Algebra1860 |
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Page 3
... expression or a formula . 13 . - Those parts of an expression which are connected by the signs + or are called its terms . When an expression consists of two terms it is called a binomial expression ; when it consists of three terms it ...
... expression or a formula . 13 . - Those parts of an expression which are connected by the signs + or are called its terms . When an expression consists of two terms it is called a binomial expression ; when it consists of three terms it ...
Page 4
... expression . When an expression does not contain parts connected by the sign + or the sign - it may be called a simple expression , or it may be said to contain only one term . Thus abc is a simple expression ; abc + x is a binomial ...
... expression . When an expression does not contain parts connected by the sign + or the sign - it may be called a simple expression , or it may be said to contain only one term . Thus abc is a simple expression ; abc + x is a binomial ...
Page 6
... expression is said to be homogeneous when all its terms are of the same dimensions . Thus 7a3 + 3a2b + 4abc is ... expressions : abc + 4bd + ec -fd . 1 . a + 2b + 4c . 3 . ab + 2bc + 3ed . 5 . 7 . b За b2 + c2 9 . 2c - 3a cd 4be + - cd ...
... expression is said to be homogeneous when all its terms are of the same dimensions . Thus 7a3 + 3a2b + 4abc is ... expressions : abc + 4bd + ec -fd . 1 . a + 2b + 4c . 3 . ab + 2bc + 3ed . 5 . 7 . b За b2 + c2 9 . 2c - 3a cd 4be + - cd ...
Page 7
... expression are connected by the sign + it is indifferent in what order they are written ; thus a + b and ba give the same result , namely the sum of the numbers which are denoted by a and b . We may express this fact algebraically thus ...
... expression are connected by the sign + it is indifferent in what order they are written ; thus a + b and ba give the same result , namely the sum of the numbers which are denoted by a and b . We may express this fact algebraically thus ...
Page 8
... expression as a- -c + b when c is greater than a shall be understood to mean the same thing as a + b - c . At present we shall never use such an expression except when c is less than a + b , so that a + b − c presents no difficulty ...
... expression as a- -c + b when c is greater than a shall be understood to mean the same thing as a + b - c . At present we shall never use such an expression except when c is less than a + b , so that a + b − c presents no difficulty ...
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Common terms and phrases
7th term a+b+c arithmetic mean arithmetical ax² Binomial Theorem black balls chance cloth coefficient common contains continued fraction convergent Crown 8vo denote digits divided divisible divisor equal event example expansion Extract the square factors Fcap Find the number Geometrical Progression greater than unity Hence least common multiple less than unity letters logarithm miles multiply negative quantity number of combinations number of terms obtain occur P₁ positive integers positive quantity preceding article prime number probability problem quadratic equation quadratic surd quotient radix ratio recurring decimal remainder result scale shew shillings Similarly solution square number square root subtraction suppose supposition surd things taken trial unknown quantities white balls whole number
Popular passages
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