Collects three volumes introducing the basics of geometry, with a variety of activities illustrating the many types of circles, triangles, and squares encountered in everyday life, from the natural world to the one humans have engineered.

Teaches readers basic geometric concepts through the antics of the Wing Wing brothers, including relative position, simple shapes, and partitioning rectangles.

"Basic principles of geometry, including measuring two-dimensional and three-dimensional shapes, attributes of various shapes, formulas for finding area and volume, and so much more, are explored through diagrams, photos, and informative and engaging text in this newest addition to the How Do series"--Publisher's website.

In Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and Bolyai-Lobachevskian geometry on the basis of an axiom system due, in principle, to the work of David Hilbert. Part Two develops projective geometry in much the same way. An Introduction provides background on topological space, analytic geometry, and other relevant topics, and rigorous proofs appear throughout the text. Topics covered by Part One include...

This text explores the methods of the projective geometry of the plane. Some knowledge of the elements of metrical and analytical geometry is assumed; a rigorous first chapter serves to prepare readers. Following an introduction to the methods of the symbolic notation, the text advances to a consideration of the theory of one-to-one correspondence. It derives the projective properties of the conic and discusses the representation of these properties...

In this book, exercises are carried out regarding the following mathematical topics: angles, lines and segments circumference and curves triangles, quadrilaterals and polygons Initial theoretical hints are also presented to make the performance of the exercises understood.

Geared toward both beginning and advanced undergraduate and graduate students, this self-contained treatment offers an elementary approach to finite projective planes. Following a review of the basics of projective geometry, the text examines finite planes, field planes, and coordinates in an arbitrary plane. Additional topics include central collineations and the little Desargues' property, the fundamental theorem, and examples of finite non-Desarguesian...

Professor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets. Based on a course given by the author for several years at the University of Minnesota, the main purpose...

This study of many important curves, their geometrical properties, and their applications features material not customarily treated in texts on synthetic or analytic Euclidean geometry. Its wide coverage, which includes both algebraic and transcendental curves, extends to unusual properties of familiar curves along with the nature of lesser known curves.Informative discussions of the line, circle, parabola, ellipse, and hyperbola presuppose only the...