MATHEMATICS BY ROBERT L. SHORT HEAD OF THE DEPARTMENT OF MATHEMATICS AND WILLIAM H. ELSON SUPERINTENDENT OF SCHOOLS, CLEVELAND, OHIO BOOK II D. C. HEATH & CO., PUBLISHERS BOSTON NEW YORK CHICAGO PREFACE THIS volume continues the work of Book I and completes the required work in most four-year high schools; namely, algebra through quadratic equations, and all of plane geometry. In addition it trains the pupil in the use of logarithms and trigonometry of the right triangle. These last two topics are taught as a direct consequence of the theory of exponents and of ratios in similar right triangles. With algebra through proportion and most of straight line geometry at the student's command, this book offers from the very beginning the greatest opportunities for the introduction of interesting problems which are impossible in the old plan of keeping algebra and geometry separate. The applied problems, involving a knowledge of technical terms in shop or in the work of household arts, are so arranged that their introduction is at the discretion of the teacher, this of course depending largely on the type of school in which the text is being used. Teachers and pupils alike will enjoy the unique combinations of algebra, geometry, and trigonometry under circle theorems. Considerable stress is placed on the uses of √2, √3, √5, as these are of constant occurrence in solving squares, triangles, pentagons, and hexagons. As in Book I, we are indebted to Miss Carlotta Greer, Cleveland Technical High School, and Professor Kenneth G. Smith, University of Wisconsin, for much of the work in Applied Mathematics. We also thank those who have been helpful in criticising the manuscripts and in eliminating errors from the proof. THE AUTHORS. |
