2D 座標架
Author: 藍邦偉  老師

$O$

$Case=%v$

$%v$

15°=\frac{180°}{12}=\frac{π}{12}

30°=\frac{180°}{6}=\frac{π}{6}

45°=\frac{180°}{4}=\frac{π}{4}

60°=\frac{180°}{3}=\frac{π}{3}

$75°=15°×5$
$=\frac{π}{12}×5=\frac{5π}{12}$

90°=\frac{180°}{2}=\frac{π}{2}

$105°=\frac{180°}{12}×7$
$=\frac{π}{12}×7=\frac{7π}{12}$

$120°=\frac{180°}{3}×2$
$=\frac{π}{3}×2=\frac{2π}{3}$

$135°=\frac{180°}{4}×3$
$=\frac{π}{4}×3=\frac{3π}{4}$

$150°=\frac{180°}{6}×5$
$=\frac{π}{6}×5=\frac{5π}{6}$

$165°=\frac{180°}{12}×11$
$=\frac{π}{12}×11=\frac{11π}{12}$

180°=π

$195°=\frac{180°}{12}×13$
$=\frac{π}{12}×13=\frac{13π}{12}$

$210°=\frac{180°}{6}×7$
$=\frac{π}{6}×7=\frac{7π}{6}$

$225°=\frac{180°}{4}×5$
$=\frac{π}{4}×5=\frac{5π}{4}$

$240°=\frac{180°}{3}×4$
$=\frac{π}{3}×4=\frac{4π}{3}$

$255°=\frac{180°}{12}×17$
$=\frac{π}{12}×17=\frac{17π}{12}$

270°=\frac{3π}{2}

$285°=\frac{180°}{12}×19$
$=\frac{π}{12}×19=\frac{19π}{12}$

$300°=\frac{180°}{3}×5$
$=\frac{π}{3}×5=\frac{5π}{3}$

$315°=\frac{180°}{4}×7$
$=\frac{π}{4}×7=\frac{7π}{4}$

$330°=\frac{180°}{6}×11$
$=\frac{π}{6}×11=\frac{11π}{6}$

$345°=\frac{180°}{12}×23$
$=\frac{π}{12}×23=\frac{23π}{12}$

360°=2π

0°=0

將度度量轉換為徑度量

O = Intersect(x = 0, y = 0)
Q_2: 0.67 * Corner[1] + 0.33 * Corner[2]
Q_3: (x(Q_2), y(Corner[4]))
poly1, q_1, q_2, q_4, q_3 = Polygon(Corner[1], Q_2, Q_3, Corner[4])
n = 0 (slider from 0 to 24, step 1)
c = Circle((0, 0), 1)
A: (cos((n * 15)°), sin((n * 15)°))
α = Angle((1, 0), O, A)
u = Vector(O, (1.5 * cos((n * 15)°), 1.5 * sin((n * 15)°)))
v = Vector(O, (x(Corner[3]), 0))
B: Corner[4] + (0, -0.4)