One question raised by students in mathematics is how to represent multiplication and division of complex numbers by vectors in rectangular co-ordinates. The purpose of this brief paper is to present a simple explanation ...

High school students of plane geometry may be interested in the central theme of this paper as a generalization of the usual problem of finding a line equal to the square of a given line.

It is a matter of common knowledge that it is impossible to duplicate a cube by means of the straightedge and compasses. There are, however, several methods which make use of algebraic curves. This presentation is intended ...

It is impossible to construct a square equal to a given circle by the exclusive use of a straight edge and compass. This paper is intended to present a solution to this problem with a slight departure from the purely ...