An Introduction to Algebra, and to the Solution of Numerical Equations1851 - 12 páginas |
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Página 19
... proper signs prefixed to them , whether plus or minus ; if in any of these the plus were to be omitted , the gap would be unsightly , and would , moreover , be likely to lead to the error that the letters , separated by that gap ...
... proper signs prefixed to them , whether plus or minus ; if in any of these the plus were to be omitted , the gap would be unsightly , and would , moreover , be likely to lead to the error that the letters , separated by that gap ...
Página 20
... necting them together with their proper signs . We shall give some examples of addition of algebra before proceeding any further with the definitions . 21 ADDITION . 13. When the quantities to be added 20 INTRODUCTION TO ALGEBRA .
... necting them together with their proper signs . We shall give some examples of addition of algebra before proceeding any further with the definitions . 21 ADDITION . 13. When the quantities to be added 20 INTRODUCTION TO ALGEBRA .
Página 24
... proper signs , the remaining unlike quantities . NOTE . In the following examples , illustrative of this rule , the quanti- ties , although placed in vertical columns , will not be so arranged as that the like terms may stand all under ...
... proper signs , the remaining unlike quantities . NOTE . In the following examples , illustrative of this rule , the quanti- ties , although placed in vertical columns , will not be so arranged as that the like terms may stand all under ...
Página 25
... proper sign plus . The other sets of expressions are summed in a similar manner . ( 6 ) . The sum of 2x - 3y + 5az , 4y - 2az - x , 7az + 5x - 4y , 3x + bc , 5y - bc - 3x , is 6x + 2y + 10az . ( 7 ) . The sum of 9 ab + 8c + 2de , 8c ...
... proper sign plus . The other sets of expressions are summed in a similar manner . ( 6 ) . The sum of 2x - 3y + 5az , 4y - 2az - x , 7az + 5x - 4y , 3x + bc , 5y - bc - 3x , is 6x + 2y + 10az . ( 7 ) . The sum of 9 ab + 8c + 2de , 8c ...
Página 27
... proper exponents or indices being placed over the right hand corner of the quantity proposed , and the symbol ✓dispensed with ; thus , mean the same as- a1 , a3 , a3 , x1 , y3 , & c . Na , a , a , x , y , & c . and are respectively the ...
... proper exponents or indices being placed over the right hand corner of the quantity proposed , and the symbol ✓dispensed with ; thus , mean the same as- a1 , a3 , a3 , x1 , y3 , & c . Na , a , a , x , y , & c . and are respectively the ...
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.