Parametric equation

Kitonum — Mon, 06 Feb 2012 02:52:21 Z

If you subtract the first equation of the second equation, it is easy to find z = 3/2 , ie all points of the curve lie in the horizontal plane z = 3/2 . Substituting z = 3/2 in any equation, we obtain the equation of a circle. The parametric equation of this circle will be x=3*sqrt(3)/2*cos(t), x=3*sqrt(3)/2*sin(t), z=3/2 .

Code for the construction of the curve and surfaces:

A:=plots[spacecurve]([3*sqrt(3)/2*cos(t),3*sqrt(3)/2*sin(t), 3/2],t=0..2*Pi,color=red,axes=normal,thickness=3):

B:=plots[implicitplot3d]({x^2+y^2+z^2 = 9, x^2+y^2+(z-3)^2 = 9}, x = -5 .. 5, y = -5 .. 5, z = -3.5 .. 6.5, numpoints = 27000, style = surface):

plots[display](A,B);

Thanks

emoh1 — Tue, 07 Feb 2012 21:06:51 Z

Really helpful

MaplePrimes - answers and comments on Question, How can I plot the intersection of two surfaces in Maple 10?

Parametric equation

Thanks