ABSTRACT
Euclidean geometry is based on 5 axioms:
1. One can draw a straight line from any point to any point. 2. One can extend a finite straight line continuously in a straight line. 3. One can describe a circle with any center and radius. 4. All right angles are equal to one another. 5. If a straight line falling on two straight lines make the interior angles on the
same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side where the angles are less than the two right angles. (Parallel Postulate)
A logically equivalent formulation of the parallel postulate is Playfair’s postulate:
• (5’) Through a point not on a given straight line, at most one line can be drawn that never meets the given line.
