An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 32
... 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 ...
... 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 ... last terms of a proportion are called its extremes ; and the second and third its means . Thus , A and D are 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
... 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.
... 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 ... last terms of a proportion respectively a2 — b2 , 2 ( a + b ) , a2 + 2ab + b2 ; find the first . Ans . 2 ( a - b ) ...
... 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
... 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 ...
... 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 ...
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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
Bibliographic information
| Title | An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
| Author | Benjamin Peirce |
| Publisher | J. Munroe, 1842 |
| Original from | Princeton University |
| Digitized | 7 Jun 2010 |
| Length | 284 pages |
| Export Citation | BiBTeX EndNote RefMan |