Pure Mathematics, Including Arithmetic, Algebra, Geometry, and Plane Trigonometry

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. The special Object of the present work is to meet the requirements of the Science and Art Department''s Examina tions in the first three stages of Pure Mathematics as set down in the Syllabus of the Science Directory. This will account for the arrangement of the subject matter. I hope, how ever, that it will be found not unsuitable as a general class book in Elementary Mathematics. In the Arithmetical Section my Object has been to deduce the rules from first principles, avoiding as much as possible algebraical considerations. The Geometry consists simply of the first three books of Euclid''s Elements with exercises, the only point calling for remark being the marginal notes. I have found it useful in class teaching to put down upon a blackboard the chief steps of the proposition — just those points, in