WELLS'S MATHEMATICAL SERIES. Academic Arithmetic. First Course in Algebra. Algebra for Secondary Schools. Text-Book in Algebra. Essentials of Algebra. Academic Algebra. New Higher Algebra. University Algebra. Advanced Course in Algebra. New Plane and Solid Geometry. Essentials of Plane and Solid Geometry. Complete Trigonometry. New Plane Trigonometry. New Plane and Spherical Trigonometry. Four-Place Logarithmic Tables. Six-Place Logarithmic Tables. D. C. HEATH & CO.. PUBLISHERS. FOR SECONDARY SCHOOLS BY WEBSTER WELLS, S.B. PROFESSOR OF MATHEMATICS IN THE MASSACHUSETTS BOSTON, U.S.A. PREFACE THE present work is intended to meet the needs of High Schools and Academies of the highest grade. While in the main similar to the author's "Essentials of Algebra," many additional topics have been introduced, and improvements made; attention is especially invited to the following: 1. The product by inspection of two binomials of the form mx + n and px + q (§ 100). 2. In the chapter on Factoring will be found the factoring of expressions of the forms x2 + ax2y2 + y2 and ax2 + bx + c, when the factors do not involve surds (§§ 115, 117). These forms are considered later in §§ 298 and 300. The solution of equations by factoring is also taken up in this chapter. In § 107 will be found many new varieties of examples. 3. In § 176 will be found a set of problems in which the solutions are negative, fractional, or zero. 4. In the chapter on Evolution will be found the square root by inspection of polynomials of the form a2 + b2 + c2+2ab+2ac + 2bc, and the cube root by inspection of polynomials of the form a3+3a2b+3ab2 + b3 (§§ 212, 223). The development of the rules for the square and cube root of polynomials and arithmetical numbers leaves nothing to be iii |