A Treatise on the Elements of AlgebraCumming & Ferguson, 1846 - 80 páginas |
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Página 12
... greater than the other . Hence a > b means that a is greater than b ; and x < y , that x is less than y . 25. XX . When it is not known which of two quantities is the greater , the mark placed between them indicates that the less is to ...
... greater than the other . Hence a > b means that a is greater than b ; and x < y , that x is less than y . 25. XX . When it is not known which of two quantities is the greater , the mark placed between them indicates that the less is to ...
Página 28
... greater will be found by adding half the sum to half the difference , and the less , by taking half the difference from half the sum . if 86 and 28 be respectively the sum and difference of two numbers , the numbers are 57 and 29 ; and ...
... greater will be found by adding half the sum to half the difference , and the less , by taking half the difference from half the sum . if 86 and 28 be respectively the sum and difference of two numbers , the numbers are 57 and 29 ; and ...
Página 31
... greater than a - b by b , the product ac is too great by bc ; bc must therefore be subtracted : hence the product is ... greater than c - d by d , in multiplying by c , a multiplier too great by d has been used : hence the product of a ...
... greater than a - b by b , the product ac is too great by bc ; bc must therefore be subtracted : hence the product is ... greater than c - d by d , in multiplying by c , a multiplier too great by d has been used : hence the product of a ...
Página 46
... greater number of operations than are necessary : in most cases , however , the quotient will be interminable . The following arrangement of the terms of the last example will make this more plain : Here one operation more a + x ) 2ax + ...
... greater number of operations than are necessary : in most cases , however , the quotient will be interminable . The following arrangement of the terms of the last example will make this more plain : Here one operation more a + x ) 2ax + ...
Página 56
... greater ? 4. If y be the greater of two quantities and d the dif- ference , what is the less ? 5. What is the difference between the square of the sum , and the sum of the squares , of two quantities ? 6. Find the difference between the ...
... greater ? 4. If y be the greater of two quantities and d the dif- ference , what is the less ? 5. What is the difference between the square of the sum , and the sum of the squares , of two quantities ? 6. Find the difference between the ...
Términos y frases comunes
2d Edition 4th power a²+b² added Algebra ANSWERS arithmetic means arithmetical bd bd binomial theorem bound cloth coefficients complete quotient compound quantity contained cube root denominator denotes Divide dividend divisor English equal EXAMPLES EXERCISES expression Extract the square factors Find the G. C. M. find the number Find the sum Find the value follows Given Equations gives Grammar greatest common measure Greek Hence indices infinite series integer last Art Latin least common multiple logarithms method nature of division negative quantities nth root number of balls number of terms obtained partial products plain positive quadratic quadratic surd quan quotient rational quantity remainder rule second term sides square root substitution subtracted sum and difference Sum the series surd tities unknown quantity VALPY Valpy's whence whole number
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