IN PLANE AND SOLID GEOMETRY BY LEVI L. CONANT, PH.D. PROFESSOR OF MATHEMATICS IN THE WORCESTER NEW YORK .:. CINCINNATI .:. CHICAGO PREFACE DURING the last few years the custom has become quite general in high schools, and academies of giving a general review of preparatory mathematics during the last year of the course; and of that review a portion now universally recognized as holding a place of great importance is the original work designed to round out a student's course in plane and solid geometry. This collection of theorems, constructions, and numerical problems is designed to supply the material for this original work. The exercises which make up the book are arranged somewhat promiscuously, the design being that the student shall not be restricted in his method of proof; just as he is not restricted in his method of proof for any original exercise he may be asked to solve when he attempts to pass his entrance examination to college. In the preparation of these exercises the author has sought: 1. To obtain variety, combined with proper gradation from easy to difficult problems. 2. To generalize whenever it was possible. In other words, to gather up in one problem as many kindred problems as seemed judicious. 3 3. To interest the student in the history of geometry. 4. To teach from time to time new principles. The author has solved all the problems, to test their fitness for class work. For assistance in the preparation of the work the author desires to acknowledge his indebtedness to Mr. J. W. Thomas, formerly instructor in mathematics in the Worcester Polytechnic Institute. LEVI L. CONANT. |