A Treatise on the Elements of AlgebraCumming & Ferguson, 1846 - 80 páginas |
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Página 8
... quantity is called involution ; and the quantity is said to be raised to that power . 15. XI . A root of a quantity ... UNKNOWN Definitions and Propositions 121 150.
... quantity is called involution ; and the quantity is said to be raised to that power . 15. XI . A root of a quantity ... UNKNOWN Definitions and Propositions 121 150.
Página 150
... UNKNOWN QUANTITY . ART . 121. DEF . I. A statement of equality between two expressions , is called an equation ; and ... quantity in terms of others . Hence , if one of the quantities in an equation be unknown , and the others known , by ...
... UNKNOWN QUANTITY . ART . 121. DEF . I. A statement of equality between two expressions , is called an equation ; and ... quantity in terms of others . Hence , if one of the quantities in an equation be unknown , and the others known , by ...
Página 152
... unknown terms to the other , incorporating like quantities ; ( 3 ) and divide both members ( Art . 30 ) by the coefficient of the unknown quantity . EXAMPLES . 1. Given 4-9x = 14-11x to find the value of x . Transposing , ( part 2 of ...
... unknown terms to the other , incorporating like quantities ; ( 3 ) and divide both members ( Art . 30 ) by the coefficient of the unknown quantity . EXAMPLES . 1. Given 4-9x = 14-11x to find the value of x . Transposing , ( part 2 of ...
Página 165
... UNKNOWN QUANTITY . 128. When , in the expression for one unknown quan- tity , another unknown quantity occurs , it is plain ( Art 122 ) that the value of the former cannot be determined unless that of the latter be known . Thus , the ...
... UNKNOWN QUANTITY . 128. When , in the expression for one unknown quan- tity , another unknown quantity occurs , it is plain ( Art 122 ) that the value of the former cannot be determined unless that of the latter be known . Thus , the ...
Página 168
... unknown quantities be not the same in both equations , multiply or divide one or both equa- tions by such numbers as ... quantity which it contains ; ( 4 ) then the value of the unknown , which was eliminated , will be determined ...
... unknown quantities be not the same in both equations , multiply or divide one or both equa- tions by such numbers as ... quantity which it contains ; ( 4 ) then the value of the unknown , which was eliminated , will be determined ...
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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