The Principles of Elementary Algebra |
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... expression which is a complete square , as the operation is only a case of factoring , and a simple case at that . For expressions which are not complete squares , the most rational method is by means of the binomial theorem or of ...
... expression which is a complete square , as the operation is only a case of factoring , and a simple case at that . For expressions which are not complete squares , the most rational method is by means of the binomial theorem or of ...
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... expression numerical quantity , and frequently the word number , will be taken to denote any of the three classes . 2. Numbers are fundamentally subject to two opera- tions increase and diminution ; but convenience , drawn from ...
... expression numerical quantity , and frequently the word number , will be taken to denote any of the three classes . 2. Numbers are fundamentally subject to two opera- tions increase and diminution ; but convenience , drawn from ...
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... expression numerical quantity , and frequently the word number , will be taken to denote any of the three classes . 2. Numbers are fundamentally subject to two opera- tions increase and diminution ; but convenience , drawn from ...
... expression numerical quantity , and frequently the word number , will be taken to denote any of the three classes . 2. Numbers are fundamentally subject to two opera- tions increase and diminution ; but convenience , drawn from ...
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... expression . We shall , in the meantime , confine ourselves to expressions written in a single line , as 3 ab + 2c + d2 , etc. In arithmetic we know that 3 + 5 is in its sum the same as 5 + 3 , and 3 + 5 + 8 is the same as 3 + 8 + 5 ...
... expression . We shall , in the meantime , confine ourselves to expressions written in a single line , as 3 ab + 2c + d2 , etc. In arithmetic we know that 3 + 5 is in its sum the same as 5 + 3 , and 3 + 5 + 8 is the same as 3 + 8 + 5 ...
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... expression included between two consecutive signs is called a term . To indicate that any portion of an expression lying between two non - consecutive signs is to be taken in its totality as a single term , we enclose the portion within ...
... expression included between two consecutive signs is called a term . To indicate that any portion of an expression lying between two non - consecutive signs is to be taken in its totality as a single term , we enclose the portion within ...
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Common terms and phrases
a₁ ab² arithmetic ax² b₁ becomes binomial binomial theorem c₁ coefficients complete square continued fraction convergent cube root decimal denominator denote diagonal difference dimensions Divide divisor elementary algebra equal equate coefficients equation EXERCISE expansion expression find the L. C. M. find the nth Find the value finite geometric geometric series given gives graph Hence imaginary independent term integer integral function inversions letters linear factors logarithms mantissa matrix miles monomial Multiply negative nth root nth term number of terms numerical quantity operation permutations positive integers proper fraction quadratic quantitative symbol R₁ rationalizing factor recurring series relation remainder result sides signs Similarly solution square root substituting subtract suffixes surd theorem tion triangle U₂ variable Whence zero
Popular passages
Page 90 - PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 254 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Page 336 - ... University of Ohio, of Pennsylvania, of Michigan, of Wisconsin, of Kansas, of California, of Missouri, Stanford University, etc., etc. "Those acquainted with Mr. Smith's text-books on conic sections and solid geometry will form a high expectation of this work, and we do not think they will be disappointed. Its style is clear and neat, it gives alternative proofs of most of the fundamental theorems, and abounds in practical hints, among which we may notice those on the resolution of expressions...
Page 254 - ... that the logarithm of the product of two numbers is the sum of the logarithms of the numbers.
Page 74 - Multiply together the numerators for a new numerator, and the denominators for a new denominator.