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

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### Contents

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### Common terms and phrases

3d power added amount answer apiece appears apples approximate becomes bought breadth called cents changed coefficient compound consisting contain decimal denominator difference divided dividend division divisor dollars equal equation example exponent expressed factor figure five formula four fourth fraction gain gallons given gives greater half Hence horse interest learner length less letter logarithm manner miles multiplied negative number of terms observe obtained operations pears performed persons positive principle proportion quantity question quotient raised received reduced remainder result rods root rule second power share sheep shillings shows sold solve square subtracted Suppose taken tens third power third root twice units unknown quantity whole whole number write yards zero

### Popular passages

Page 101 - 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 2 - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled an act supplementary to an act, entitled an act for the encouragement of learning by securing the copies of maps, charts and books to the authors and proprietors of such copies during the times therein mentioned and extending the benefits thereof to the arts of designing, engraving and...

Page 82 - The usual way of expressing division, as has already been explained, is by writing the divisor under the dividend in the form of a fraction. Thus a divided by b is expressed ^. This gives rise to fractions in the same manner as in arithmetic.

Page 236 - The sum of all the terms. Any three of which being given, the other two may be found.

Page 203 - The exponent of a in the first term is the same as the exponent of the power to which the binomial is raised, and it diminishes by one in each succeeding term.

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 229 - The points ..... are used to show that some terms are left out of the expression, as it is impossible to express the whole until a particular value is given to n.

Page 222 - 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 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.

Page 275 - ... 8 days. But on the evening of the sixth day, 100 men were killed in a sally, and afterwards the mortality increased to 10 daily. Supposing the stock of provisions unconsumed at the end of the sixth day to support 6 men for 61 days; it is required to find how long it would support the garrison, and the number of men alive when the provisions were exhausted.