## Algebra for High Schools and Colleges: Containing a Systematic Exposition and Application of the Elementary and Higher Principles of the Science |

### Contents

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### Common terms and phrases

acres added Algebraic approximate value Arithmetical Progression Binomial Theorem cent common denominator common difference completing the square component factors Continued Fraction corresponding cube root denotes dividend divisor Equation containing example exponent extracting the square Find a number Find the cube Find the Product Find the Quotient Find the square Find the Sum Find the value Function Geometrical Progression given Equation given fraction given number greater greatest common measure Hence imaginary improper Fraction Inequality integral irrational last term least common multiple less letters logarithm lowest terms method miles monomial multiplied negative number of terms obtained polynomial positive preceding prefixed problem proportion quadratic Quadratic Equations ratio real roots Reduce remainder required root Resolve second equation second member second term side signs changed simplest form solution square rods square root substituted subtracting Surds unknown quantity value of x whole number yards

### Popular passages

Page 299 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the...

Page 209 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.

Page 105 - Three quantities are said to be in harmonical proportion, when the first is to the third, as the difference between the first and second is to the difference between the second and third.

Page 85 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.

Page 177 - A set out from C towards D, and travelled 7 miles a day. After he had gone 32 miles, B set out from D towards C, and went every day J^ of the whole journey; •and after he had travelled as many days as he went miles in a day, he met A. Required the distance from C to D.

Page 206 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare?

Page 80 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.

Page 79 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.

Page 60 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.

Page 244 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log