|
|
|||
|
||||
OverviewThis accessible approach features two varieties of proofs: stereometric and planimetric, as well as elementary proofs that employ only the simplest properties of the plane. A short history of geometry precedes a systematic exposition of the principles of non-Euclidean geometry.Starting with fundamental assumptions, the author examines the theorems of Hjelmslev, mapping a plane into a circle, the angle of parallelism and area of a polygon, regular polygons, straight lines and planes in space, and the horosphere. Further development of the theory covers hyperbolic functions, the geometry of sufficiently small domains, spherical and analytical geometry, the Klein model, and other topics. Appendixes include a table of values of hyperbolic functions. Full Product DetailsAuthor: Stefan Kulczycki , Stanislaw KnapowskiPublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Dimensions: Width: 14.00cm , Height: 1.00cm , Length: 21.70cm Weight: 0.222kg ISBN: 9780486462646ISBN 10: 0486462641 Pages: 208 Publication Date: 29 February 2008 Audience: General/trade , General Format: Paperback Publisher's Status: Out of Print Availability: In Print Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |