## Elements of Algebra with Exercises |

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### Common terms and phrases

added addition algebraic arithmetical arrangement binomial called CHAPTER coefficient complex condition Consequently contain cube definition denominator derived difference digits distance divided divisible divisor dollars equal equation equivalent evidently example EXERCISES exponent expression factors feet Find Find the values following expressions following principle four fraction give given given equation greater hold illustrates increases indicated integer irrational language less letter limit means method miles multinomial multiplied obtained operation parentheses positive powers preceding problem progression proved quadratic quotient rational reduce remainder represented result root satisfy Simplify solution Solve square root stand Substituting subtracted surds symbolically taken third units unknown number values whence wherein yards

### Popular passages

Page 209 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.

Page 354 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...

Page 73 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.

Page 106 - ... term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.

Page 357 - 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 326 - 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 308 - If the resulting coefficient of я? be not + 1, divide both members by this coefficient. Complete the square by adding to both members the square of half the coefficient of x.

Page 166 - The product of two fractions is a fraction whose numerator is the product of the numerators of the given fractions, and whose denominator is the product of the given denominators.

Page 470 - We therefore have : (i.) The characteristic of the logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part.

Page 467 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.