Plot of Implicitly Defined 3D Curve

Question:Plot of Implicitly Defined 3D Curve

Posted: H-R 155 Product: Maple 18

January 10 2016

Suppose that we have the following curve on a unit sphere

r^2+z^2=1

phi=pi/3

-1<=z<=1

which is the implicit equation of a circle in "cylindrical coorinates" (r,phi,z) on the sphere.

How can I plot this curve without solving the implicit equation for r or z ?

Also, I don't want to make any parameterization.

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