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added algebraic arithmetical Arrange binomial called cents changed Clear coefficient common factor complete divisor containing cost decimal denominator difference digits direction Divide dividend division dollars equal equation EXAMPLE Exercise Explanation exponent expression Extract the square factors figures Find the number four fourth fraction given gives greater Hence hour increased indicated integral kind less letters logarithm lowest mantissa means method miles minus Multiply negative Note operation Polynomial positive pounds Principle Process proportion quadratic quotient ratio Reduce remainder represent result second term Separate Similarly simple Simplify Solution Solve square root Substitute Subtract surd taken term third Transpose travels trial divisor twice units unknown number Write written
Página 66 - 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.
Página 117 - 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.
Página 210 - 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?
Página 73 - 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
Página 387 - A ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same quantity to both its terms.
Página 210 - B sets out from the same place and travels in the same direction, at the rate of 5 miles in 3 hours.
Página 147 - 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.
Página 393 - 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.