Relations Between The Metric And Projective Theories Of Space Curves (1920)

By Thomas Mcnider Simpson Jr. and Thomas McNider Simpson Jr

Book Overview

Relations Between The Metric And Projective Theories Of Space Curves is a book written by Thomas Mcnider Simpson Jr. and originally published in 1920. The book explores the relationship between two theories of space curves: the metric theory and the projective theory. The metric theory is concerned with the measurement of distances and angles on a curve, while the projective theory is concerned with the properties of a curve that remain invariant under projection. Simpson Jr. examines how these two theories are related and how they can be used to better understand the properties of space curves. The book is divided into several chapters, each exploring a different aspect of the relationship between the metric and projective theories. Some of the topics covered include the fundamental equations of the metric and projective theories, the relationship between curvature and torsion, and the properties of osculating circles and planes. Throughout the book, Simpson Jr. uses mathematical equations and diagrams to illustrate his points and provide a deeper understanding of the concepts being discussed. The book is intended for mathematicians and students of mathematics who are interested in the theory of space curves and its applications. Overall, Relations Between The Metric And Projective Theories Of Space Curves is a comprehensive and insightful exploration of the relationship between two important theories in the field of mathematics.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.

• Format: Paperback
• Language: English
• ISBN: 1166908577
• ISBN13: 9781166908577
• Release Date: September 2010
• Publisher: Kessinger Publishing
• Length: 32 Pages
• Weight: 0.28 lbs.
• Dimensions: 0.1" x 8.5" x 11.0"