According to the definition of point in the Elements of Euclid, Book 1, Def 1, . ''A point is that of which there is no part'' and Def.2 ''And a line is a length without breadth''. If that be so, within two points ( rational or irrationals), infinite points, rational and irrational may lie.

According to the definition of point in the Elements of Euclid, Book 1, Def 1, . ''A point is that of which there is no part'' and Def.2 ''And a line is a length without breadth''. If that be so, within two points ( rational or irrationals), infinite points, rational and irrational may lie.