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University Algebra: Designed for the Use of Schools and Colleges
Uten tilgangsbegrensning - 1882
added algebraic amount apply arithmetical assume becomes binomial called cent changed coefficient common containing corresponding cube root decimal denominator difference distance divided dividend division equal EXAMPLES Expand exponent expression Extract the square factors figures Find Find the value four fourth fraction given given equation gives greater greatest common divisor Hence increased indicates integral interest last term less letter limiting logarithm means method miles multiplied negative Note observe obtain operation polynomial positive preceding problem progression proportion quadratic quotient radical sign ratio Reduce remainder represent result RULE second term solution Solve the equation square root Substituting Subtracting suppose taken term Theorem third tion Transposing twice uniting unknown quantity Whence write written zero
Side 34 - 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.
Side 162 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Side 52 - The GREATEST COMMON DIVISOR of two or more quantities is the greatest quantity that will divide each of them without a remainder.
Side 151 - RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Side 265 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Side 135 - A banker has two kinds of money. It takes a pieces of the first kind to make a dollar, and b pieces of the second kind. If he is offered a dollar for с pieces, how many of each kind must he give ? 81.
Side 85 - A Complex Fraction is one having a fraction in its numerator or denominator, or both. It may be regarded as a case in division ; its numerator answering to the dividend, and its denominator to the divisor. EXAMPLES. 1. Reduce — — to it
Side 147 - If the signs of all the terms of an inequality be changed, the sign of inequality must be reversed. For, to change all the signs is equivalent to...