A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 páginas |
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Página 3
... considered as divided into two sets , each is called the co - efficient , that is the co - factor of the other . Thus in 3abx , 3 is the coefficient of abx , 3a is the coefficient of bæ , and 3ab is the coefficient of x . When one of ...
... considered as divided into two sets , each is called the co - efficient , that is the co - factor of the other . Thus in 3abx , 3 is the coefficient of abx , 3a is the coefficient of bæ , and 3ab is the coefficient of x . When one of ...
Página 10
... considered inde- pendently of its quality , or of its sign , is called its absolute magnitude . Thus a rise of 4 feet and a fall of 4 feet are equal in absolute magnitude ; so also +4 and -4 are equal in absolute magnitude , whatever ...
... considered inde- pendently of its quality , or of its sign , is called its absolute magnitude . Thus a rise of 4 feet and a fall of 4 feet are equal in absolute magnitude ; so also +4 and -4 are equal in absolute magnitude , whatever ...
Página 11
... considered to be algebraically complete . 23. When b is greater than a , the arithmetical operation denoted by a - b is impossible . For example , if a = 3 and b = 5 , a - b will be 3-5 , and we cannot take 5 from 3. But to subtract 5 ...
... considered to be algebraically complete . 23. When b is greater than a , the arithmetical operation denoted by a - b is impossible . For example , if a = 3 and b = 5 , a - b will be 3-5 , and we cannot take 5 from 3. But to subtract 5 ...
Página 14
... considered , it is found necessary to modify somewhat the meaning of multiplication , for by the original definition we can only multiply by whole numbers . The following is therefore taken as the definition of multiplication : " To ...
... considered , it is found necessary to modify somewhat the meaning of multiplication , for by the original definition we can only multiply by whole numbers . The following is therefore taken as the definition of multiplication : " To ...
Página 25
... considered all the fundamental laws of Algebra , and in the succeeding chapters we have only to develope the consequences of these laws . CHAPTER III . ADDITION . SUBTRACTION . BRACKETS . ADDITION MULTINOMIAL EXPRESSIONS . 25.
... considered all the fundamental laws of Algebra , and in the succeeding chapters we have only to develope the consequences of these laws . CHAPTER III . ADDITION . SUBTRACTION . BRACKETS . ADDITION MULTINOMIAL EXPRESSIONS . 25.
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Términos y frases comunes
a+b+c a₁ arithmetic mean arithmetical progression ax² b₁ binomial Binomial Theorem C₁ Cambridge coefficient contain continued fraction Crown 8vo denominator determinant digits divergent divide divisible divisor Edition equal equation ax example expansion Extra fcap Fcap Find the number Find the sum follows geometrical progression given expression Globe 8vo greater Hence the required infinity letters logarithm MACMILLAN'S Multiply negative nth convergent nth root nth term number of terms obtained P₁ periodic continued fraction positive integer powers prime number Professor prove quadratic equation quadratic surd quotient ratio remainder School Shew Solve the equation square root subtract suppose Theorem Trinity College u₁ unknown quantities white ball whole number zero
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