Axiom 1: Given two distinct points, there is a unique line that passes through them.
Axiom 2: A terminated line can be produced indefinitely.
Axiom 3: A circle can be drawn with any center and any radius.
Axiom 4: All right angles are equal to one another.
Axiom 5: If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.