A Treatise on the Elements of AlgebraCumming & Ferguson, 1846 - 80 páginas |
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Página 58
... not performed ; the dividend and divisor are called the numerator and denominator , as in Arithmetic , and when spoken of together , they are called the terms of the fraction . 50. Corollary . Hence , if n represent any number.
... not performed ; the dividend and divisor are called the numerator and denominator , as in Arithmetic , and when spoken of together , they are called the terms of the fraction . 50. Corollary . Hence , if n represent any number.
Página 73
... denominator is divided by n : therefore , the division of the denominator multiplies the original value of the fraction . 66. II . A fraction is divided by any quantity when its numerator is divided , or its denominator multiplied , by ...
... denominator is divided by n : therefore , the division of the denominator multiplies the original value of the fraction . 66. II . A fraction is divided by any quantity when its numerator is divided , or its denominator multiplied , by ...
Página 74
... denominator be multiplied by n , the frac- a tion becomes ; but to divide by a product is the same nb as to divide by its factors in succession , therefore a nb = ( a ÷ b ) ÷ n : now , a ÷ b = = = x , therefore ( a ÷ b ) Ꮖ - = - that ...
... denominator be multiplied by n , the frac- a tion becomes ; but to divide by a product is the same nb as to divide by its factors in succession , therefore a nb = ( a ÷ b ) ÷ n : now , a ÷ b = = = x , therefore ( a ÷ b ) Ꮖ - = - that ...
Página 78
... denominator . Multiply the integer by the given denominator , and under the product taken as a numerator set that denominator . This is merely performing a process , and indicating its reverse ; and therefore the value of the quantity ...
... denominator . Multiply the integer by the given denominator , and under the product taken as a numerator set that denominator . This is merely performing a process , and indicating its reverse ; and therefore the value of the quantity ...
Página 79
... denominator , we obtain in this case an integral quantity . 8b2x - 4ab2-3a2b 2x - 3a 2. Reduce 462 to an integer or to a mixed quantity . Performing the actual division , 462 ) 8b2-4ab2-3a2b we obtain FRACTIONS . - PROBLEMS . 79.
... denominator , we obtain in this case an integral quantity . 8b2x - 4ab2-3a2b 2x - 3a 2. Reduce 462 to an integer or to a mixed quantity . Performing the actual division , 462 ) 8b2-4ab2-3a2b we obtain FRACTIONS . - PROBLEMS . 79.
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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