This book is for anyone working with algebraic analysis to explore geometry. The author presents a new method for determining the envelope of a right line or plane that touches a curve or curved surface, a crucial element in geometry that had previously required complex higher-level analysis. This innovative method, called tangential coordinates, is introduced, explained, and illustrated with a variety of examples. The author shows how to use this method to find the locus of a point, trace the envelope of lines, and solve other problems in the geometry of curves and surfaces with far greater ease than was previously possible. By exploring the practical applications of tangential coordinates, this book will prove a valuable resource for anyone engaging with problems in analytic geometry.
James Booth edited Philip Larkin's early girls'-school stories and poems as "Trouble at Willow Gables and Other Fictions" and has published two critical studies of the poet's work: "Philip Larkin: Writer" (1991) and"Philip Larkin: The Poet's Plight" (2005). He is Literary Adviser to the Philip Larkin Society and Co-Editor of its journal, "About Larkin". He recently retired from the Department of English at the University of Hull, where he had been a colleague of Larkin for seventeen years.
www.philiplarkin.com