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IX.—On the Establishment of the Elementary Principles of Quaternions on an Analytical Basis

Published online by Cambridge University Press:  17 January 2013

Gustav Plarr
Gustav Plarr
Affiliation:
Docteur ès-sciences.
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Extract

The extension which is required to be given to the meaning of algebraic addition and subtraction, for the purpose of representing a vector by a polynomial expression (by the algebraic sum, namely, of components differing in direction from one another), renders it necessary to investigate into the question of what the geometrical signification of the result of the other elementary operations of algebra will become when these operations are performed on those polynomial expressions?

Type
Research Article
Information
Earth and Environmental Science Transactions of The Royal Society of Edinburgh , Volume 27 , Issue 2 , 1874 , pp. 175 - 202
Copyright
Copyright © Royal Society of Edinburgh 1874

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