The Theory Of The Imaginary In Geometry: Together With The Trigonometry Of The Imaginary (1920)

The book ""The Theory Of The Imaginary In Geometry: Together With The Trigonometry Of The Imaginary"" was written by J. L. S. Hatton in 1920. This book is a comprehensive guide to the theory of imaginary numbers in geometry and trigonometry. It explores the concept of imaginary numbers and their applications in geometry, including the use of complex numbers to solve geometric problems.The book is divided into two parts. The first part covers the theory of imaginary numbers in geometry. It begins with an introduction to the concept of imaginary numbers and their properties. It then goes on to discuss the use of complex numbers in solving geometric problems, including the use of the Argand diagram and the geometry of the complex plane.The second part of the book covers the trigonometry of imaginary numbers. It begins with an introduction to trigonometry and its basic concepts. It then goes on to discuss the use of complex numbers in trigonometry, including the use of the exponential form of complex numbers and the use of De Moivre's theorem.Overall, ""The Theory Of The Imaginary In Geometry: Together With The Trigonometry Of The Imaginary"" is a valuable resource for anyone interested in the theory of imaginary numbers and their applications in geometry and trigonometry.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.

John Leigh Smeathman Hatton (1865-1933) was a British educator and mathematician. First published in 1920, this book explores the relationship between imaginary and real non-Euclidean geometry through graphical representations of imaginaries. This volume provides insights into the type of geometry being researched at the time of publication.