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

### From inside the book

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**consequently**, subject in common use to some limita- tions , which will be more easily understood , when we are advanced in the science . 2. The sign is called plus or more , or the posi- tive sign , and placed between two quantities ... Page 8

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**consequently**, obtained by increasing C - A by the excess of A above A - B , that is , by B , and it is thus found to be C- A + B. The same result would be obtained by adding to C the quantity AB , with its signs reversed , so as to ... Page 18

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**consequently**obtained by dividing , as in art . 35 , the term of the dividend which contains the highest power of any letter by that term of the divisor which contains the highest power of the same letter . But the dividend is the sum ... Page 27

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**consequently**, reduced to its lowest terms , by dividing its terms by their greatest com- mon factor or divisor . 57. Problem . To find the greatest common di- visor of several monomials . Solution . It is equal to the product of the ... Page 28

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**consequently**, D , which is a divisor of A and B , must divide R ; that is , D is a common divisor of B and R , and cannot therefore be greater than their greatest common divisor E. Again , we have A R + B . Q , and ,**consequently**, E ...### 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