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22 ''a long career at the Royal Military Academy. A student who finds'' that he is able to solve the larger portion of these Exercises, may consider that he is thoroughly well grounded in the elementary principles of pure and mixed Mathematics.

The object of this book is the introduction of a treatment of Conic Sections which should be simple and natural, and lead by an easy transi&shy;tion to the analytical methods, without departing from the strict geometry of Euclid.

The object of the author is to present the subject as a continuous chain of argument, separated from all accessories of explanation or illustration. All such explanation and illustration as seemed necessary for a beginner are introduced, either in the form of foot-notes, or, where that would have occupied too much room, of Appendices, “The work,” says the , “forms a valuable addition to the treatises we possess on Modern Algebra.”

In this work the subject of Conic Sections has been placed before the student in such a form that, it is hoped, after mastering the elements of Euclid, he