translation plan vert parallèle à une directrice (paraboles)

rotation plan orange

translation plan orange

plan mobile

m = 0.7 (slider from -10 to 10, step 0.1)
C = (0, 2, 4)
B = (0, 0, 4)
A = (0, 0, 0)
a = Angle(C, A, B)
a_1 = InfiniteCone(A, B, a)
b = -0.6 (slider from -10 to 10, step 0.1)
c = 2.1 (slider from -10 to 10, step 0.1)
d = 6.9 (slider from -10 to 10, step 0.1)
e = -10.2 (slider from -25 to 25, step 0.1)
f: (b * x) + (c * y) + (d * z) + e = 0
g = IntersectPath(f, a_1)
i = Line(A, C)
D = (0, -2, 4)
j = Line(A, D)
E = (0, 2, 0)
h = OrthogonalLine(E, i, space)
F = Point(h)
u = Vector(E, F)
G = Translate(E, Vector[(m * u)])
k = OrthogonalPlane(G, h)
p = IntersectPath(k, a_1)