The Elements of Algebra |
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Common terms and phrases
a² b² a² x² a²x² arithmetical arithmetical mean bushels cents coefficient common factor Complete the square cube root decimal denominator difference digits divided dividend equation EXAMPLE exponent Find the H. C. F. Find the number Find the square Find the sum given number Hence highest common factor integral last term logarithm m² n² m³ n³ mantissa minuend minus Monomial negative series nth root number of dollars polynomial positive series pounds Process quadratic quadratic surd quotient ratio result Second complete divisor second power Second remainder second term Simplify Solution square root Substitute Subtract subtrahend surd third power Transpose trinomial uniting like terms unknown number x² y² x²n x²y
Popular passages
Page 70 - 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 183 - To multiply a fraction by a fraction, multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.
Page 121 - To the product of the numerical coefficients, annex each literal factor with an exponent equal to the sum of the exponents of that letter in both factors.
Page 214 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour?
Page 77 - Observe that the sum of the same powers of two numbers is divisible by the sum of the numbers only when the powers are odd. PRINCIPLES. — 1. ж" — у" гя always divisible by x — y. 2. xn — у" is divisible by x + y only when n is even. 3. x" + y
Page 391 - A ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same quantity to both its terms.
Page 214 - B sets out from the same place and travels in the same direction, at the rate of 5 miles in 3 hours.
Page 151 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.
Page 397 - In any proportion the terms are in proportion by division; that is, the difference of the first two terms is to the second term as the difference of the last two terms is to the fourth.
Page 100 - Divide the first term of the remainder by three times the square of the root already found, and write the quotient for the next term of the root.