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 73
... two parts , connected by the sign of equality . The part on the left of this sign is called the first member , that on the right the second member . The second member of an equation is often 0 . 73. An equation may contain one unknown ...
... two parts , connected by the sign of equality . The part on the left of this sign is called the first member , that on the right the second member . The second member of an equation is often 0 . 73. An equation may contain one unknown ...
Página 77
... Second Transformation . 79. The object of the second transformation is to change any term from one member an equation to the other . Let us take the equation . ax + b d Cx . If we add cx to both members , the equality will not be de ...
... Second Transformation . 79. The object of the second transformation is to change any term from one member an equation to the other . Let us take the equation . ax + b d Cx . If we add cx to both members , the equality will not be de ...
Página 78
... members all the algebraic operations indicated . II . Transpose all the terms containing the unknown quantity to the first member , and all the known terms to the second member , and reduce both members to their simplest form . III ...
... members all the algebraic operations indicated . II . Transpose all the terms containing the unknown quantity to the first member , and all the known terms to the second member , and reduce both members to their simplest form . III ...
Página 90
... second , and both members of the second equation by 5 , the co - efficient of y in the first , we obtain , 8x 10y ... member to member , we find 23x115 . In this case y has been eliminated by addition . Again , let us take the equations ...
... second , and both members of the second equation by 5 , the co - efficient of y in the first , we obtain , 8x 10y ... member to member , we find 23x115 . In this case y has been eliminated by addition . Again , let us take the equations ...
Página 91
... second equation from the first , member from member , we find , y = = 2 . Here , x has been elimir.ated by subtraction . In a similar manner we may eliminate one unknown quantity between any two equations of the first degree containing ...
... second equation from the first , member from member , we find , y = = 2 . Here , x has been elimir.ated by subtraction . In a similar manner we may eliminate one unknown quantity between any two equations of the first degree containing ...
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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.