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 |
Dentro del libro
Resultados 1-5 de 34
Página 33
... consider the case in which both factors are monomials . Let it be required to multiply 7a3b2 by 4a2b ; the operation may be indicated thus , 7a3b2 × 4a2b , or by resolving both multiplicand and multiplier into their simple factors ...
... consider the case in which both factors are monomials . Let it be required to multiply 7a3b2 by 4a2b ; the operation may be indicated thus , 7a3b2 × 4a2b , or by resolving both multiplicand and multiplier into their simple factors ...
Página 35
... considering the product of ab by cd , we may deduce the following rule for signs , in multiplication . When two terms of the multiplicand and multiplier are affected with the same sign , their product will be affected with the sign + ...
... considering the product of ab by cd , we may deduce the following rule for signs , in multiplication . When two terms of the multiplicand and multiplier are affected with the same sign , their product will be affected with the sign + ...
Página 38
... consider the product with reference to any letter common to the multiplicand and multiplier : Then the irreduci ble terms are , 1st . The term produced by the multiplication of the two terms of the multiplicand and multiplier which ...
... consider the product with reference to any letter common to the multiplicand and multiplier : Then the irreduci ble terms are , 1st . The term produced by the multiplication of the two terms of the multiplicand and multiplier which ...
Página 39
... consider the letter b , we see that the product of be irreducible , also that of 3a2b by a2b . - ab1 by - ab2 , must 47. The following formulas depending upon the rule for mul- tiplication , will be found useful in the practical ...
... consider the letter b , we see that the product of be irreducible , also that of 3a2b by a2b . - ab1 by - ab2 , must 47. The following formulas depending upon the rule for mul- tiplication , will be found useful in the practical ...
Página 40
... considering the last three results , it is perceived that their composition , or the manner in which they are formed from the multiplicand and multiplier , is ... consider the case in which both +0 [ CHAP . II . ELEMENTS OF ALGEBRA .
... considering the last three results , it is perceived that their composition , or the manner in which they are formed from the multiplicand and multiplier , is ... consider the case in which both +0 [ CHAP . II . ELEMENTS OF ALGEBRA .
Contenido
13 | |
15 | |
28 | |
35 | |
41 | |
49 | |
55 | |
61 | |
205 | |
211 | |
217 | |
223 | |
234 | |
242 | |
250 | |
260 | |
70 | |
77 | |
83 | |
96 | |
103 | |
110 | |
117 | |
125 | |
128 | |
133 | |
136 | |
143 | |
155 | |
162 | |
269 | |
283 | |
289 | |
302 | |
312 | |
326 | |
335 | |
342 | |
349 | |
355 | |
362 | |
371 | |
379 | |
392 | |
Otras ediciones - Ver todas
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.