Elements of Algebra with ExercisesMacmillan Company, 1899 - 478 pages |
Contents
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Other editions - View all
Elements of Algebra with Exercises George Egbert Fisher,Isaac Joachim Schwatt No preview available - 2016 |
Common terms and phrases
a₁ a²b a²b² a²x a²x² a³b ab² absolute value arithmetical means arithmetical progression assigned number ax² binomial coefficient Commutative Law complex number continued fraction convergent definition denominator digits divided dividend divisor dollars equal numbers equivalent exactly divisible example illustrates EXERCISES exponent Find the values following expressions following principle given equation given number greater illustrates the following imaginary unit inequality integer irrational number less letter of arrangement logarithm miles monomial multinomial multiplied negative numbers obtained parentheses positive integer positive number positive units powers quadratic equation quadratic surds r₁ radicand rational number reduced remainder required numbers result second member Simplify solution Solve the equation square root Substituting summands symbolically unknown number whence wherein x²y xy² yards
Popular passages
Page 207 - 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 71 - 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 104 - ... 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 324 - 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 306 - 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 164 - 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.