AN ELEMENTARY TREATISE ON ALGEBRA: TO WHICH ARE ADDED EXPONENTIAL EQUATIONS AND LOGARITHMS. BY BENJAMIN PEIRCE, A. M., PERKINS PROFESSOR OF ASTRONOMY AND MATHEMATICS IN NEW EDITION. BOSTON AND CAMBRIDGE: JAMES MUNROE AND COMPANY. P Educ T 128.58.693 HARVARD COLLEGE APK 26 1933 LIBRARY Ms. William O. Lane Entered according to Act of Congress, in the year 1837, by the Clerk's Office of the District Court of the District of Massachusetts NUMERICAL EQUATIONS. II. Reduction and Classification of Equations. III. Solution of Equations of the First Degree, with one II. Nature and Properties of Logarithms. 130 133 141 150 155 201 201 210 214 248 ALGEBRA. CHAPTER I. FUNDAMENTAL PROCESSES OF ALGEBRA. SECTION I.. Definitions and Notation. 1. Algebra, according to the usual definition, is that branch of mathematics in which the quantities considered are represented by the letters of the alphabet, and the operations to be performed upon them are indicated by signs. In this sense it would embrace almost the whole science of mathematics, elementary geometry alone being excepted. It is, consequently, subject in common use to some limitations, which will be more easily understood, when we are advanced in the science. 2. The sign is called plus or more, or the posi tive sign, and placed between two quantities denotes that they are to be added together. Thus 35 is 3 plus or more 5, and denotes the sum of 3 and 5. Likewise a+b is the sum of a and b, or of the quantities which a and b represent. |