An Introduction to Algebra, and to the Solution of Numerical Equations1851 - 12 páginas |
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Página vii
... things have been introduced which , to a fastidious critic , may seem of questionable pro- priety in a book designed for beginners : I allude to the topics discussed in the last three chapters of the work . One of these chapters is ...
... things have been introduced which , to a fastidious critic , may seem of questionable pro- priety in a book designed for beginners : I allude to the topics discussed in the last three chapters of the work . One of these chapters is ...
Página 14
... thing beyond the powers of arithmetic , because the symbols of this science are all of particu- lar interpretation . The first thing that a learner has to do , in commencing the study of algebra , is to acquire the ability of performing ...
... thing beyond the powers of arithmetic , because the symbols of this science are all of particu- lar interpretation . The first thing that a learner has to do , in commencing the study of algebra , is to acquire the ability of performing ...
Página 15
... things the nature of which we know nothing . Learners are also apt to fancy that processes performed with letters are more difficult than the corresponding processes with figures : the contrary is however the case ; and in going through ...
... things the nature of which we know nothing . Learners are also apt to fancy that processes performed with letters are more difficult than the corresponding processes with figures : the contrary is however the case ; and in going through ...
Página 16
... things of the same kind , make 8 of those things ; and in like manner , 5a - 3a would be 2a . It is scarcely necessary to inform the learner , that in every problem or operation of algebra the same letter always represents the same thing ...
... things of the same kind , make 8 of those things ; and in like manner , 5a - 3a would be 2a . It is scarcely necessary to inform the learner , that in every problem or operation of algebra the same letter always represents the same thing ...
Página 27
... thing . But to find a proposed root of a given quantity , that is , to perform the reverse operation , is often a matter of consider- able difficulty , as the learner will be prepared to expect from his recollection of the processes for ...
... thing . But to find a proposed root of a given quantity , that is , to perform the reverse operation , is often a matter of consider- able difficulty , as the learner will be prepared to expect from his recollection of the processes for ...
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An Introduction to Algebra, and to the Solution of Numerical Equations John Radford Young Sin vista previa disponible - 2015 |
Términos y frases comunes
actually algebraists arithmetic brackets called changed coefficients common denominator complete square Completing the square compound quantity consequently cube root difference divi Divide dividend equa equal EXAMPLES FOR EXERCISE exponents extract the square Extracting the root factors figure formula given greatest common measure hence imaginary improper fraction indicated known leading term learner least common multiple letters logarithms multiplication and division multiplied namely notation nth root operation pair polynomial positive preceding principle proper signs proposed equation quadratic equation quadratic surd question quotient radical sign ratic rational reduced remainder represent result rule rule of signs second term side simple equation simple quantity simultaneous equations solution solved square root step substitution symbols thing third tion transformed equation Transposing transposition trial divisor unknown quantity unknown terms write zero
Pasajes populares
Página 69 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Página 144 - If the number be divided by the sum of the digits, the quotient will be 26; but, if 198 be added to it, the digits will be inverted.
Página 144 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, the sum, difference, product, and quotient so obtained, will be all equal to each other.
Página 182 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.
Página 141 - If A and в together can perform a piece of work in 8 days, A and с together in 9 days, and в and с in 10 days, how many days will it take each person to perform the same work alone.
Página 142 - What fraction is that, to the numerator of which, if 4 be added, the value is 1, but if 7 be added to its denominator, its value will be | ? Ans.
Página 130 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Página 180 - A farmer bought some sheep for £72, and found that if he had received 6 more for the same money, he would have paid £1 less for each. How many sheep did he buy ?
Página 142 - ... 6. There is a number consisting of two digits, which is equal to four times the sum of those digits; and if 18 be added to it, the digits will be inverted. What is the number?
Página 126 - Two workmen A and B were engaged to work for a certain number of days at different rates. At the end of the time, A who had played 4 of those days had 75 shillings to receive ; but B who had played 7 of those days received only 48 shillings.