## An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |

### From inside the book

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**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 quantities which a and b represent . 1 Signs of Addition , Subtraction ... Page 2

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**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 after subtracting 2 from 7. Likewise a - b is the remainder after subtracting b ... Page 3

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**denotes**that the quantity which precedes it is to be divided by the one which follows it . The process of division is also indicated by placing the dividend over the divisor with a line between them . a ÷ b , Thus , vided by b . a ora ... Page 4

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**denotes**that they are equal to each other , and the expression in which this sign occurs is called an equation . Thus , the equation a = b**denotes**that a is equal to b . 10. The sign > is called greater than , and the sign < is ... Page 8

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**denote**the aggregate of all the positive terms of the quantity to be subtracted , and B the aggregate of all its negative terms ; then A - B is the quantity to be subtracted , and let C**denote**the quantity from which it is to be taken ...### Other editions - View all

### Common terms and phrases

126 become zero 3d root arithmetical mean arithmetical progression Binomial Theorem 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 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