Kužeľová plocha

Dvojdielny Hyperboloid

\frac{x^2}{a^2} + \frac{y^2}{b^2} - \frac{z^2}{c^2} = 1 

\frac{x^2}{a^2} + \frac{y^2}{b^2} - \frac{z^2}{c^2} = -d 

hPriamka AB

Nevlastný bod 1. druhu

Vlastný bod

a = 1 (slider from 0 to 3, step 0.05)
b = 1 (slider from 0 to 3, step 0.05)
c = 0.9 (slider from 0 to 3, step 0.05)
d = 1 (slider from 0 to 3, step 0.05)
g_1(x, y) = (c * sqrt(x^(2) / a^(2) + y^(2) / b^(2) + d))
g_2(x, y) = ((-c) * sqrt(x^(2) / a^(2) + y^(2) / b^(2) + d))
e = false
f = true
f_1(x, y) = (c * sqrt(x^(2) / a^(2) + y^(2) / b^(2)))
f_2(x, y) = ((-c) * sqrt(x^(2) / a^(2) + y^(2) / b^(2)))
A = PointIn(g_1)
O = Intersect(yAxis, zAxis)
A' = Mirror(A, O)
B = PointIn(g_1)
p = Plane(A, B, O)
eq1 = IntersectPath(p, g_1)
B' = Mirror(B, O)
eq2 = IntersectPath(p, g_2)
g = true
C_∞ = PointIn(f_1)
h = Line(C_∞, O)
u = Vector(O, C_∞)
i = false
j = true
k = false
v = Vector(A, A')
w = Vector(A', A)