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A Primer of Quaternions, by Arthur S. Hathaway

Chemical substances (also called pure substances) may well be defined as "any material with a definite chemical composition" in an introductory general chemistry textbook.[2] According to this definition a chemical substance can either be a pure chemical element or a pure chemical compound. But, there are exceptions to this definition; a pure substance can also be defined as a form of matter that has both definite composition and distinct properties.[3] The chemical substance index published by CAS also includes several alloys of uncertain composition.[4] Non-stoichiometric compounds are a special case (in inorganic chemistry) that violates the law of constant composition,. | The Project Gutenberg EBook of A Primer of Quaternions by Arthur S. Hathaway Copyright laws are changing all over the world. Be sure to check the copyright laws for your country before downloading or redistributing this or any other Project Gutenberg eBook. This header should be the first thing seen when viewing this Project Gutenberg file. Please do not remove it. Do not change or edit the header without written permission. Please read the legal small print and other information about the eBook and Project Gutenberg at the bottom of this file. Included is important information about your specific rights and restrictions in how the file may be used. You can also find out about how to make a donation to Project Gutenberg and how to get involved. Welcome To The World of Free Plain Vanilla Electronic Texts eBooks Readable By Both Humans and By Computers Since 1971 These eBooks Were Prepared By Thousands of Volunteers Title A Primer of Quaternions Author Arthur S. Hathaway Release Date February 2006 EBook 9934 Yes we are more than one year ahead of schedule This file was first posted on November 1 2003 Edition 10 Language English Character set encoding TeX START OF THE PROJECT GUTENBERG EBOOK A PRIMER OF QUATERNIONS E-text prepared by Cornell University Joshua Hutchinson John Hagerson and the Online Distributed Proofreading Team. ii A PRIMER OF QUATERNIONS BY ARTHUR S. HATHAWAY PROFESSOR OF MATHEMATICS IN THE ROSE POLYTECHNIC INSTITUTE TERRE HAUTE IND. 1896 iii Preface The Theory of Quaternions is due to Sir William Rowan Hamilton Royal Astronomer of Ireland who presented his first paper on the subject to the Royal Irish Academy in 1843. His Lectures on Quaternions were published in 1853 and his Elements in 1866 shortly after his death. The Elements of Quaternions by Tait is the accepted text-book for advanced students. The following development of the theory is prepared for average students with a thorough knowledge of the elements of algebra and geometry and is .