Elementary Algebra |
Other editions - View all
Common terms and phrases
7th term a+b-c a²+2ab+b² a²+b² Algebra arithmetic means Arithmetical Progression Arithmetical Series Binomial Theorem coefficient Common Factor cube denominator denote difference digits Divide divisor equal Examples expansion find the L.C.M. Find the number Find the sum find the value five terms following expressions four terms Geometrical Progression Given log greater Harmonical Mean Hence Highest Common Factor last term less Multiply negative nonary number of combinations number of permutations number of terms positive integers proper fraction quadratic equation quantity quotient ratio remainder result scale whose radix second term senary scale septenary shew sides Simplify solve the equation square root subtract surd take the square Theorem things taken unknown symbol whole number
Popular passages
Page 254 - ... multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth: or, if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth...
Page 328 - A number is divisible by 11 if the difference between the sum of the digits in the even places and the sum of the digits in the odd places is either 0 or a multiple of 11.
Page 80 - If both terms of a fraction be divided by the same number, the value of the fraction will remain unchanged.
Page 288 - Since the arrangement of candidates on each slate is important (each arrangement represents people running for different political offices), this is a permutations problem. Recalling the general formula for the number of permutations of n things taken r at a time, nPr = n\l(n - r)!, we replace n by 10 and r by 3 to obtain 10!
Page 292 - Recall the general formula for the number of combinations of n different things taken r at a time, C(n,r) n\ r!(nr)!
Page 171 - Then divide the first term of the remainder by the first term of the divisor...
Page 80 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Page 264 - Find its diameter, having given that the area of a circle varies as the square of its diameter. 18. The volume of a pyramid varies jointly as the area of its base and its altitude. A pyramid, the base of which is 9 feet square, and the height of which is 10 feet, is found to contain 10 cubic yards. What must be the height of a pyramid upon a base 3 feet square, in order that it may contain 2 cubic yards ? CHAPTER XXI.
Page 328 - Suppose that a*=n, then x is called the logarithm of n to the base a : thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The logarithm of n to the base a is written log.
Page 253 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...