Question

Define the terms:
(i) Open curve
(ii) Closed curve
(iii) Simple closed curve

Answer 1

( i) Open curve: An open curve is a curve where the beginning and end points are different.
Example: Parabola

(ii) Closed Curve: A curve that joins up so there are no end points.
Example: Ellipse

(iii) Simple closed curve: A closed curve that does not intersect itself.