## An Introduction to Algebra Upon the Inductive Method of Instruction |

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### Contents

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### Common terms and phrases

1)th term 12 rods 3d power 3d root a b c a b d A's share added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels cº-H coefficient compound interest compound quantities contained decimal denominator difference divide the number dividend division divisor equal equation example exponent expression factor figure find the root formula fourth fraction gallons gives greater Hence length less letter logarithm merator miles multiplicand negative quantity number of dollars number of terms observe pears quan question quotient remainder required to find rule second power second root second term shillings sold subtracted Suppose third power third root tities twice unknown quantity whole number yards zero

### Popular passages

Page 31 - many days did he work, and how many days was he idle ? Let x = the number of days he worked.

Page 34 - A certain person has two silver cups, and only one cover for both. The first cup weighs 12 oz. If the first cup be covered it weighs twice as much as the other cup, but if the second be covered it weighs three times as much as the first.

Page 93 - 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.

Page 262 - ... which was moving at the rate of 9 miles in 4 hours. B overtook the same drove of geese at the 45th mile stone, and met the same stage waggon exactly forty minutes before he came to the 31st mile stone. Where was B when A reached London ? (57.

Page 86 - It has been shown above that if both numerator and denominator be multiplied by the same number, the value of the fraction will not be altered. If...

Page 13 - 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 90 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.

Page 224 - The sum of all the terms. Any three of which being given, the other two may be found.