An Introduction to Algebra, and to the Solution of Numerical Equations1851 - 12 páginas |
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Página 16
... difference of those quantities , or the remainder which arises from subtracting the less from the greater : thus , 4-2 or 2-4 equally mean the difference between 4 and 2 , that is 2 ; and a b , or ba , means in like manner the difference ...
... difference of those quantities , or the remainder which arises from subtracting the less from the greater : thus , 4-2 or 2-4 equally mean the difference between 4 and 2 , that is 2 ; and a b , or ba , means in like manner the difference ...
Página 21
... difference of the two ; prefix to it the sign of the greater sum , and then annex the letters common to all the quantities ; as in the following examples . [ For a detailed explanation of the process , see the NOTE below the first row ...
... difference of the two ; prefix to it the sign of the greater sum , and then annex the letters common to all the quantities ; as in the following examples . [ For a detailed explanation of the process , see the NOTE below the first row ...
Página 22
... difference of these sums is nothing : that is , the positive and negative quan- tities just balance , and consequently neutralize each other , so that nothing is to be put down as the result of the addition of this row : annexing the ...
... difference of these sums is nothing : that is , the positive and negative quan- tities just balance , and consequently neutralize each other , so that nothing is to be put down as the result of the addition of this row : annexing the ...
Página 30
... difference , therefore , between this and the result first obtained is simply a difference of form or nota- tion , not of value : and in all algebraic forms , that is to be preferred which expresses the thing intended with the least ...
... difference , therefore , between this and the result first obtained is simply a difference of form or nota- tion , not of value : and in all algebraic forms , that is to be preferred which expresses the thing intended with the least ...
Página 44
... difference , gives the difference of the squares of those numbers or quantities . Thus , ( 5 + 2 ) ( 5—2 ) —5 ° —22 ; for a and b , in the Ex . referred to , are open to receive any numerical interpretation whatever . It is plain that ...
... difference , gives the difference of the squares of those numbers or quantities . Thus , ( 5 + 2 ) ( 5—2 ) —5 ° —22 ; for a and b , in the Ex . referred to , are open to receive any numerical interpretation whatever . It is plain that ...
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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.