## A New Introduction to the Science of Algebra... |

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### Contents

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### Common terms and phrases

2d power 4th power abº added algebraic quantities Arith arithmetical progression becomes cent Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction Divide the numerator dividend division equal equation evident ExAMPLEs exponent expressed Extract the cube Extract the square extracting the root Find the cube Find the greatest Find the sum find the value fºr geometrical progression given number gives greater greatest common divisor hence hundreds improper fraction last term least common multiple less number letters logarithms lowest terms mean terms merator minuend mixed number multiplicand Multiply nator nth root number of terms orders of units places of figures polynomial quotient ratio remainder required to find result simple fraction ſº square root subtract subtrahend tens third power tion unity unknown quantity vulgar fraction whence whole number writing written

### Popular passages

Page 270 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.

Page 138 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.

Page 169 - B with $96. A lost twice as much as B; and, upon settling their accounts, it appeared that A had three times as much remaining as B. How much did each lose ? Ans. A lost $96, and B lost $48.

Page 73 - The first term of a ratio is called the antecedent, and the second term the consequent.

Page 78 - In any proportion, the product of the means is equal to the product of the extremes.

Page 91 - If a footman travel 130 miles in 3 days, when the days are 12 hours long; in how many days, of 10 hours each, may he travel 360 miles ? Ans.

Page 279 - A and B 165 miles distant from each other set out with a design to meet; A travels 1 mile the first day, 2 the second, 3 the third, and so on.

Page 88 - If 248 men, in 5 days, of 11 hours each, can dig a trench 230 yards long, 3 wide...

Page 163 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.

Page 269 - A and B set off at the same time, to a place at the distance of 150 miles. A travels 3 miles an hour faster than B, and arrives at his journey's end 8 hours and 20 minutes before him.