A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 sider |
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Side vii
... expressions 14 Law of Signs 15 The factors of a product may be taken in any order . 16 Fundamental Index Law . 18 Division of monomial expressions 19 Multinomial expressions . Commutative Law , Distributive Law and Associative Law 23 ...
... expressions 14 Law of Signs 15 The factors of a product may be taken in any order . 16 Fundamental Index Law . 18 Division of monomial expressions 19 Multinomial expressions . Commutative Law , Distributive Law and Associative Law 23 ...
Side viii
... expressions 32 Detached 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 ...
... expressions 32 Detached 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 ...
Side ix
... expression The problem of solving an equation the same as the problem of Quadratic equations . Discussion of roots of a quadratic equation Zero and infinite roots 109 • 109 . 112 • 113 Equations not integral 115 Irrational equations 118 ...
... expression The problem of solving an equation the same as the problem of Quadratic equations . Discussion of roots of a quadratic equation Zero and infinite roots 109 • 109 . 112 • 113 Equations not integral 115 Irrational equations 118 ...
Side xi
... expression , so also is the other . CHAPTER XV . 225 SQUARE AND CUBE ROOTS . Square roots found by inspection 228 Square root of any algebraical expression 229 Square root found by equating coefficients 230 When any number of terms of a ...
... expression , so also is the other . CHAPTER XV . 225 SQUARE AND CUBE ROOTS . Square roots found by inspection 228 Square root of any algebraical expression 229 Square root found by equating coefficients 230 When any number of terms of a ...
Side 4
... expression . The parts of an algebraical expression which are 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 ...
... expression . The parts of an algebraical expression which are 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 ...
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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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