x

y

z

單位向量

座標軸

α = 3.5255650890285457 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
β = 1.3788101090755203 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
O = (8.935691828548391, 4.165412951259465)
X_{unit}: O + (cos(α), sin(α) * cos(β))
Y_{unit}: O + (-1.0 * sin(α), cos(α) * cos(β))
Z_{unit}: O + (0.0, sin(β))
u = Vector(O, X_{unit})
v = Vector(O, Y_{unit})
w = Vector(O, Z_{unit})
L = 5 (slider from 1 to 10, step 1)
a_1 = Vector(O - L * v, O + L * v)
b_1 = Vector(O - L * w, O + L * w)
z = Vector(O - L * u, O + L * u)
A_1: O + L * u
B_1: O + L * v
Z: O + L * w
c = false
d = true
a = 1.001 (slider from 0.0010 to 100, step 0.0010)
b = 0.101 (slider from 0.0010 to 5, step 0.0010)
n = 4 (slider from 1 to 100, step 1)
e = CurveCartesian(x(O + a * cos(t) * u + a * sin(t) * v + b * t), y(O + a * cos(t) * u + a * sin(t) * v + b * t), t, -2.0 * n * 3.141592653589793, 2.0 * n * 3.141592653589793)

Tool: Poly_B3
Input: A, B, C
Output: poly1'

α = Angle(C, B, A)
d: sqrt(sgn(sin(α)))
A' = Dilate(A, d, A)
B' = Dilate(B, d, A)
C' = Dilate(C, d, A)
poly1', c', a', b' = Polygon(A', B', C')

Tool: Poly_B5
Input: A, B, C, D, E
Output: poly1'

poly1, a, b, c, d, e = Polygon(A, B, C, D, E)
F = Midpoint(b)
G = Midpoint(d)
α = Angle(G, F, A)
f: sqrt(sgn(sin(α)))
A' = Dilate(A, f, A)
B' = Dilate(B, f, A)
C' = Dilate(C, f, A)
D' = Dilate(D, f, A)
E' = Dilate(E, f, A)
poly1', a', b', c', d', e' = Polygon(A', B', C', D', E')