Elements of Algebra |
Contents
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Common terms and phrases
a² b² a5 b² algebraic algebraic quantities Arith arithmetic becomes binomial changing the signs coefficient common divisor consequently courier cube root decimal deduce denominator denoted divi divided dividend and divisor division double the product enunciation equa equal to zero evident example exponent extract the root extract the square fifth power figures follows fraction given in art gives greatest common divisor last term letters manner merator method multiplicand multiplied necessary negative observed obtain operation perfect square polynomials proposed equation proposed number quan question quotient radical quantities radical sign reduced remainder represent resolve result rule given second degree second power second term sign+ simple quantities square root substitute subtract suppose tens terms involving third tion tities units unity unknown quantity vulgar fractions whence whole numbers
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 76 - On the contrary, the square root of a number, which is not a perfect square, is...
Page 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.
Page 93 - 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 76 - 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 155 - If three quantities are in continued proportion, the product of the extremes is equal to the square of the mean.
Page 155 - 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...