An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 26
... denominator of a fraction are called the terms of the fraction . When a quotient is expressed by the sign ( :) it is called a ratio ; its dividend is called the antecedent of the ratio , and its divisor the consequent of the ratio ; and ...
... denominator of a fraction are called the terms of the fraction . When a quotient is expressed by the sign ( :) it is called a ratio ; its dividend is called the antecedent of the ratio , and its divisor the consequent of the ratio ; and ...
Page 35
... denominators . Common Denominator . For the value of each fraction is CH . II . § 1. ] 35 REDUCTION OF FRACTIONS .
... denominators . Common Denominator . For the value of each fraction is CH . II . § 1. ] 35 REDUCTION OF FRACTIONS .
Page 36
... denominator by their denominators . 69. Corollary . An entire quantity may , by the preceding article , be reduced to an equivalent frac- tional expression having any required denominator , by regarding it as a fraction , the denominator ...
... denominator by their denominators . 69. Corollary . An entire quantity may , by the preceding article , be reduced to an equivalent frac- tional expression having any required denominator , by regarding it as a fraction , the denominator ...
Page 37
To which are Added Exponential Equations and Logarithms Benjamin Peirce. Common Denominator . 3. Reduce a + b 1 Ans . 1 , a- b ' a + b ' a2 . denominator a2 b2 . - a2 + 2ab + b2 a2 - b2 c + d to the common 62 a - b c + d - a2 b2 - ' a2 ...
To which are Added Exponential Equations and Logarithms Benjamin Peirce. Common Denominator . 3. Reduce a + b 1 Ans . 1 , a- b ' a + b ' a2 . denominator a2 b2 . - a2 + 2ab + b2 a2 - b2 c + d to the common 62 a - b c + d - a2 b2 - ' a2 ...
Page 38
... denominator the given com- mon denominator , and for its numerator the sum or the difference of the given numerators . When the given fractions have different denomi- nators , they are to be reduced to a common denomi- nator by arts ...
... denominator the given com- mon denominator , and for its numerator the sum or the difference of the given numerators . When the given fractions have different denomi- nators , they are to be reduced to a common denomi- nator by arts ...
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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