A Treatise on the Elements of AlgebraCumming & Ferguson, 1846 - 80 páginas |
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Página vii
... compound Quadratics . 144 Exercises . QUADRATICS CONTAINING TWO UNKNOWNS . 203 Examples of various methods of solution . 147 208 Exercises . CHAP . IX . - SOLUTION OF PROBLEMS . 214 PROBLEMS WITH THEIR SOLUTIONS . EXERCISES . 148 218 ...
... compound Quadratics . 144 Exercises . QUADRATICS CONTAINING TWO UNKNOWNS . 203 Examples of various methods of solution . 147 208 Exercises . CHAP . IX . - SOLUTION OF PROBLEMS . 214 PROBLEMS WITH THEIR SOLUTIONS . EXERCISES . 148 218 ...
Página 10
... compound quantity and the simple quantities of which it is composed are called its terms : thus , 6 + 3 + 4 is a compound quantity , and its terms are 6 , 3 , and 4 : also , 12 + a- , and 3y + 12bc bx are compound quantities ; y 12 , a ...
... compound quantity and the simple quantities of which it is composed are called its terms : thus , 6 + 3 + 4 is a compound quantity , and its terms are 6 , 3 , and 4 : also , 12 + a- , and 3y + 12bc bx are compound quantities ; y 12 , a ...
Página 20
... compound . It is plain that to add a compound quantity is the same as to add its separate terms ; that is , and x + ( a + b ) = x + a + b ; x + ( ab ) = x + a + ( - b ) ; that is , ( Art . 6 ) + a - b . Thirdly , Let some of the ...
... compound . It is plain that to add a compound quantity is the same as to add its separate terms ; that is , and x + ( a + b ) = x + a + b ; x + ( ab ) = x + a + ( - b ) ; that is , ( Art . 6 ) + a - b . Thirdly , Let some of the ...
Página 24
... compound quantity is the same as to subtract its terms in succession ; that is , and x- ( a + b ) = x - a - b : x- ( a - b ) = x - a - ( - b ) ; that is , ( Art . 6 ) x - a + b * * The same may be shown otherwise , as follows : First ...
... compound quantity is the same as to subtract its terms in succession ; that is , and x- ( a + b ) = x - a - b : x- ( a - b ) = x - a - ( - b ) ; that is , ( Art . 6 ) x - a + b * * The same may be shown otherwise , as follows : First ...
Página 25
... compound quantity . The upper line , or minuend , is no less general ; because , whatever number of terms it contained , they would be all set down unchanged in the difference , the change being made on the subtrahend only . D 13. a + b ...
... compound quantity . The upper line , or minuend , is no less general ; because , whatever number of terms it contained , they would be all set down unchanged in the difference , the change being made on the subtrahend only . D 13. a + b ...
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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