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

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### Contents

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### Common terms and phrases

added addition algebraic amount apply becomes called cent changing Clearing coefficient common common denominator Completing contained continued cube root decimal Demonstration denominator difference Divide dividend division divisor dollars double equal equation evident EXAMPLES exponent expressed extracting the root extremes factors figures find the value formula four fourth fraction geometrical progression Given given number gives greater greatest common divisor hence hundreds increasing indicated interest known last term least common less letters logarithms manner means miles multiplicand Multiply number of terms obtain operation performing period polynomial preceding principle progression proportion quantity quotient radical raised ratio reasoning Reduce remainder represent result RULE shillings shows simple square root substitute subtraction Suppose tens third tion Transposing twice units unity unknown quantity whence whole number writing written

### Popular passages

Page 268 - 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 136 - 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 167 - 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 277 - 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 161 - 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 267 - 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.