# The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion, and the Progressions, with an Elemenary and Practial View of Logarithms, a Brief Treatment of Numerical Higher Equations, and a Chapter on the Business Rules of Arithmetic Treated Algebraically

Sheldon & Company, 1878 - Algebra - 439 pages

### Popular passages

Page 112 - Multiply each numerator into all the denominators, except its own, for a new numerator, and all the denominators into each other continually, for a common denominator.
Page 75 - A Common Multiple of two or more numbers is an integral number which contains each of them as a factor, or which is divisible by each of them. The Least Common Multiple of two or more numbers is the least integral number which is divisible by each of them.
Page 89 - LEMMA 4. — A common divisor of two numbers is a divisor of their sum and also of their difference.
Page 101 - The Value of a fraction is the quotient of the numerator divided by the denominator.
Page 75 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Thu4, 18 is the greatest, common divisor of 36 and 54, since it is the greatest number that will divide each of them without a remainder.
Page 87 - And, since the product of any number of factors of a number is a divisor of that number, the product of all the common prime factors of two or more numbers is a common divisor of those numbers.
Page 275 - 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.
Page 57 - 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 14 - A Positive Integral Exponent signifies that the number affected by it is to be taken as a factor as many times as there are units in the exponent. It is a kind of symbol of multiplication. Illustration. 2s (read, " 2, third power "), signifies that two is to be taken three times as a factor, ie, 2x2x2, or 8.