# New Elementary Algebra

R.S. Davis & Company, 1880
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### Contents

 Powers of Monomials 7 Axioms 8 Arithmetical Progression 17 ENTIRE QUANTITIES 21 FRACTIONS 74 53 129 Pure Quadratic Equations 132 Problems leading to Simple Equa 139
 Theorems relating to Proportion 158 QUADRATIC 166 Affected Quadratic Equations 218 RATIO AND PROPORTION 259 Logarithms 267 Problems 276 APPENDIX 285 Second Method of Completing 293

### Popular passages

Page 53 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 54 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Page 287 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 153 - This may be effected, as is evident from the definition of a power, by taking the given quantity as a factor as many times as there are units in the exponent of the required power.
Page 268 - ... two triangles are to each other as the products of their bases by their altitudes.
Page 287 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 169 - Find the greatest square in the first- period on the left, and place its root on the right after the manner of a quotient in division. Subtract the square of the root from the first period, and to the remainder bring down the second period for a dividend.
Page 257 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards; but if the circumference of each wheel...
Page 257 - Divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5. Ans. 20 and 40.
Page 116 - For, if we have given ab' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means.