Algebra1879 |
Common terms and phrases
a²x² algebraical arithmetical progression base binomial binomial theorem biquadratic clearing of fractions coefficient Compound cube root cubic equation denominator digits are reversed divided divisor duodenary scale example Extract the square Find the L.C.M. Find the least Find the number Find the positive Find the square Find the sum Find the value geometrical given half crowns Hence INDETERMINATE EQUATIONS least common multiple least positive integral less logarithms miles Multiply nth term number consisting number of balls number of permutations PAPER positive integral values Prove quadratic equation quotient radix ratio remainder represent the number Required the number second term shillings side simple equation Simplify Solve the equations square root subtraction surd things taken transposing unknown quantity whence x²-y² x²y x²y² xy²
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.