This is to answer the question and thetwo responses.

**Assume we are operating in a **__plane__. Modern axiomatic geometry has axioms about sides of a line.

The axiom vary but go something like this.

**Definition:** Two points are on different sides of

if and only if there is a point of

between the points.

Given a line

there is a point

such

.

The is at least

.

There is a point

such that

(

is between

).

Now we have a

and

.

"IF we have two points 'A' and 'B' which are on opposite sides of a straight line 'M'.

Definition there is a point

such that

.