An Introduction to Algebra, and to the Solution of Numerical Equations1851 - 12 páginas |
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Página v
... former publication I have extended these principles to the more advanced parts of the subject - to the general investigation of the Binomial Theorem ; to the doctrine of Series ; to the elements of Probabilities , & c . But it is not ...
... former publication I have extended these principles to the more advanced parts of the subject - to the general investigation of the Binomial Theorem ; to the doctrine of Series ; to the elements of Probabilities , & c . But it is not ...
Página 15
... former are fixed and settled by common consent : the principal of them are those which follow . DEFINITIONS . 2. The sign + , called plus , indicates the operation of addi- tion , implying that the quantity before which it is written is ...
... former are fixed and settled by common consent : the principal of them are those which follow . DEFINITIONS . 2. The sign + , called plus , indicates the operation of addi- tion , implying that the quantity before which it is written is ...
Página 21
... former is 16 ; the sum of the latter 12 ; their difference is 4 in favour of the positive quantities : hence the sum , or aggregate of the whole column of quantities , is plus 4x , the sign being suppressed as unnecessary . ( 2 ) . In ...
... former is 16 ; the sum of the latter 12 ; their difference is 4 in favour of the positive quantities : hence the sum , or aggregate of the whole column of quantities , is plus 4x , the sign being suppressed as unnecessary . ( 2 ) . In ...
Página 34
... former , and then to remove these outer ones afterwards ; thus , the last expression , upon removing the inner brackets , is 2 { a - 3b + 3c } : hence the expression , free of brackets , is 2a - 6b + 6c . SUBTRACTION . 24. Subtraction ...
... former , and then to remove these outer ones afterwards ; thus , the last expression , upon removing the inner brackets , is 2 { a - 3b + 3c } : hence the expression , free of brackets , is 2a - 6b + 6c . SUBTRACTION . 24. Subtraction ...
Página 48
... former , to join two groups of letters together , namely , the groups in multiplier and multiplicand ; and , in the latter , to write down those which , joined to one group ( that in the divi- sor ) , will make up the letters in another ...
... former , to join two groups of letters together , namely , the groups in multiplier and multiplicand ; and , in the latter , to write down those which , joined to one group ( that in the divi- sor ) , will make up the letters in another ...
Otras ediciones - Ver todas
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.