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 purpose of the book is so fully set forth in the author’s introduction that we need only to say that it is sure to prove of interest to every wide-awake teacher of geometry from the graded school to the college. The methods are so novel and the results so easily reached that they cannot fail to awaken enthusiasm. Our work as editors in this revision has been confined to some slight modifications of the proofs, some additions in the way of references, and the insertion of a considerable number of half-tone reproductions of actual photographs instead of the line-drawings of the original.
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