A Treatise on AlgebraHarper & Brothers, 1881 - 384 páginas |
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Términos y frases comunes
algebraic arithmetical progression binomial binomial theorem cent Clearing of fractions coefficient common index continued fraction cube root decimal denote digits Divide the number dividend divisible dollars equa equal equations containing EXAMPLES expression Extract the square factors Find the cube Find the fifth Find the fourth Find the number Find the square Find the sum find the values following RULE four fourth power fourth root geometrical progression greater greatest common divisor Hence indicates inequality infinite series last term least common multiple less letters logarithm method monomial negative nth root number of terms obtain positive preceding problem quotient Radical Quantities radical sign ratio Reduce remainder represent required root Required the square Resolve result second degree second term simultaneous equations Solve the equation square root Sturm's Theorem suppose surd three numbers tion unity unknown quantity whence whole number zero
Pasajes populares
Página 72 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Página 97 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Página 141 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Página 46 - 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 294 - Hence, to involve a number by logarithms, we have the following RULE. Multiply the logarithm of the number by the exponent of the power required.
Página 181 - A vintner draws a certain quantity of wine out of a full vessel that holds 256 gallons ; and then filling the vessel with water, draws off the same quantity of liquor as before, and so on for four draughts, when there were only 81 gallons of pure wine left. How much wine did he draw each time ? 50.
Página 284 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Página 96 - A can perform a piece of work in a days, B in b days, and C in c days. In what time will they perform it if all work together ? , abc , Ans.
Página 38 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Página 227 - In arithmetical progression there are five parts to be considered, viz : the first term, the last term, the number of terms, the common difference, and the sum of all the terms.