## The elements of algebra, with additions by W. Galbraith and W. Rutherford |

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### Contents

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### Common terms and phrases

added Algebra Answers arithmetical ax˛ base becomes changed coefficients common compound consequently containing continued course denominator denote determine difference divided division divisor equal equation EXAMPLES expansion expression extracted factors find the number Find the sum find the value former formula four fourth fraction given gives greater greatest happening hence increased indices integral interest known least less letters logarithms manner means method multiplied negative obtained operation person pile placed positive PRACTICE preceding probability PROBLEM progression PROP proportionals quadratic question quotient ratio Reduce remainder required to find result rule sides signs simple solution square root substituting subtracted successively surd taken taking third tion transformed triangle unknown quantity value of x variations varies whole number

### Popular passages

Page 19 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

Page 136 - ... each. Then, as the difference of these results is to the difference of the two assumed numbers, so is the difference between the true result, and either of the former, to the correction of the...

Page 41 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.

Page 100 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...

Page 100 - 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 as much as 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Ans. 300.

Page 100 - There is a fish whose tail weighs 9i6., his head weighs as much as his tail and half his body, and his body weighs as much as his head and his tail ; what is the whole weight of the fish. Ans.

Page 97 - A labourer engaged to serve for 40 days, on condition that for every day he worked he should...

Page 157 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.

Page 202 - ... the coefficient of the fourth term is the sum of the products of the...

Page 114 - It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14.