A Treatise on the Elements of AlgebraCumming & Ferguson, 1846 - 80 páginas |
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Página 6
... dividend directly over the divisor , and separating them by a line : thus , to show that 48 is to be divided by six , we may write either 486 , or 48 - 6 : also , either of the expressions a ÷ bor denotes that a is to be divided by b ...
... dividend directly over the divisor , and separating them by a line : thus , to show that 48 is to be divided by six , we may write either 486 , or 48 - 6 : also , either of the expressions a ÷ bor denotes that a is to be divided by b ...
Página 19
... dividend is a product , of which the divisor and the quo- tient are the factors ; and since the divisors are equal , the remaining factors , the quotients , must be equal , else ( Cor . 1. ) the products , the dividends , could not be ...
... dividend is a product , of which the divisor and the quo- tient are the factors ; and since the divisors are equal , the remaining factors , the quotients , must be equal , else ( Cor . 1. ) the products , the dividends , could not be ...
Página 42
... dividend have the same sign , the quotient is positive ; when they have different signs , the quotient is negative . For , by the nature of division , the quotient must be such , that when multiplied by the divisor , it shall repro ...
... dividend have the same sign , the quotient is positive ; when they have different signs , the quotient is negative . For , by the nature of division , the quotient must be such , that when multiplied by the divisor , it shall repro ...
Página 43
... dividend . 5x ) 20bxy ( 4by 20bxy 0 2. Divide 12a4bn3x5 by —3a2nx1 . -3a2nx ) 12a1bn3x5 ( -4a2bn2x . 3. Divide 963x4 by -4ab2x3 . bx Here — 4 is contained 2-4ab2x3 ) -913μ3 ( 2 2 ; times in -9 , and ab2x3 in b3x4 is contained bx -- a ...
... dividend . 5x ) 20bxy ( 4by 20bxy 0 2. Divide 12a4bn3x5 by —3a2nx1 . -3a2nx ) 12a1bn3x5 ( -4a2bn2x . 3. Divide 963x4 by -4ab2x3 . bx Here — 4 is contained 2-4ab2x3 ) -913μ3 ( 2 2 ; times in -9 , and ab2x3 in b3x4 is contained bx -- a ...
Página 44
... dividend compound . Divide every term of the dividend by the divisor , and connect the quotients by their proper signs . EXAMPLES . 1. Divide 12ab2c - 32bcx2-4abcy - 4bc by 4bc . 4bc ) 12ab2c - 32bca2-4abcy - 4bc ― 3ab 82.2 ay -1 . 2 ...
... dividend compound . Divide every term of the dividend by the divisor , and connect the quotients by their proper signs . EXAMPLES . 1. Divide 12ab2c - 32bcx2-4abcy - 4bc by 4bc . 4bc ) 12ab2c - 32bca2-4abcy - 4bc ― 3ab 82.2 ay -1 . 2 ...
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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