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

### Contents

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### Common terms and phrases

12 rods 3d power 3d root a b c A's share a+b+c a² b² a² b³ ac² added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities contained decimal denominator difference divide the number dividend division divisor equal equation example exponent expression factor figure formula fourth fraction gallons gives greater Hence length less Let the learner letter logarithm lowest terms merator miles multiplicand negative quantity number of terms observe pears quan question quotient remainder required to find rule second power second root second term shillings sold square rods subtracted Suppose third power third root tities twice unknown quantity whole number yards zero

### Popular passages

Page 2 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...

Page 236 - S ; any three of which being given, the other two may be found.

Page 17 - ... of the length of the body, and the body is as long as the head and tail both. What is the whole length of the fish ? 17.

Page 276 - A and B travelled on the same road and at the same rate from Huntingdon to London. At the 50th mile stone from London, A overtook a drove of geese which were proceeding at the rate of three miles in two hours ; and two hours afterwards met a stage waggon, 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.

Page 231 - Hence, the sum of a series of numbers in progression by difference is one half of the product of the number of terms by the sum of the first and last terms.

Page 222 - Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding...

Page 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.

Page 96 - 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 156 - Take three times the square of the root just found for a trial divisor, and see how often it is contained in the dividend, and place the quotient for a second figure of the root. Then cube the figures of the root thus found, and if their cube be greater than the first two periods...

Page 81 - Hence we derive the following RULE. Divide the coefficient of the dividend by the coefficient of the divisor, and strike out the letters of the divisor from the dividend.