Elements of algebra1870 |
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Common terms and phrases
algebraic algebraic quantities binomial clearing the equation Cloth coefficient complete equation completing the square continued fraction cube root Decompose denotes dividend divisor equal equation of fractions EXAMPLES exponent expression Extract the square factors Find the numerical Find the sum find the values Find two numbers following rule fourth powers given equation given number greater greatest common measure Hence inequality last term least common multiple less lettered logarithm mixed quantity monomial multiplicand Multiply negative nth root number of permutations number of terms numerical value obtain original equation perfect square polynomial positive preceding quotient radical sign real roots remainder Required the square Required the sum second degree second member second term shillings simplest form square root substitution subtract third Transform transposing travelled unknown quantity values of x whence whole number zero
Popular passages
Page 59 - ... 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...
Page 12 - That is, 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.
Page 12 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Page 59 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Page 43 - A footman agreed to serve his master for £8 a year and a livery, but was turned away at the end of 7 months, and received only £2 13s.
Page 89 - ... that the intensity of light varies inversely as the square of the distance.
Page 54 - 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...
Page 88 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Page 42 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days ; how many days would the man alone be in drinking it ? Ans.