An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 5
... found by taking the sum of the exponents of its literal factors . Thus , 7x is of one dimension , or of the first degree ; 5a2 b c is of four dimensions , or of the fourth degree , & c . 16. A polynomial is homogeneous , when all its ...
... found by taking the sum of the exponents of its literal factors . Thus , 7x is of one dimension , or of the first degree ; 5a2 b c is of four dimensions , or of the fourth degree , & c . 16. A polynomial is homogeneous , when all its ...
Page 6
... 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 preceded by the sign of the greater , may be substituted as a single ...
... 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 preceded by the sign of the greater , may be substituted as a single ...
Page 7
... Find the sum of a and a . Ans . 2 a . 2. Find the sum of 11 x and 9 x . Ans . 20 x . 3. Find the sum of 11 x and 9x . 4. Find the sum of 11 x and 9 x . 5. Find the sum of 112 and 9x . 6. Find the sum of a and - b . - Ans . 2x . ― Ans . 20 x ...
... Find the sum of a and a . Ans . 2 a . 2. Find the sum of 11 x and 9 x . Ans . 20 x . 3. Find the sum of 11 x and 9x . 4. Find the sum of 11 x and 9 x . 5. Find the sum of 112 and 9x . 6. Find the sum of a and - b . - Ans . 2x . ― Ans . 20 x ...
Page 8
To which are Added Exponential Equations and Logarithms Benjamin Peirce. Subtraction . 10. Find the sum of 7 x26√x + ... finding the difference between two quantities . 26. Problem . To subtract one quantity from another . Solution . Let ...
To which are Added Exponential Equations and Logarithms Benjamin Peirce. Subtraction . 10. Find the sum of 7 x26√x + ... finding the difference between two quantities . 26. Problem . To subtract one quantity from another . Solution . Let ...
Page 10
... sum of the exponents . Hence every letter which is contained in any of the given factors must be written in the ... Find the continued product of 3 a b , 2 cd , and e f g . 3. Multiply am by a " . Ans . 6 abcdefg . Ans . am + n . 4. Find ...
... sum of the exponents . Hence every letter which is contained in any of the given factors must be written in the ... Find the continued product of 3 a b , 2 cd , and e f g . 3. Multiply am by a " . Ans . 6 abcdefg . Ans . am + n . 4. Find ...
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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