A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 páginas |
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Página viii
... coefficients 36 Square of a multinomial expression . 39 Continued products . 40 Examples II . 42 CHAPTER V. DIVISION . Division by a multinomial expression Extended definition of division 46 Examples III . . 25 50 51 CHAPTER VI ...
... coefficients 36 Square of a multinomial expression . 39 Continued products . 40 Examples II . 42 CHAPTER V. DIVISION . Division by a multinomial expression Extended definition of division 46 Examples III . . 25 50 51 CHAPTER VI ...
Página ix
... coefficients of a quadratic equation 122 · • Relations between the roots and the coefficients of any equation Equations with given roots 123 124 Discussion of possible values of a trinomial expression 126 Examples X. 129 Equations of ...
... coefficients of a quadratic equation 122 · • Relations between the roots and the coefficients of any equation Equations with given roots 123 124 Discussion of possible values of a trinomial expression 126 Examples X. 129 Equations of ...
Página xiii
... coefficients of a + a1x + a‚x2 + 337 Binomial Series 338 Expansion of multinomials 342 Combinations with repetitions ... COEFFICIENTS . Decomposition into partial fractions Case of imaginary factors . Case of equal factors Indeterminate ...
... coefficients of a + a1x + a‚x2 + 337 Binomial Series 338 Expansion of multinomials 342 Combinations with repetitions ... COEFFICIENTS . Decomposition into partial fractions Case of imaginary factors . Case of equal factors Indeterminate ...
Página 3
... coefficient of abx , 3a is the coefficient of bæ , and 3ab is the coefficient of x . When one of the factors of a product is a number expressed in figures , it is called the numerical coefficient of the product of the other factors . 8 ...
... coefficient of abx , 3a is the coefficient of bæ , and 3ab is the coefficient of x . When one of the factors of a product is a number expressed in figures , it is called the numerical coefficient of the product of the other factors . 8 ...
Página 4
... con- nected by the signs + or - are called the terms . Thus 2a - 3bx + 5cy is an algebraical expression con- taining the three terms 2a , — 3bx , and + 5cy2 . 13. When two terms only differ in their numerical coefficients 4 DEFINITIONS .
... con- nected by the signs + or - are called the terms . Thus 2a - 3bx + 5cy is an algebraical expression con- taining the three terms 2a , — 3bx , and + 5cy2 . 13. When two terms only differ in their numerical coefficients 4 DEFINITIONS .
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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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