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

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### Common terms and phrases

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

### Popular passages

Page 2 - Clerk's Office. BE IT REMEMBERED, that on the ninth day of September, AD 1818, and in the forty-third year of the Independence of the United States of America, Samuel Swett of the said district has deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : Historical and topographical Sketch of Bunker Hill Battle, with a Plan.

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

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 - 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 etching historical and other prints.

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...

Page 33 - B gained a sum less by £40 than twice the sum A had lost ; when it appeared that B had twice as much money as A. What money did each begin with ? Let x be the number of pounds each had at first.

Page 92 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...

Page 229 - Hence, any term may be found by adding the product of the common difference by the number of terms less one, to the first term. Example.

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

Page 271 - Divide the number 14 into two such parts, that the quotient of the greater divided by the less, shall be to the quotient of the less divided by the greater as 16 to 9.