A plane parallel to the generating line of the cone intersects the cone in a parabola.

z^2=x^2+y^2

z=n+y

vector(x,y,z)=1/(2*n)*vector(2*n*t,t^2-n^2,t^2+n^2),'radius'=0.05,-2<z<2

[n+prime(y)]^2=prime(x)^2+prime(y)^2

Graph of the formula

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