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
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.
Closed Curve: The curve which forms a closed path is called a closed
In a closed curve we cannot find any point where the curve begins
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.