Recent content by cheersdup

  1. C

    [Differential Geometry of Curves] Prove the set f(p) = 0 is a circle

    Essentially, yes. What coordinate system are we working in?
  2. C

    [Differential Geometry of Curves] Prove the set f(p) = 0 is a circle

    I'm sorry, I am terrible at this... how is f(p) = 0 a circle for |p| = c?
  3. C

    [Differential Geometry of Curves] Prove the set f(p) = 0 is a circle

    Homework Statement Consider a function f that can be put in the form f(p) = g(|p|) where g : [0,+∞) -> ℝ is C1 with g(0) < 0 and g'(t) > 0 for all t ≥ 0 Assume that |∇f(p)| = 1 for all p ≠ 0 and prove that the set f(p) = 0 is a circle. Homework Equations Given above The Attempt at a...