\vec n_6

\vec n_1

\vec n_2

\vec n_3

\vec n_4

\vec n_5

E_1

E_6

E_5

E_4

E_3

E_2

Datei für Ebenen-Hand, alle Fälle

gl1: x - y + (3 * z) = 7
gl2: (-2 * x) + (3 * y) + z = 11
gl3: (2 * x) + y - (2 * z) = 2
g_{12} = IntersectPath(gl1, gl2)
A = Intersect(g_{12}, gl3)
n2 = Vector(A, (0, 7, 4))
n1 = Vector(A, (3, 3, 6))
v: (2 * n1) + n2
a = Vector(A)
A' = Translate(A, v)
n4 = Vector(A, A')
B4: (0, -3, 4)
C4: (0, 4, 3)
gl4 = Plane(B4, C4, A)
B: (5, 4, 3)
g = Line(A, B)
O: (0, 0, 0)
gl6: z = 3
E'_5 = Plane(g_{12}, g)
g_{13} = IntersectPath(gl1, gl3)
D5: (0, -4, 0)
gl5 = Plane(A, C4, D5)
n5 = Vector(A, (4, 3, 6))
C: (2, 4, 7)
n6 = Vector(A, C)
D = (-4.84, 4.288)
E = (-3.6, 4.288)