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

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### Common terms and phrases

added amount answer apiece appears apples approximate becomes bought breadth called cents changed coefficient compound consisting contain decimal 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 known larger learner length less letter logarithm manner miles Multiply necessary negative observe obtained operations pears performed persons positive principle proportion question quotient raised received reduced remainder result rods root rule says second power share sheep shillings shows simple sold solve subtracted Suppose taken tens term third power third root twice units unknown quantity whole whole number worth write yards zero

### Popular passages

Page 82 - ... way. It can then only be expressed. 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 T.

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 103 - 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 174 - ... shillings a head by them. How many sheep did he buy, and what was the price of each ? 10. A person bought two pieces of cloth of different sorts; of which the finer cost 4s. a yard more than the other. For the finer he paid £18 ; but for the coarser, which exceeded the finer in length by 2 yards, he paid only £16. How many yards were there in each piece, and what was the price of each .? 11.

Page 238 - The sum of all the terms. Any three of which being given, the other two may be found.

Page 234 - London to go round the world, (24590 miles,) one going East and the other West. A goes one mile the first day, two the second, three the third, and so on, increasing his rate one mile per day.

Page 17 - 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 233 - 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. Example. How many strokes does the hammer of a clock strike in 12 hours ? a — 1, I= 12, and n = 12.

Page 14 - Let x denote one half the number of barrels. 15. From two towns, which are 187 miles apart, two travellers set out at the same time with an intention of meeting ; one of them travels at the rate of 8, the other of 9 miles each day. In how many days will they meet?