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a b c acº algebraic algebraic characters algebraic quantities Arith arithmetic becomes binomial changing the signs coefficient consequently contains courier cube root deduce denominator denoted divide dividend and divisor division double the product earponent entire numbers enunciation equa equation ac evident example exponent expression extract the root figures follows formula fraction francs given in art given number gives greatest common divisor greatest square letters logarithm manner merator method multiplicand multiplied necessary negative number of arrangements observed obtain operation perfect square polynomials preceding article proposed equation proposed number proposed quantity quan quantity ac question quotient radical sign reduced remainder represented resolved result second degree second member second term simple quantities square root subtract suppose tens third tion tities units unity unknown quantity value of ac vºn vulgar fractions whence whole numbers
Página 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...
Página 108 - On the contrary, the square root of a number, which is not a perfect square, is...
Página 101 - 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.
Página 133 - Adding to the trial-divisor 3 ab, that is, three times the product of the first term of the root by the second, and...
Página 108 - 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.
Página 43 - ... the first term of the divisor, by^>, the second term of the quotient...
Página 33 - 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.
Página 228 - If three quantities are in continued proportion, the product of the extremes is equal to the square of the mean.
Página 229 - 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...