WILLIAM F. BRADBURY, A. M., HEAD MASTER OF THE CAMBRIDGE HIGH SCHOOL; AUTHOR OF A TREATISE ON BOSTON : PUBLISHED BY THOMPSON, BROWN, & CO., 23 HAWLEY STREET. EDUCATION DEM EAT.ON AND BRADBURY'S AMBORLI Mathematical Series. USED WITH UNEXAMPLED SUCCESS IN THE BEST SCHOOLS AND BRADBURY'S EATON'S ELEMENTARY ARITHMETIC. BRADBURY'S EATON'S PRACTICAL ARITHMETIC. EATON'S PRIMARY ARITHMETIC. EATON'S ELEMENTS OF ARITHMETIC. EATON'S INTELLECTUAL ARITHMETIC. EATON'S HIGH SCHOOL ARITHMETIC. BRADBURY'S ELEMENTARY ALGEBRA. BRADBURY'S ELEMENTARY GEOMETRY. BRADBURY'S ELEMENTARY TRIGONOMETRY. 1881 Educ. dept. BRADBURY'S GEOMETRY AND TRIGONOMETRY, in one volume. BRADBURY'S ELEMENTARY GEOMETRY. Plane, Solid, and Spherical. University Edition. BRADBURY'S TRIGONOMETRY AND SURVEYING. KEYS OF SOLUTIONS TO PRACTICAL, COMMON SCHOOL, AND COPYRIGHT, 1868, BY WILLIAM F. BRADBURY AND JAMES H. EATON. COPYRIGHT, 1877, BY WILLIAM F. BRADBURY AND JAMES H. EATON. UNIVERSITY PRESS: JOHN WILSON AND SON, CAMBRIDGE. PREFACE. It was the intention of the author of Eaton's Arithmetics to add to the series an Algebra, and he had commenced the preparation of such a work. Although its completion has devolved upon another, the author, as far as practicable in a work of this character, has followed the same general plan that has made the Arithmetics so popular, and spared no labor to adapt the book to the wants of pupils commencing this branch of mathematics. A few problems have been introduced in Section II., to awaken the pupil's interest in Algebraic operations, and thus prepare him for the more abstract principles which must be mastered before the more difficult problems can be solved. Special attention is invited to the arrangement of the equations in Elimination; to the Second Method of Completing the Square in Affected Quadratics; and to the number and variety of the examples given in the body of the work and in the closing section. The Theory of Equations, the Explanation of Negative Results, of Zero and Infinity, and of Imaginary Quantities, are omitted, as topics not appropriate to an Elementary Algebra. It may also be better for the younger pupils to |