The Equiangular Spiral

The equiangular spiral is a fascinating and much studied plane curve. In the paper Equiangular Spiral the curve is defined, an important property of the curve is established, and this property is used to show several curves related to an equiangular spiral are congruent equiangular spirals. In particular, several exercises from Howard Eves' "A Survey of Geometry, Vol 2" are addressed (14.1-8,14.1-16,14.1-24, and 14.1-26).