Rational Geometry

Rational Geometry: A Textbook For The Science Of Space Based On Hilbert�������s Foundations is a comprehensive guide to the principles and applications of rational geometry. Written by George Bruce Halsted, this book is based on the foundations laid down by mathematician David Hilbert, and provides a thorough examination of the science of space. The book begins with an introduction to the basic principles of rational geometry, including the concept of space, points, and lines. From there, the author explores the properties of geometric figures such as circles, triangles, and polygons, and provides a detailed analysis of the relationships between them. Throughout the book, Halsted emphasizes the importance of logical reasoning and the use of axioms to develop a deeper understanding of geometric concepts. He also provides numerous examples and exercises to help readers apply these concepts to real-world problems. The book concludes with a discussion of the relationship between geometry and other branches of mathematics, including algebra and calculus. Overall, Rational Geometry: A Textbook For The Science Of Space Based On Hilbert�������s Foundations is an essential resource for anyone interested in the principles and applications of rational geometry.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world’s literature in affordable, high quality, modern editions, that are true to their original work.