Book contents
- Frontmatter
- Colophon
- Dedication
- Dedication
- PREFACE
- Contents
- BOOK I ON VECTORS, CONSIDERED WITHOUT REFERENCE TO ANGLES, OR TO ROTATIONS
- BOOK II ON QUATERNIONS, CONSIDERED AS QUOTIENTS OF VECTORS, AND AS INVOLVING ANGULAR RELATIONS
- CHAPTER I FUNDAMENTAL PRINCIPLES RESPECTING QUOTIENTS OF VECTORS
- CHAPTER II ON COMPLANAR QUATERNIONS, OR QUOTIENTS OF VECTORS IN ONE PLANE; AND ON POWERS, ROOTS, AND LOGARITHMS OF QUATERNIONS
- CHAPTER III ON DIPLANAR QUATERNIONS, OR QUOTIENTS OF VECTORS IN SPACE: AND ESPECIALLY ON THE ASSOCIATIVE PRINCIPLE OF MULTIPLICATION OF SUCH QUATERNIONS
- BOOK III ON QUATERNIONS, CONSIDERED AS PRODUCTS OR POWERS OF VECTORS; AND ON SOME APPLICATIONS OF QUATERNIONS
CHAPTER I - FUNDAMENTAL PRINCIPLES RESPECTING QUOTIENTS OF VECTORS
from BOOK II - ON QUATERNIONS, CONSIDERED AS QUOTIENTS OF VECTORS, AND AS INVOLVING ANGULAR RELATIONS
Published online by Cambridge University Press: 05 July 2015
- Frontmatter
- Colophon
- Dedication
- Dedication
- PREFACE
- Contents
- BOOK I ON VECTORS, CONSIDERED WITHOUT REFERENCE TO ANGLES, OR TO ROTATIONS
- BOOK II ON QUATERNIONS, CONSIDERED AS QUOTIENTS OF VECTORS, AND AS INVOLVING ANGULAR RELATIONS
- CHAPTER I FUNDAMENTAL PRINCIPLES RESPECTING QUOTIENTS OF VECTORS
- CHAPTER II ON COMPLANAR QUATERNIONS, OR QUOTIENTS OF VECTORS IN ONE PLANE; AND ON POWERS, ROOTS, AND LOGARITHMS OF QUATERNIONS
- CHAPTER III ON DIPLANAR QUATERNIONS, OR QUOTIENTS OF VECTORS IN SPACE: AND ESPECIALLY ON THE ASSOCIATIVE PRINCIPLE OF MULTIPLICATION OF SUCH QUATERNIONS
- BOOK III ON QUATERNIONS, CONSIDERED AS PRODUCTS OR POWERS OF VECTORS; AND ON SOME APPLICATIONS OF QUATERNIONS
Summary
- Type
- Chapter
- Information
- Elements of Quaternions , pp. 103 - 239Publisher: Cambridge University PressPrint publication year: 2010First published in: 1866