The Elements of Algebra

Εξώφυλλο
Silver, Burdett, 1892 - 402 σελίδες

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Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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?
Σελίδα 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
Σελίδα 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.
Σελίδα 214 - B sets out from the same place and travels in the same direction, at the rate of 5 miles in 3 hours.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.

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