## The Complete Algebra ... |

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added affected answer appears Arithmetic arranged becomes binomial called cents clear coefficient Combine common considered contains cube root Demonstration denominator destroy difference Divide dividend division divisor equal factors equation evident EXAMPLES Explanation exponent expression Extract figure find the values fraction Given gives greater Hence Illustration increased indicated integral less letter literal logarithm lowest manner means method mixed Model Multiply negative notation obtain Operation pass performed period polynomial positive Prob problem Prod Prop proportion pupil Quot quotient radical ratio reason Reduce remainder represented resolved Result RULE Scholium similar simple Solution Solve square root Substituting subtract Suggestion taken term third true twice units unknown quantity verify Whence whole write

### Popular passages

Page 104 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.

Page 51 - 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 - 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.

Page 261 - 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 142 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.

Page 79 - Since a factor and a, divisor are the same thing, all the common factors are all the common divisors. 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 228 - ... the head and tail together ; what is the length of the fish ? 3. The head of a fish is 12 inches long, the tail is as long as the head + £ of the body, and the body is as long as the head and tail ; what is the length of the fish?

Page 273 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.

Page 4 - A divisor of two numbers is a divisor of their sum, and also of their difference.

Page 67 - 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.