ABSTRACT

Surfaces of revolution form the most easily recognized class of surfaces. We know that ellipsoids and hyperboloids are surfaces of revolution provided that two of their axes are equal; this is evident from the figures on pages 312 and 314. Similarly for tori and paraboloids. Indeed, many objects from everyday life such as cans, table glasses, and furniture legs are surfaces of revolution. The process of lathing wood produces surfaces of revolution by its very nature.