Rules and Formulæ in Elementary Mathematics. With Notes

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William Tomlin, 1873 - 104 σελίδες
 

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Σελίδα 10 - The Logarithm of a number to a given base is the index of the power to which the base must be raised to give the number. Thus if m = a", x is called the logarithm of m to the base a.
Σελίδα 75 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Σελίδα 41 - Ratio is the relation which one quantity bears to another of the same kind, the comparison being made by considering what multiple, part, or parts, one quantity is of the other.
Σελίδα 31 - To find the volume of a wedge : Add the length of the edge to twice the length of the base, and multiply the sum by one sixth of the product of the height of the wedge and the breadth of the base.
Σελίδα 66 - A ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same quantity to both its terms.
Σελίδα 31 - Add together the areas of the two ends and four times the area of a section parallel to...
Σελίδα 14 - FC are equal to one another : wherefore the circle described from the centre F, at the distance of one of them, will pass through the extremities of the other two, and be described about the triangle ABC.
Σελίδα 46 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Σελίδα 3 - Now 10p+'-10r=(10'-l)10i'; and 10'- 1 when expressed by figures in the usual way will consist of q nines. Hence we deduce the usual rule for finding the value of a recurring decimal ; subtract the integral number consisting of the non-recurring figures from the integral number consisting of the non-recurring and recurring figures, and divide by...
Σελίδα 15 - HYMERS'S Theory of Equations, Art. 174. 64. We will exemplify the articles of this chapter by applying them to prove some properties of a triangle. The lines drawn from the angles of a triangle to the middle points of the opposite sides meet in a point.

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