# Elementary Algebra: Embracing the First Principles of the Science

A.S. Barnes & Burr, 1860 - Algebra - 302 pages

### Popular passages

Page 69 - Then divide the first term of the remainder by the first term of the divisor...
Page 238 - A merchant bought cloth for which he paid £33 15s., which he sold again at £2 8s. per piece, and gained by the bargain as much as one piece cost him : how many pieces did he buy ? Ans. 15.
Page 16 - Similarly, any term may be transposed from one member of an equation to the other by changing its sign.
Page 248 - That is : The first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one.
Page 255 - Three quantities are in proportion when the first has the same ratio to the second, that the second has to the third ; and then the middle term is said to be a mean proportional between the other two.
Page 162 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 257 - Of four proportional quantities, the product of the two extremes is equal to the product of the two means.
Page 160 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Page 88 - To find a number which, being added to itself, shall give a sum equal to 30. Were it required to solve this problem we should first express it in algebraic language, which would give the equation x+ x= 30. By adding x to itself, we have 2x=SO. and by dividing by 2, we obtain .... x= 15.
Page 103 - A fish was caught whose tail weighed 9Z6. ; his head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together : what was the weight of the fish?