Rational Geometry

Rational Geometry: A Textbook for the Science of Space, Based on Hilbert's Foundations (1904) is a book written by the famous mathematician David Hilbert. The book is focused on the study of geometry, specifically rational geometry, which is the study of the properties and relationships of geometric figures that can be expressed in terms of rational numbers. The book is based on Hilbert's foundations, which is a set of axioms and principles that serve as the basis for modern geometry. Hilbert's foundations are known for their rigor and clarity, and they have had a significant impact on the development of mathematics.The book is divided into several chapters, each of which covers a different aspect of rational geometry. The first chapter introduces the basic concepts of rational geometry, including points, lines, and planes. The subsequent chapters delve deeper into topics such as angles, circles, conic sections, and higher-dimensional spaces.Throughout the book, Hilbert provides clear explanations of the concepts and principles of rational geometry, using examples and diagrams to illustrate key ideas. The book is written in a concise and accessible style, making it suitable for both students and professionals in the field of mathematics.Overall, Rational Geometry: A Textbook for the Science of Space, Based on Hilbert's Foundations (1904) is an important work in the history of mathematics, and it remains a valuable resource for anyone interested in the study of 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.