Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and Horner's Theorems, and Practical ExamplesA. S. Barnes & Company, 1857 - 400 páginas |
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Página 16
... writing the letters one after another , without interposing any sign . Thus , ab is the same as a × b , or a.b ; and abc ... write 5 6 , without confounding the product with the number 56 . The result of a multiplication is called the ...
... writing the letters one after another , without interposing any sign . Thus , ab is the same as a × b , or a.b ; and abc ... write 5 6 , without confounding the product with the number 56 . The result of a multiplication is called the ...
Página 17
... writing a ¿ under a , and drawing a line between them , as ; or by writing b b on the right of a , and drawing a line between them , as a | b . 9. The sign , is called the sign of equality , and indicates that the two quantities between ...
... writing a ¿ under a , and drawing a line between them , as ; or by writing b b on the right of a , and drawing a line between them , as a | b . 9. The sign , is called the sign of equality , and indicates that the two quantities between ...
Página 18
... writing the quantity once , and placing a number to the right and above it , to show how many times it is taken as a factor . Thus , αχαχαχαχα may ... write 7a4b3 18. A root of a quantity , is a quantity 18 [ CHAP . I. ELEMENTS OF ALGEBRA .
... writing the quantity once , and placing a number to the right and above it , to show how many times it is taken as a factor . Thus , αχαχαχαχα may ... write 7a4b3 18. A root of a quantity , is a quantity 18 [ CHAP . I. ELEMENTS OF ALGEBRA .
Página 26
... write them one after the other , each with its proper sign , and the resulting polynomial will be the simplest expression for the sum . For example , let it be required to add together the mono- mials 3a , 56 and 2c ; we connect them by ...
... write them one after the other , each with its proper sign , and the resulting polynomial will be the simplest expression for the sum . For example , let it be required to add together the mono- mials 3a , 56 and 2c ; we connect them by ...
Página 27
... Write down the quantities to be added , with their respective . signs , so that the similar terms shall fall in the same column . II . Reduce the similar terms , and annex to the results those terms which cannot be reduced , giving to ...
... Write down the quantities to be added , with their respective . signs , so that the similar terms shall fall in the same column . II . Reduce the similar terms , and annex to the results those terms which cannot be reduced , giving to ...
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Términos y frases comunes
algebraic expression algebraic quantities approximating fraction arithmetical arithmetical progression becomes called co-efficient common difference contrary signs cube root deduce denote the number derived polynomial Divide dividend entire number equal exactly divisible example exponent extract the square figures Find the factors find the values following RULE formula fractional unit given equation given number gives greater number greatest common divisor hence indicated inequality irreducible fraction last term leading letter least common multiple logarithm mixed quantity monomial multiplicand and multiplier nth power nth root number of terms obtain operation perfect square positive roots preceding problem proposed equation quotient radical sign real roots Reduce the polynomial remainder required to find result second degree second member second term simplest form square root substituted subtract suppose taken third transformed equation unknown quantity whence whole number X₁
Pasajes populares
Página 121 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Página 174 - For, we can find the value of one of the unknown quantities in terms of the other and known quantities...
Página 286 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Página 39 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Página 10 - Logic is a portion of the art of thinking; language is evidently, and by the admission of all philosophers, one of the principal instruments or helps of thought; and any imperfection in the instrument or in the mode of employing it is confessedly liable, still more than in almost any other art, to confuse and impede the process and destroy all ground of confidence in the result.
Página 200 - RULE. I. Separate the given number into periods of three figures each, beginning at the right hand ; the left hand period will often contain less than three places of figures.
Página 100 - If A and B together can perform a piece of work in 8 days, A and c together in 9 days, and B and c in 10 days, how many days will it take each person to perform the same work alone.
Página 35 - We have, then, for the multiplication of polynomials, the following RULE. Multiply all the terms of the multiplicand by each term of the multiplier in succession, aff'ccting the product of any two terms with the sign plus, when tlieir signs are alike, and with the sign minus, when their signs
Página 41 - Divide the coefficient of the dividend by the coefficient of the divisor.
Página 200 - The cube of a number is equal to the cube of the tens, plus three times the product of the square of the tens by the units, plus three times the product of the tens by the square of the units, plus the cube of the units.