An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 1
... called plus or more , or the posi- tive sign , and placed between two quantities denotes that they are to be added together . Thus 35 is 3 plus or more 5 , and denotes the sum of 3 and 5. Likewise a + b is the sum of a and b , or of the ...
... called plus or more , or the posi- tive sign , and placed between two quantities denotes that they are to be added together . Thus 35 is 3 plus or more 5 , and denotes the sum of 3 and 5. Likewise a + b is the sum of a and b , or of the ...
Page 2
... called minus or less , or the negative sign , and placed between two quantities denotes that the quantity which follows it is to be subtracted from the one which precedes it . Thus 7-2 is 7 minus or less 2 and denotes the remain . der ...
... called minus or less , or the negative sign , and placed between two quantities denotes that the quantity which follows it is to be subtracted from the one which precedes it . Thus 7-2 is 7 minus or less 2 and denotes the remain . der ...
Page 3
... 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 above it . The index 2 is generally omitted , and the radical ...
... 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 above it . The index 2 is generally omitted , and the radical ...
Page 4
... called equal to , and placed be- tween two quantities denotes that they are equal to each other , and the expression in which this sign occurs is called an equation . Thus , the equation ab denotes that a is equal to b . 10. The sign is ...
... called equal to , and placed be- tween two quantities denotes that they are equal to each other , and the expression in which this sign occurs is called an equation . Thus , the equation ab denotes that a is equal to b . 10. The sign is ...
Page 5
... called a dimen- sion , and the degree of a term is the number of its dimensions . The degree of a term is , therefore , found by taking the sum of the exponents of its literal factors . Thus , 7x is of one dimension , or of the first ...
... called a dimen- sion , and the degree of a term is the number of its dimensions . The degree of a term is , therefore , found by taking the sum of the exponents of its literal factors . Thus , 7x is of one dimension , or of the first ...
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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