An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 36
... continued product , when- ever their denominators have a common multiple less than this product . For , by art . 55 , Fractions may be reduced to a common denomi- nator , which is a common multiple of their denomi- nators , by ...
... continued product , when- ever their denominators have a common multiple less than this product . For , by art . 55 , Fractions may be reduced to a common denomi- nator , which is a common multiple of their denomi- nators , by ...
Page 40
... Fractions . 76. Problem . To find the continued product of several fractions . Solution . The continued product of given frac- tions is a fraction the numerator of which is the continued product of the given numerators , and the ...
... Fractions . 76. Problem . To find the continued product of several fractions . Solution . The continued product of given frac- tions is a fraction the numerator of which is the continued product of the given numerators , and the ...
Page 248
To which are Added Exponential Equations and Logarithms Benjamin Peirce. Value of Continued Fractions . CHAPTER IX . CONTINUED FRACTIONS . 316. A continued fraction is one whose numerator is unity , and its denominator an integer ...
To which are Added Exponential Equations and Logarithms Benjamin Peirce. Value of Continued Fractions . CHAPTER IX . CONTINUED FRACTIONS . 316. A continued fraction is one whose numerator is unity , and its denominator an integer ...
Page 249
... Find the value of the continued fraction 1 1 2+ 1 3+ 4 2. Find the value of the continued fraction Ans . 18 . 1 1 4+ 3 + 2 Ans . J. Approximate Values of Continued Fractions . 319. Problem . continued CH . IX . ] 249 CONTINUED FRACTIONS .
... Find the value of the continued fraction 1 1 2+ 1 3+ 4 2. Find the value of the continued fraction Ans . 18 . 1 1 4+ 3 + 2 Ans . J. Approximate Values of Continued Fractions . 319. Problem . continued CH . IX . ] 249 CONTINUED FRACTIONS .
Page 250
To which are Added Exponential Equations and Logarithms Benjamin Peirce. Approximate Values of Continued Fractions . 319. Problem . continued fraction . To find the value of an infinite Solution . Let the fraction be 1 1 a + b + c + & c ...
To which are Added Exponential Equations and Logarithms Benjamin Peirce. Approximate Values of Continued Fractions . 319. Problem . continued fraction . To find the value of an infinite Solution . Let the fraction be 1 1 a + b + c + & c ...
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Common terms and phrases
126 become zero 3d root arithmetical progression coefficient commensurable roots common difference contained continued fraction continued product Corollary deficient terms denote derivative Divide dividend division equal roots equal to zero equation x² factor Find the 3d Find the 4th Find the continued Find the greatest Find the number Find the square Find the sum Free the equation Geometrical Progression given equation given number gives greatest common divisor Hence imaginary roots last term least common multiple letter logarithm monomials multiplied number of real number of terms polynomial positive roots preceding article Problem quantities in example quotient radical quantities ratio real roots reduced remainder required equation required number row of signs Scholium Second Degree Solution Solve the equation square root Sturm's Theorem subtracted Theorem unity unknown quan unknown quantity variable whence