## Elements of Algebra |

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### Common terms and phrases

according added algebraic applied approximation arising arithmetic arrangements becomes changing the signs coefficient consequently considered consists contains corresponding courier cube decimal deduce denominator denoted designate determine divide dividend division divisor double employed enunciation equal equation evident example exponent expression extract factors figures follows formula four fraction francs given gives greater greatest indicated involving known less letters logarithm manner means method multiplicand multiplied necessary negative observed obtain operation particular passed performed positive preceding presents problem proposed proposed equation proposed number question quotient reduced reference remainder remark render represent resolved respect result rule second term solution sought square root substitute subtract successively suppose suppress taken tens term third tion units unity unknown quantity whence whole wife write zero

### Popular passages

Page ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...

Page 22 - ... by itself as many times less one as there are units in the exponent of this power.

Page 78 - On the contrary, the square root of a number, which is not a perfect square, is...

Page 71 - Which proves that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units.

Page 87 - Adding to the trial-divisor 3 ab, that is, three times the product of the first term of the root by the second, and...

Page 78 - This process, founded upon what was laid down in article 96, that the square of a fraction is expressed by the square of the numerator divided by the square of the denominator, may evidently be applied to any kind of fraction whatever, and more readily to decimals than to others.

Page 35 - ... the first term of the divisor, by^>, the second term of the quotient...

Page 25 - RULE. Multiply all the terms of the multiplicand by each term of the multiplier, observing that like signs give plus in the product, and unlike signs minus.

Page 152 - If three quantities are in continued proportion, the product of the extremes is equal to the square of the mean.

Page 153 - The first consequent plus or minus its antecedent taken a given number of times, is to the second consequent plus or minus its antecedent taken the same number of times, as the first term is to the third, or as the second is to the fourth. 164. The expression = - returns to b-±.ma a d-\-mc cd — me cb-\-ma ab — ma a...