The set of complex numbers is obtained algebraically by adjoining the number i to the set R of real numbers, where i is defined by the property that i^2=−1. We will take a geometric approach and defin...The set of complex numbers is obtained algebraically by adjoining the number i to the set R of real numbers, where i is defined by the property that i^2=−1. We will take a geometric approach and define a complex number to be an ordered pair (x,y) of real numbers.