Elementary Algebra |
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Elementary Algebra: Embracing the First Principles of the Science Charles Davies No preview available - 2016 |
Elementary Algebra: Embracing the First Principles of the Science Charles Davies No preview available - 2016 |
Common terms and phrases
algebraic algebraic quantity arithmetical arithmetical means arithmetical progression binomial called cents Clear the equation common difference complete equation completing the square contrary sign cube denominator denote the number dividend divisor dollars double product equation gives equation x2 EXAMPLES exponent extracting the square factors fifth power find a number Find the square Find the sum Find the values Find two numbers following RULE fourth power geometrical progression give a sum Give the rule given number greater Hence John known terms last term leaps least common multiple Let the number letter logarithm monomial multiplied number added number of terms obtain perfect square polynomial quotient radical sign ratio remainder second degree second member second term simplest form square root Substituting this value subtract sum equal third trinomial units unknown quantity values of x Verification whence yards
Popular passages
Page 160 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product 'from the dividend, and to the remainder bring down the next period for a new dividend.
Page 157 - 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 67 - Then divide the first term of the remainder by the first term of the divisor...
Page 60 - I. Divide the coefficient of the dividend by the coefficient of the divisor.
Page 197 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
Page 138 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans. A 14JA days, B 17fa, and C 23JT.
Page 138 - A person bought a chaise, horse, and harness, for £60 ; the horse came to twice the price of the harness, and the chaise to twice the price of the horse and harness ; what did he give for each?
Page 111 - Two persons, A and B, lay out equal sums of money in trade; A gains $126, and B loses $87, and A's money is now double of B's : what did each lay out ? Ans. $300.
Page 179 - It has already been shown (Art. 46), that, (a + b)2 = a2 + 2ab + b2 ; that is, The square of a binomial is equal to the square of the first term plus twice the product of the first term by the second, plus the square of the second.
Page 57 - 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.