IN discussing algebraic curves and surfaces we have the choice of several distinct methods. Some authors rely upon Cremona transformations, by which the curve or surface is brought into correspondence ...

This is a preview. Log in through your library . Abstract We consider a parametric family of integral equations of the first kind, which can be treated as index transformations and generalize ...

Materials were written for an entire year's course in geometry in which transformations were used to develop the concepts of congruence, similarity, and symmetry, as well as being a vehicle for proof.