Elements of Algebra, المجلد 1Hilliard, Gray, Little and Wilkins, 1831 - 298 من الصفحات |
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طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
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
مقاطع مشهورة
الصفحة 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.
الصفحة 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.
الصفحة 116 - On the contrary, the square root of a number, which is not a perfect square, is...
الصفحة 249 - If three quantities are in continued proportion, the product of the extremes is equal to the square of the mean.
الصفحة 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...
الصفحة 43 - ... the first term of the divisor, by^>, the second term of the quotient...
الصفحة 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.
الصفحة 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...
الصفحة 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.
الصفحة 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.