__Curves__

**Curve can be defined as the continuous movement of points in any
and every direction.**

**Curve can be anything which is drawn without lifting the pencil
from the paper and without using a ruler.
‘Curve’ in everyday usage means “not straight”. In Mathematics, a
curve can be a straight line called a straight curve.**

**Types of Curve:**

**Simple Curve: If a curve does not cross itself, then it is called a
simple curve.**

**Not Simple Curves: These curves cross themselves.**

**Open Curve: The curve which does not form a closed path is called
an open curve.**

**In an open curve we can find at least one point where the curve**

begins or end.

begins or end.

**Closed Curve: The curve which forms a closed path is called a closed
curve.**

**In a closed curve we cannot find any point where the curve begins**

or ends.

or ends.

**Position in a figure**

**A court line in a tennis court divides it into three parts: inside the
line, on the line and outside the line. You cannot enter inside
without crossing the line.
Thus, in a closed curve, thus, there are three parts.
i) Interior (‘inside’) of the curve
ii) Boundary (‘on’) of the curve and
iii) Exterior (‘outside’) of the curve**.