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

J. Munroe, 1837 - Algebra - 284 pages

### Contents

 The figures in parentheses refer to the articles 1 Multiplication 25 29 9 Difference of powers divisible by difference of numbers 37 25 SECTION II 37 Continued proportion 67 ratio of sum of its antecedents 45 SECTION II 58 Proportions 61 75 61 Reduction and Classification of Equations 7888 78
 58 175 CHAPTER VI 181 60 195 CHAPTER VII 197 SECTION II 206 62 209 CHAPTER VIII 212 dddee8 224

 Solution of Equations of the First Degree with one Unknown 89 Subtraction 23 24 104 CHAPTER IV 110 Powers of Polynomials 132139 129 SECTION IV 138 SECTION V 152
 Commensurable Roots 211214 227 SECTION IV 233 CHAPTER IX 241 SECTION I 257 80

### Popular passages

Page 149 - subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. Double the root now found for a new divisor and continue the operation as before, until all the periods are brought down. EXAMPLES. 1.
Page 149 - at the right of the divisor. Multiply the divisor, thus augmented, 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. Double the
Page 203 - One hundred stones being placed on the ground, in a straight line, at a distance of 2 yards from each other; how far will a person travel, who shall bring them one by one to a basket, placed at 2 yards from the first stone? Ans. 11 miles, 840 yards.
Page 157 - Find three numbers such, that the product of the first and second is 6, that of the first and third is 10, and the sum of the squares of the second and third is 34. Ans. 2, 3, 5.
Page 262 - that is, the logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 50 - A merchant adds yearly to his capital one third of it, but takes from it at the end of each year \$1000 for his expenses. At the end of the third year, after deducting the last
Page 69 - A father gives to his five sons \$1000, which they are to divide according to their ages, so that each elder son shall receive \$20 more than his next younger brother. What is the share of the youngest? Ans. \$160.
Page 95 - C compare their fortunes. A says to B, 'give me \$700 of your money, and I shall have twice as much as you retain; ' B says to C, ' give me \$1400, and I shall have thrice as much as you have remaining ;
Page 53 - A work is to be printed, so that each page may contain a certain number of lines, and each line a certain number of letters. If we wished each page to contain 3 lines more, and each line 4 letters more, then there would be 224 letters more on each page; but if
Page 262 - that is, the logarithm of any root of a number is equal to the logarithm of the number divided by the exponent of the root.