## Algebra1879 |

### Common terms and phrases

added algebraical arithmetical Assume base binomial biquadratic called changed coefficient common Compound consisting contains cube root cubic denominator denote difference digits divided divisible divisor equal EXAMINATION example exceeds expansion expressed Extract the square factors Find the least Find the number Find the value four fourth fraction geometrical given greater greatest half Hence hour increased less logarithms means method miles Multiply negative obtained Page PAPER permutations person pile positive integral values progression proportion Prove quadratic equation quotient ratio Reduce remainder represent respectively result rule scale shillings side simple equation Simplify solution Solve the equations square root substituting subtraction surd taken term things third transposing unknown quantity varies whence whole number

### Popular passages

Page 35 - Find the value of one of the unknown quantities, in terms of the other and known quantities...

Page 76 - If the illumination from a source of light varies inversely as the square of the distance, how much farther from a candle must a book, which is now 15 inches off, be removed, so as to receive just one-third as much light ? 20.

Page 26 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.

Page 99 - The logarithm of a product is the sum of the logarithms of the factors.

Page 73 - A man starts from the foot of a mountain to walk to its summit. His rate of walking during the second half of the distance is £ mile per hour less than his rate during the first half, and he reaches the summit in 5^- hours.

Page 76 - When four quantities are proportionals, the product of the extremes is equal to the product of the means. Let a, b, c, d be the four quantities ; then since they are prost С portionals r = -j, (Art.

Page 76 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.

Page 1 - The sign of subtraction, — , is read minus. It denotes that the quantity to which it is prefixed is to be subtracted. Thus, a — 6 denotes that 6 is to be subtracted from a.

Page 17 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.

Page 76 - Four quantities are said to be proportionals, when the first is the same multiple, part, or parts, of the second, that the third is of the fourth.