# The Elements of Algebra ...

J. Smith; and sold by J. Deighton, and T. Stevenson, Cambridge; and J. Mawman, London, 1825 - Algebra - 305 pages
1 Review
Reviews aren't verified, but Google checks for and removes fake content when it's identified

### What people are saying -Write a review

Reviews aren't verified, but Google checks for and removes fake content when it's identified
User Review - Flag as inappropriate

Pages à faire: 65, 66, 67 et 70.

### Contents

 On Ratios 91 On Variation 103 On Arithmetical Progression 109 On Permutations and Combinations 115 On Surds 123 The Nature of Equations 135 The Transformation of Equations 142 The Limits of the Roots of Equations 151
 The cube root of a+b² 217 On the Summation of Series 227 On Chances 259 On Life Annuities 272 On the Construction of Equations 292 General Properties of Curve Lines 298 Copyright

### Popular passages

Page 80 - This process of adding the square of half the coefficient of the first power of the unknown quantity to the first member, in order to make it a perfect square, is called COMPLETING THE SQUARE.
Page 75 - A laborer agreed to serve for 36 days on condition that for every day he worked he should receive \$1.25, and for every day he was absent he should forfeit 50 cents.
Page 5 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 60 - Divide this quantity, omitting the last figure, by twice the part of the root already found, and annex the result to the root and also to the divisor, then multiply the divisor as it now stands by the part of the root last obtained for the subtrahend.
Page 68 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Page 49 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Page 97 - If four magnitudes are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Page 91 - Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other.
Page 60 - Divide the number thus formed, omitting the last figure, by twice the part of the root already obtained, and annex the result to the root and also to the divisor. Then multiply the divisor, as it now stands, by the part of the root last obtained, and subtract the product from the number formed, as above mentioned, by the first remainder and second period. If there be more periods- to be brought down, the operation must be repeated.
Page 19 - Multiply as in whole numbers, and point off as many decimal places in the product as there are in both multiplicand and multiplier. DIVISION. Divide as in whole numbers, and point off...