An Introduction to Algebra, and to the Solution of Numerical Equations1851 - 12 páginas |
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Página 19
... negative or subtractive quantities . A negative quantity is always marked as such by the insertion of the minus , while , as just observed , a positive quantity , not preceded by any other quantity , requires no sign to mark its ...
... negative or subtractive quantities . A negative quantity is always marked as such by the insertion of the minus , while , as just observed , a positive quantity , not preceded by any other quantity , requires no sign to mark its ...
Página 20
... negative ; what is called their sum is what results from the actual perfor- mance of the additive and subtractive operations indicated by the plus and minus signs . The addition of unlike quantities cannot be actually effected ; it can ...
... negative ; what is called their sum is what results from the actual perfor- mance of the additive and subtractive operations indicated by the plus and minus signs . The addition of unlike quantities cannot be actually effected ; it can ...
Página 21
... negative coefficients . Take the 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 ...
... negative coefficients . Take the 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 ...
Página 22
John Radford Young. tive coefficients is 25 : the sum of the negative coefficients is also 25 : the difference of these sums is nothing : that is , the positive and negative quan- tities just balance , and consequently neutralize each ...
John Radford Young. tive coefficients is 25 : the sum of the negative coefficients is also 25 : the difference of these sums is nothing : that is , the positive and negative quan- tities just balance , and consequently neutralize each ...
Página 33
... negative quantities ; so that , if all the positive quantities be first taken away , without any abatement , then all the negative quantities must afterwards be added . It is of such importance to be always mindful of this in the ...
... negative quantities ; so that , if all the positive quantities be first taken away , without any abatement , then all the negative quantities must afterwards be added . It is of such importance to be always mindful of this in the ...
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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.