# An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms

J. Munroe, 1837 - Literary Criticism - 284 pages

### Contents

 Fundamental Processes of Algebra 1 Multiplication 25 29 2 SECTION V 14 SECTION II 37 SECTION II 58 Proportions 61 75 61 Solution of Equations of the First Degree with one Unknown 89 Equations of the First Degree containing two or more Unknown 100
 SECTION V 152 CHAPTER VI 181 SECTION II 190 Progressions 196 SECTION II 206 Commensurable Roots 211214 227 211 CHAPTER VIII 212 SECTION II 224

 Subtraction 23 24 104 CHAPTER IV 110 Calculus of Radical Quantities 127131 127 SECTION IV 138
 ddde 233 CHAPTER IX 241 SECTION I 257 64 271

### Popular passages

Page 47 - In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Page 54 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Page 149 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 197 - Problem. To find the last term of an arithmetical progression when its first term, common difference, and number of terms are known. Solution. In this case a, r, and n are supposed to be known, and I is to be found.
Page 262 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 62 - A term may be transposed from one member of an equation to the other by changing its sign.
Page 44 - Arrange the terms in the statement so that the causes shall compose one couplet, and the effects the other, putting ( ) in the place of the required term. II. If the required term be an extreme, divide the product of the means by the given extreme ; if the required farm be a mean, divide the product of the extremes by the given mean.
Page 46 - Likewise, the sum of the antecedents is to their difference, as the sum of the consequents is to their difference.
Page 99 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f?
Page 206 - The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? Ans.