An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
From inside the book
Results 1-5 of 50
Page 3
... contained as a factor in the given quantity . The sign is called the radical sign , and when prefixed to a quantity indicates that its root is to be extracted , the index of the root being placed to the left of the sign and a little ...
... contained as a factor in the given quantity . The sign is called the radical sign , and when prefixed to a quantity indicates that its root is to be extracted , the index of the root being placed to the left of the sign and a little ...
Page 6
... contain similar terms , is too obvious to require demonstration . Find the sum of the similar positive terms by add- ing their coefficients , and in the same way the sum of the similar negative terms . The difference of these sums ...
... contain similar terms , is too obvious to require demonstration . Find the sum of the similar positive terms by add- ing their coefficients , and in the same way the sum of the similar negative terms . The difference of these sums ...
Page 10
... contained in any of the given factors must be written in the product , with an exponent equal to the sum of all its exponents in the different factors . 29. EXAMPLES . 1. Multiply a b by c d e . Ans . abcde . 2. Find the continued ...
... contained in any of the given factors must be written in the product , with an exponent equal to the sum of all its exponents in the different factors . 29. EXAMPLES . 1. Multiply a b by c d e . Ans . abcde . 2. Find the continued ...
Page 14
... contained in the dividend , and simply indicating the division with regard to the remaining factors of the divisor . Hence , from art . 28 , Suppress the greatest common factor of the nu- merical coefficients . Suppress each letter of ...
... contained in the dividend , and simply indicating the division with regard to the remaining factors of the divisor . Hence , from art . 28 , Suppress the greatest common factor of the nu- merical coefficients . Suppress each letter of ...
Page 20
... contain the lowest powers of a letter instead of those which con- tain the highest powers . In this case , it is more convenient to place the term containing the lowest power first , and that containing the next lowest next , and so on ...
... contain the lowest powers of a letter instead of those which con- tain the highest powers . In this case , it is more convenient to place the term containing the lowest power first , and that containing the next lowest next , and so on ...
Other editions - View all
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