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

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### Common terms and phrases

added amount answer apples becomes bought breadth called cents changed coefficient compound consists contained denominator difference Divide dividend division divisor dollars equal equation example exponent expression factor field figure five four fourth fraction gain gallons given gives greater half Hence 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 simple sold solve subtracted Suppose tens third power third root twice units unknown quantity whole whole number worth write yards zero

### Popular passages

Page 2 - District Clerk's Office. BE IT REMEMBERED, That on the twenty-fourth day of June, AD 1825, in the forty-ninth year of the Independence of the United States o"f America, WARREN COLBDRS, 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 : — " An Introduction to Algebra, upon the Inductive Method of Instruction.

Page 234 - The sum of all the terms. Any three of which being given, the other two may be found.

Page 156 - Note 1. If it happens that the divisor is not contained in the dividend, a cipher must be put in the root, and the next period brought down for a dividend. Note 2. The same rule must be observed for continuing the operation, and pointing off for decimals, as in the square root.

Page 2 - DISTRICT OF MASSACHUSETTS, TO WIT: District Clerk's Office. BE IT REMEMBERED, that on the...

Page 184 - The 3d power of (2 a — d)' is 4 =(2a — rf)'xa = (2a — d)a. That is, any quantity, which is already a power of a compound quantity, may be raised to any power by multiplying its exponent by the exponent of the power to which it is to be raised. 7. Express the 2d power of (3 b — c)4. 8. Express the 3d power of (a — c + 2 d)5. 9. Express the 7th power of (2 a* — 4 c3)3.

Page 24 - What was his age ? 23. A sum of money is to be divided between two persons, A and B, so that as often as A takes £9, B takes £4. Now it happens that A receives £15 more than B. What is the share of each ? 24.

Page 39 - And * of the distance from A to B, added to half the distance from C to D, is three times the distance from B to C. What are the respective distances ? , Ans.

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