3: Plane Curves

Question 1

if alpha smooth unit speed curve then t’(s)=alpha’‘(s) is ___ to n(s)

Answer 1

parallel

Question 2

Jordon Curve Theorem: a simple closed continuous curve divides R2 into two regions, one ___ and one ___

Answer 2

bounded/unbounded

Question 3

if e is___ then its tangent vector e’(u) is parallel to unit normal vector n(s)

Answer 3

regular

Question 4

if alpha is smooth and regular with involute B then alpha is the ___ of B

Answer 4

evolute