Vector Analysis and Quaternions

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. Every proposition about quantities in space ought to re main true when restricted to a plane; just as propositions about quantities in a plane remain true when restricted to a straight line. Hence in the following articles the ascent to the algebra of space is made through the intermediate algebra of the plane. Arts. 2-4 treat of the more restricted analysis, while Arts. 5 - 10 treat of the general analysis.