CONTENTS. Preliminary Definition and Remarks. Algebra-Definitions-Explanation of the Algebraic Signs, Similar Terms-Reduction of Similar Terms, Problems Theorems-Definition of-Question, ARTICLES. Equations of the First Degree involving Two Unknown ALGEBRA. CHAPTER I. Preliminary Definitions and Remarks. 1. QUANTITY is a general term embracing every thing which admits of increase or diminution. 2. MATHEMATICS is the science of quantity. 3. ALGEBRA is that branch of mathematics in which the quantities considered are represented by letters, and the operations to be performed upon them are indicated by signs. 4. The sign+, is called plus; and indicates the addition of two or more quantities. Thus, 9+5 is read, 9 plus 5, or 9 augmented by 5. In like manner, a+b is read, a plus b; and denotes that the quantity represented by a is to be added to the quantity represented by b. 5. The sign is called minus; and indicates that one quantity is to be subtracted from another. Thus, 9—5 is read, 9 minus 5, or 9 diminished by 5. In like manner, a—b, is read, a minus b, or a diminished by b. 6. The sign X, is called the sign of multiplication; and when placed between two quantities, it denotes that they are to be multiplied together. The multiplication of two quantities is also frequently indicated by simply placing a point between them. Thus, |