An Introduction to Algebra, and to the Solution of Numerical Equations1851 - 12 páginas |
Dentro del libro
Resultados 1-5 de 33
Página 33
... changed . And this is a principle that must be carefully remembered . plus sign , prefixed to a bracketed quantity , leaves the signs of the component terms undisturbed , though the brackets be re- moved . From thus understanding the ...
... changed . And this is a principle that must be carefully remembered . plus sign , prefixed to a bracketed quantity , leaves the signs of the component terms undisturbed , though the brackets be re- moved . From thus understanding the ...
Página 35
... changed signs , is added . The rule for subtraction is , therefore , simply this , namely : - RULE . Change the signs of all the terms in the subtractive quantity , or conceive them to be changed , and then proceed as in addition : the ...
... changed signs , is added . The rule for subtraction is , therefore , simply this , namely : - RULE . Change the signs of all the terms in the subtractive quantity , or conceive them to be changed , and then proceed as in addition : the ...
Página 36
... changed , the coefficient of the second term will be —b ; which , together with -a above , gives the sum ( a + b ) : the coeffi- cient of the third term , after the change , is b + c ; which , together with the coefficient a - b , above ...
... changed , the coefficient of the second term will be —b ; which , together with -a above , gives the sum ( a + b ) : the coeffi- cient of the third term , after the change , is b + c ; which , together with the coefficient a - b , above ...
Página 52
... changed , to prevent the leading term in each from having a minus sign ; for the fewer the signs the neater is the appearance of an algebraic process . Changing all the signs of an expression is , of course , equivalent to multi- plying ...
... changed , to prevent the leading term in each from having a minus sign ; for the fewer the signs the neater is the appearance of an algebraic process . Changing all the signs of an expression is , of course , equivalent to multi- plying ...
Página 68
... table as to take out the latter . In the changed forms , in addition to the discovery of the roots , a multiplication by 2 is afterwards necessary 36. II . To extract the square root of a 68 INTRODUCTION TO ALGEBRA .
... table as to take out the latter . In the changed forms , in addition to the discovery of the roots , a multiplication by 2 is afterwards necessary 36. II . To extract the square root of a 68 INTRODUCTION TO ALGEBRA .
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.