Elements of Algebra, Volume 1 |
Contents
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Common terms and phrases
a² b² algebraic Algebraic Quantities Arith arithmetic b² c² becomes binomial changing the signs coefficient common divisor consequently courier cube root deduce denominator denoted divide dividend division double the product entire numbers enunciation equa equal evident example exponent expression extract the root factors figures follows formula fraction given in art given number gives greatest common divisor letters logarithm method multiplicand multiplied necessary negative number of arrangements observed obtain operation perfect square proposed equation proposed number proposed quantity quan question quotient radical quantities radical sign reduced remainder represented resolve result second degree second term simple quantities square root substitute subtract suppose tens tion tities units unity unknown quantity whence whole numbers
Popular passages
Page ii - BBOWN, of the said district, hath deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : " Sertorius : or, the Roman Patriot.
Page 110 - 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 116 - On the contrary, the square root of a number, which is not a perfect square, is...
Page 249 - If three quantities are in continued proportion, the product of the extremes is equal to the square of the mean.
Page 145 - 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 43 - ... the first term of the divisor, by^>, the second term of the quotient...
Page 44 - 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.
Page 95 - Ans. 72, 63, 66. 11. Is it possible to pay £50 by means of guineas and three shilling pieces only. Ans. Impossible. 12. A merchant drew every year upon the stock he had in trade, the sum of a dollars for the expense of his family. His profits each year, were the...
Page 165 - ... the cube of the tens, three times the square of the tens multiplied by the units, three times the tens multiplied by the square of the units, and the cube of the units.
Page 39 - But when m<n, in which case the division cannot be effected algebraically, it has been agreed to subtract the exponent of the divisor from that of the dividend.