- #1
Cauchy1789
- 46
- 0
Homework Statement
Given a parameterized curve [tex]\alpha:(a,b)\rightarrow \mathbb{R}^2[/tex], show that this curve is regular except at t = a.
Homework Equations
I know that according to the defintion that a parameterized curve [tex]\alpha: I \rightarrow \mathbb{R}^3[/tex] is said to be regular if [tex]\alpha'(t) \neq 0[/tex] [tex]\forall t \in I.[/tex]
The Attempt at a Solution
I have read that any curve which has a point where the tangent vector is zero cannot be a regular curve, so how is it even possible to just forget about that singular point in such a proof?
Best regards
Cauchy