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In preparing the present edition for the press, the text has been subjected to a careful revision; the proofs of some of the more impor&shy;tant propositions have been rendered more strict and general; and more than two hundred examples, taken principally from the questions set of late years in the public Examinations of the University and of individual Colleges, have been added to the collection of Examples and Problems for practice.

In this treatise will be found all the ordinary propositions, connected with the Dynamics of Particles, which can be conveniently deduced without ''the use of D'Alembert's Principle. Throughout the book will be found a'' number of illustrative examples introduced in the text, and for the most part completely worked out; others with occasional solutions or hints to ''assist the student are appended to each chapter. For by far the greater'' portion of these, the Cambridge Senate-House and College Examination ''Papers have been applied to. In the new edition numerous trivial errors,'' and a few of a more serious character, have been corrected, while many new examples have been added.

This work contains elementary proofs of the principal properties of Conic Sections, together with chapters on Projection and Anharmonic Ratio.

The object of the present work is to enable boys to acquire a moderate ''knowledge of Mensuration in a reasonable time. All difficult and useless'' ''matter has been avoided. The examples for the most part are easy, and'' ''the rules are concise. “A very compact useful manual.”'' —.