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

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### Häufige Begriffe und Wortgruppen

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

### Beliebte Passagen

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

Seite 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.

Seite 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.

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

Seite 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...

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

Seite 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.

Seite 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.

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

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