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

### From inside the book

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**term**divisible by the first**term**of the new divisor ; the remainder of the division is the 4th line of col . 1 ...**last**line of col . 1. The remainder of the division of the 4th line of col . 2 and the**last**line of col . 1 is the 6th ... Page 43

... term antecedent for numerator , and consequent for denominator . SECTION IV . Proportions . 85. A proportion is the ...

... term antecedent for numerator , and consequent for denominator . SECTION IV . Proportions . 85. A proportion is the ...

**last terms**of a proportion are called its extremes ; and the second and third its means . Thus , A and D are the ... Page 44

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**last**of them is equal to the product of the second and third , these four quantities form a proportion ...**Term**of a Proportion . 88. 44 [ CH . II . IV . ALGEBRA . 26. Page 45

... term is an extreme , divide the product of the means by the given extreme , and the quotient is the required extreme ...

... term is an extreme , divide the product of the means by the given extreme , and the quotient is the required extreme ...

**last terms**of a proportion respectively a2 — b2 , 2 ( a + b ) , a2 + 2ab + b2 ; find the first . Ans . 2 ( a - b ) ... Page 48

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**last**two , as the difference of the first two**terms**is to the difference of the**last**two , or as the first**term**is ...**last**two is to their dif- ference . Moreover , in finding these sums and differences , both the antecedents may be ...### 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