%0 Journal Article
%T A Ternary Algebra with Applications to Binary Quadratic Forms
%A Edray Herber Goins
%J Mathematics
%D 2009
%I arXiv
%X We discuss multiplicative properties of the binary quadratic form $a x^2 + b x y + c y^2$ by considering a ring of matrices which is closed under a triple product. We prove that the ring forms a ternary algebra in the sense of Hestenes, and then derive both multiplicative formulas for a large class of binary quadratic forms and a type of multiplication for points on a conic section which generalizes the algebra of rational points on the unit circle.
%U http://arxiv.org/abs/0912.0060v1