(Second Revised Edition) Analytic Geometry Logarithms, Metric Measures, etc. Geometrical Exercises Syllabus of Geometry Examination Manual in Geometry (Wentworth and Hill) Exercise Manual in Geometry (Wentworth and Hill) Plane Trigonometry and Tables (Second Revised Plane and Spherical Trigonometry (Second Revised Edition) Plane and Spherical Trigonometry and Tables (Second Revised Edition) Plane Trigonometry, Surveying, and Tables (Second Surveying and Tables (Second Revised Edition) Plane and Spherical Trigonometry, Surveying, and Logarithmic and Trigonometric Tables (Wentworth and Hill) AIMBOTLIAD COPYRIGHT, 1908 By G. A. WENTWORTH ALL RIGHTS RESERVED 200 ATION DEPT. 68.6 The Athenæum Press These examples There are nearly In preparing a new algebra for secondary schools, the author has provided a new set of examples throughout the book. have been selected and graded with great care. four thousand of them, more, in fact, than most classes will be able to solve in a school year. The author has indicated on pages 183, 264, 278, 302, and 345 examples that may be reserved for review, or omitted altogether. It is expected that the teacher will use his discretion in omitting other examples if the time at his disposal requires, and in this way have in reserve some new examples for successive classes. At the request of many teachers a sufficiently full treatise on graphs and several pages of exercises in physics have been introduced. The first chapter contains the necessary definitions and illustrations of the commutative, associative, and distributive laws of algebra. This chapter should be read carefully at first, and later particular attention should be given to the principal definitions. The second chapter treats of simple equations and is designed to lead the beginner to see the advantages of algebraic methods before he encounters negative numbers. Only positive numbers are involved in the first two chapters, and the recognition of the fact that the true nature of subtraction is counting backward, and that the true nature of multiplication is forming the product from the multiplicand in the same way as the multiplier is formed from unity, leads to an easy explanation in the third chapter of all the elementary processes with negative numbers. All the rules of this chapter are illustrated and enforced by examples that involve simple algebraic expressions only. The more common operations with compound expressions, including resolution into factors and the treatment of fractions, follow the third chapter. The immediate succession of topics that require 541414 |