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according algebraic Answer applied approximation arising arithmetic arrangements becomes called changing the signs coefficient common consequently considered consists contains corresponding courier cube deduce denominator denoted determine divide dividend division divisor double employed enunciation equal equation evident example exponent expression extract factors figures follows formula four fourth fraction francs given gives greater greatest indicated involving known less letter logarithm manner means method multiplicand multiplied necessary negative observed obtain operation passed performed positive preceding present problem proposed proposed equation question quotient reduced reference remainder remark render represent resolved respect result rule second term separate simple quantities solution sought square root substitute subtract successively suppose suppress taken tens term third tion units unity unknown quantity whence whole wife write
Side 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...
Side 80 - On the contrary, the square root of a number, which is not a perfect square, is...
Side 73 - 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.
Side 89 - Adding to the trial-divisor 3 ab, that is, three times the product of the first term of the root by the second, and...
Side 80 - 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.
Side 35 - ... the first term of the divisor, by^>, the second term of the quotient...
Side 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.
Side 152 - If three quantities are in continued proportion, the product of the extremes is equal to the square of the mean.
Side 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...