

$$ \frac{7π}{6} $$

$$ \frac{5π}{4} $$

$$ \frac{4π}{3} $$

$$ \frac{3π}{2} $$

$$ \frac{5π}{3} $$

$$ \frac{7π}{4} $$

$$ \frac{11π}{6} $$

$$ 2π $$

$$- \frac{π}{6} $$

$$- \frac{π}{4} $$

$$- \frac{π}{3} $$

$$- \frac{π}{2} $$

$$- \frac{2π}{3} $$

$$- \frac{3π}{4} $$

$$- \frac{5π}{6} $$

$$- π $$

$$- \frac{7π}{6} $$

$$- \frac{5π}{4} $$

$$- \frac{3π}{2} $$

$$- \frac{5π}{3} $$

$$- \frac{7π}{4} $$

$$- \frac{11π}{6} $$

$$- 2π/0 $$

$$- \frac{4π}{3} $$

$$- \frac{π}{6} $$

$$- \frac{π}{4} $$

$$- \frac{π}{3} $$

$$- \frac{π}{2} $$

$$- \frac{2π}{3} $$

$$- \frac{5π}{6} $$

$$- π $$

$$- \frac{7π}{6} $$

$$- \frac{5π}{4} $$

$$- \frac{4π}{3} $$

$$- \frac{3π}{2} $$

$$- \frac{5π}{3} $$

$$- \frac{7π}{4} $$

$$- \frac{11π}{6} $$

$$ -2π/0 $$

Animacija

Negativna zraka

Negativno

Pozitivno

Pocetak

Kraj

O = (0, 0)
E = (1, 0)
k_{brojevna} = Circle(O, E)
φ = 0 (slider from 0 to 720, step 1)
T: (1; φ°)
a = Tangent(T, k_{brojevna})
d = Circle(T, 3.14159 / 4 - (φ * 3.14159 / 180))
e = Circle(T, 3.14159 / 3 - (φ * 3.14159 / 180))
f = Circle(T, 3.14159 / 2 - (φ * 3.14159 / 180))
g = Circle(T, 3.14159 / 6 - (φ * 3.14159 / 180))
h = Circle(T, (2 * 3.14159 / 3) - (φ * 3.14159 / 180))
k = Circle(T, (3 * 3.14159 / 4) - (φ * 3.14159 / 180))
p = Circle(T, (5 * 3.14159 / 6) - (φ * 3.14159 / 180))
T_1 = (0.8660254037844387, 0.49999999999999994)
T_2 = (0.7071067811865476, 0.7071067811865475)
T_3 = (0.5000000000000001, 0.8660254037844386)
T_4 = (6.123233995736766E-17, 1)
T_5 = (-0.4999999999999998, 0.8660254037844387)
T_6 = (-0.7071067811865475, 0.7071067811865476)
T_7 = (-0.8660254037844387, 0.49999999999999994)
T_8 = (-1, 1.2246467991473532E-16)
q = Circle(T, 3.14159 - (φ * 3.14159 / 180))
T_{13} = (0.5000000000000001, -0.8660254037844386)
T_{14} = (0.8660254037844384, -0.5000000000000004)
T_{15} = (1, -2.4492935982947064E-16)
T_{16} = (0.7071067811865474, -0.7071067811865477)
T_{12} = (-1.8369701987210297E-16, -1)
T_9 = (-0.8660254037844386, -0.5000000000000001)
T_{11} = (-0.5000000000000004, -0.8660254037844385)
T_{10} = (-0.7071067811865477, -0.7071067811865475)
T_{zraka} = Point(a)
i = Ray(T, T_{zraka})
P_1 = Intersect(g, i)
P_2 = Intersect(d, i)
P_3 = Intersect(e, i)
P_4 = Intersect(f, i)
P_6 = Intersect(h, i)
P_5 = Intersect(k, i)
P_7 = Intersect(p, i)
P_8 = Intersect(q, i)
r = Circle(T, (7 * 3.14159 / 6) - (φ * 3.14159 / 180))
P_9 = Intersect(r, i)
s = Circle(T, (5 * 3.14159 / 4) - (φ * 3.14159 / 180))
P_{10} = Intersect(s, i)
t = Circle(T, (4 * 3.14159 / 3) - (φ * 3.14159 / 180))
P_{11} = Intersect(t, i)
c_1 = Circle(T, (3 * 3.14159 / 2) - (φ * 3.14159 / 180))
P_{12} = Intersect(c_1, i)
d_1 = Circle(T, (5 * 3.14159 / 3) - (φ * 3.14159 / 180))
P_{13} = Intersect(d_1, i)
e_1 = Circle(T, (7 * 3.14159 / 4) - (φ * 3.14159 / 180))
P_{14} = Intersect(e_1, i)
f_1 = Circle(T, (11 * 3.14159 / 6) - (φ * 3.14159 / 180))
P_{15} = Intersect(f_1, i)
g_1 = Circle(T, (2 * 3.14159) - (φ * 3.14159 / 180))
P_{16} = Intersect(g_1, i)
φ_{neg} = 0 (slider from -360 to 0, step 1)
T_{neg}: (1; φ_{neg}°)
c = Tangent(T_{neg}, k_{brojevna})
T_{-zraka} = Point(c)
j = Ray(T_{neg}, T_{-zraka})
h_1 = Circle(T_{neg}, 3.14159 / 6 + (φ_{neg} * 3.14159 / 180))
k_1 = Circle(T_{neg}, 3.14159 / 4 + (φ_{neg} * 3.14159 / 180))
p_1 = Circle(T_{neg}, 3.14159 / 3 + (φ_{neg} * 3.14159 / 180))
q_1 = Circle(T_{neg}, 3.14159 / 2 + (φ_{neg} * 3.14159 / 180))
r_1 = Circle(T_{neg}, (2 * 3.14159 / 3) + (φ_{neg} * 3.14159 / 180))
s_1 = Circle(T_{neg}, (3 * 3.14159 / 4) + (φ_{neg} * 3.14159 / 180))
t_1 = Circle(T_{neg}, (5 * 3.14159 / 6) + (φ_{neg} * 3.14159 / 180))
c_2 = Circle(T_{neg}, 3.14159 + (φ_{neg} * 3.14159 / 180))
d_2 = Circle(T_{neg}, (7 * 3.14159 / 6) + (φ_{neg} * 3.14159 / 180))
e_2 = Circle(T_{neg}, (5 * 3.14159 / 4) + (φ_{neg} * 3.14159 / 180))
f_2 = Circle(T_{neg}, (4 * 3.14159 / 3) + (φ_{neg} * 3.14159 / 180))
g_2 = Circle(T_{neg}, (3 * 3.14159 / 2) + (φ_{neg} * 3.14159 / 180))
h_2 = Circle(T_{neg}, (5 * 3.14159 / 3) + (φ_{neg} * 3.14159 / 180))
k_2 = Circle(T_{neg}, (7 * 3.14159 / 4) + (φ_{neg} * 3.14159 / 180))
p_2 = Circle(T_{neg}, (11 * 3.14159 / 6) + (φ_{neg} * 3.14159 / 180))
q_2 = Circle(T_{neg}, (2 * 3.14159) + (φ_{neg} * 3.14159 / 180))
P_{-1} = Intersect(h_1, j)
P_{-2} = Intersect(k_1, j)
P_{-3} = Intersect(p_1, j)
P_{-4} = Intersect(q_1, j)
P_{-5} = Intersect(r_1, j)
P_{17} = Intersect(s_1, j)
P_{-6} = Intersect(t_1, j)
P_{-7} = Intersect(c_2, j)
P_{-8} = Intersect(d_2, j)
P_{-9} = Intersect(e_2, j)
N = Intersect(e_2, f_2)
P_{-11} = Intersect(g_2, j)
P_{-12} = Intersect(h_2, j)
P_{-13} = Intersect(k_2, j)
P_{-14} = Intersect(p_2, j)
P_{-15} = Intersect(q_2, j)
P_{-10} = Intersect(f_2, j)
T_{-1} = (0.8660254037844387, -0.49999999999999994)
T_{-2} = (0.7071067811865476, -0.7071067811865475)
T_{-3} = (0.5000000000000001, -0.8660254037844386)
T_{-4} = (6.123233995736766E-17, -1)
T_{-5} = (-0.4999999999999998, -0.8660254037844387)
T_{-6} = (-0.8660254037844387, -0.49999999999999994)
T_{-7} = (-1, 1.2246467991473532E-16)
T_{-8} = (-0.8660254037844386, 0.5000000000000001)
T_{-9} = (-0.7071067811865477, 0.7071067811865475)
T_{-10} = (-0.5000000000000004, 0.8660254037844385)
T_{-11} = (-1.8369701987210297E-16, 1)
T_{-12} = (0.5000000000000001, 0.8660254037844386)
T_{-13} = (0.7071067811865474, 0.7071067811865477)
T_{-14} = (0.8660254037844384, 0.5000000000000004)
T_{-15} = (1, 2.4492935982947064E-16)
negcheck = false
pozcheck = true