Lockwood's 'Curves' on a graphics calculator

Many teachers and students of secondary mathematics in the 1960s and 1970s have fond memories of E. H. Lockwood's A Book of Curves. It was a wonderful compendium of information about twodimensional curves both familiar and strange, with a mixture of geometry, co-ordinate geometry and calculus illuminating both theory and exploration. The drawing exercises in particular were a great source of inspiration to many---teachers and students---looking for 'enrichment' activities. In this paper I take some of Lockwood's ideas, concentrating on his first chapter on the parabola, and examine to what extent they can be reworked to suit the abilities and interests of today's students, and indeed enhanced, using in particular a graphics calculator as a medium of drawing and exploring.