# Manual of Algebra

A.S. Barnes, 1875 - Algebra - 331 pages
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### Contents

 CHAPTER I 9 CHAPTER II 19 CHAPTER III 52 CHAPTER IV 66 CHAPTER V 87 CHAPTER VI 127 CHAPTER VII 143
 RADICALS 169 CHAPTER IX 199 CHAPTER X 235 LOGARITHMS 264 CHAPTER XII 276 CHAPTER XIII 319

### Popular passages

Page 145 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Page 239 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
Page 267 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 245 - In arithmetical progression there are five parts to be considered, viz : the first term, the last term, the number of terms, the common difference, and the sum of all the terms.
Page 42 - ... the first term of the quotient ; multiply the divisor by this term and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...
Page 239 - In any proportion, the product of the means is equal to the product of the extremes.
Page 245 - That is, any term is equal to the first term, plus the product of the common difference by the number of preceding terms.
Page 41 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 264 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number. The fixed number is called the base of the system.