## A Treatise on Algebra: Containing the Latest Improvements. Adapted to the Use of Schools and Colleges |

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### Contents

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### Common terms and phrases

45 cents according added affected algebraic arranged becomes called cents coefficients column consequently consider contain continued corresponding cube degree denominator derived determine difference divide divisible divisor elimination employed entire equal evident EXAMPLE exponent expression extract factors figures final formula four fourth fraction functions give given greater greatest Hence HISTORY imaginary increased interest known least less letters limit logarithm manner means method modulus multiplied necessary negative observe obtain operation polynomial positive preceding present prime number problem proposed equation prove quadratic quotient radical ratio reduced remainder represent resolved respectively result roots rule satisfy second term simple solution square square number square root substituting subtract successive suppose taken third tion transformed units unity unknown quantity variations whence whole number write zero

### Popular passages

Page 76 - Multiply the divisor thus increased, by the second term of the root, and subtract the product from the remainder.

Page 23 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

Page 237 - B set out from two towns, which were distant 247 miles, and travelled the direct road till they met. A went 9 miles a day ; and the number of days, at the end of which they met, was greater by 3 than the number of miles which B went in a day. How many miles did each go ? 17.

Page 261 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 122 - Proportion is an equality of ratios. Thus, if a, b, c, d are four quantities, such that a, when divided by b, gives the same quotient as c when divided by d, then a, b, c, d are called proportionals, and we say that a is to b as c is to d...

Page 107 - There will be as many figures in the root as there are periods in the given number.

Page 236 - A's journey. How far did each travel ? A 72 miles. B 54 miles. 9. A company at a tavern had £8 15s. to pay for their reckoning ; but before the bill was settled, two of them left the room, and then those who remained had 10s. apiece more to pay than before : how many were there in the company ? Ans. 7.

Page 237 - There are two square buildings, that are paved with stones, a foot square each. The side of one building exceeds that of the other by 12 feet, and both their pavements taken together contain 2120 stones. What are the lengths of them separately ? Ans.

Page 69 - To divide powers of the same base, subtract the exponent of the divisor from the exponent of the dividend.

Page 49 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.