Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and Horner's Theorems : and Practical ExamplesA. S. Barnes & Burr, 1860 - 400 páginas |
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Página 17
... equal to each other . Thus , a − b = c + d , indicates that a diminished by bis equal to c increased by d . 10. The sign > , is called the sign of inequality , and is used to indicate that one quantity is greater or less than another ...
... equal to each other . Thus , a − b = c + d , indicates that a diminished by bis equal to c increased by d . 10. The sign > , is called the sign of inequality , and is used to indicate that one quantity is greater or less than another ...
Página 21
... equal to 7 . 26. A polynomial is said to be homogeneous , when all of its terms are of the same degree . The polynomial 3a - 25+ c -4ab + b2 - 5a2c — 4c3 + 2c2d 8a3-4abc 27. A vinculum is homogeneous and of the first degree . is ...
... equal to 7 . 26. A polynomial is said to be homogeneous , when all of its terms are of the same degree . The polynomial 3a - 25+ c -4ab + b2 - 5a2c — 4c3 + 2c2d 8a3-4abc 27. A vinculum is homogeneous and of the first degree . is ...
Página 24
... equal to 67 , 2x alone is equal to 67 minus 19 , or 2x — 67 — 19 , = or performing the subtraction , 2.x 48 . = Hence , is equal to half of 48 , that is 48 x 24 . 2 The less number being 24 , the greater is x + 19 24+ 1943 . And ...
... equal to 67 , 2x alone is equal to 67 minus 19 , or 2x — 67 — 19 , = or performing the subtraction , 2.x 48 . = Hence , is equal to half of 48 , that is 48 x 24 . 2 The less number being 24 , the greater is x + 19 24+ 1943 . And ...
Página 25
... equal to half their sum increased by half their difference ; and the less is equal to half their sum diminished by half their difference . As the form of these results is independent of any particular values attributed to the letters a ...
... equal to half their sum increased by half their difference ; and the less is equal to half their sum diminished by half their difference . As the form of these results is independent of any particular values attributed to the letters a ...
Página 32
... equal to Also , 4a Gab ( -4ac + 3d - 4ab ) , is equal to 6ab + 4ac - 3d + 4ab . 39. REMARK . - From what has been shown in addition and subtraction , we deduce the following principles . 1st . In Algebra , the words add and sum do not ...
... equal to Also , 4a Gab ( -4ac + 3d - 4ab ) , is equal to 6ab + 4ac - 3d + 4ab . 39. REMARK . - From what has been shown in addition and subtraction , we deduce the following principles . 1st . In Algebra , the words add and sum do not ...
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Términos y frases comunes
algebraic expression algebraic quantities approximating fraction arithmetical arithmetical progression becomes called co-efficient contrary signs cube root decimal places deduce denote the number derived polynomial Divide dividend entire number example exponent extract the square figures Find the factors Find the square find the values following RULE formula fourth fractional unit given equation given number gives greatest common divisor hence indicated inequality irreducible fraction last term leading letter least common multiple logarithm mixed quantity monomial multiplicand and multiplier negative roots nth power nth root number of terms obtain operation perfect square positive roots preceding problem proposed equation quotient radical sign real roots remainder required root required to find result second degree second member second term simplest form square root substituted subtract suppose supposition take the equation taken third unknown quantity whence whole number write
Pasajes populares
Página 174 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Página 290 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
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 117 - The first ten numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Roots.
Página 136 - Resolve the quantity under the radical sign into two factors, one of which is the greatest perfect power of the same degree as the radical.
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 con tain 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 62 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator. EXAMPLES FOR PRACTICE.
Página 154 - B, departed from different places at the same time, and travelled towards each other. On meeting, it appeared that A had travelled 18 miles more than B ; and that A could have gone B's journey in 15| days, but B would have been 28 days in performing A's journey. How far did each travel ? Ans.
Página 222 - Consequently, teueя the index of the radical is divisible by the exponent of the power to which it is to be raised, perform the division, leaving the quantity under the radical sign unchanged.