Plane trigonometry and logarithmsC.F. Hodgson, 1865 - 182 sider |
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Plane Trigonometry and Logarithms John Walmsley,Senior Lecturer in Medieval History John Walmsley Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
A-sin A+ cos A-1 A+ cot A+B A-B a+b-c A+B+C a²+b² angle AOP Asin B-cot base centre CHAPTER circular measure circumscribed circumscribing circle common logarithms cos² cos³ cosec cosine cot A+ cot B cot cot² cotangent decimal fraction decreases diff digits distance equal EXAMPLES expression Find log find the number Find the values formulæ functions Given log Hence increases inscribed circle integer LADC linear units log a+L magnitude mantissa miles N₁ negative observed perpendicular polygon positive proportional Prove the formulæ quadrant radius regular polygon respectively right angle sec² secant sexagesimal sin A sin sin A+ sin² sin³ solution of triangles solve the triangle steeple straight line subtracting tables tan-¹ tan² tangent tower transposing trigonometrical ratios unit of circular versin yards π π вс
Populære avsnitt
Side 77 - Suppose a* =n, then x is called the logarithm of n to the böge a ; thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The- logarithm of n to the base a is written Iog0 n ; thus log„ii = a; expresses the same relation, as a* = n.
Side 109 - A, and at a distance of a from it, the elevation is 18°. Show that the height of the tower is — ; the tangent of 18° being 25.
Side 112 - On the bank of a river there is a column 200 feet high supporting a statue 30 feet high ; the statue to an observer on the opposite bank subtends an equal angle with a man 6 feet high standing at the base of the column; required the breadth of th
Side 23 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°.
Side 81 - Hence the characteristic is n — 1 ; that is, the characteristic of the logarithm of a number greater than unity is less by one than the number of digits in its integral part, and is positive.
Side 121 - The square on the side of a regular pentagon inscribed in a circle is equal to the sum of the squares on the sides of the regular hexagon and decagon inscribed in the same circle.
Side 122 - ... 66. Construct an equilateral triangle, having given the length of the perpendicular drawn from one of the angles on the opposite side. 67. Having given the straight lines which bisect the angles at the base of an equilateral triangle, determine a side of the triangle. 68. Having given two sides and an angle of a triangle, construct the triangle, distinguishing the different cases.
Side 22 - Find the distance of the lighthouse from each position of the ship.
Side 121 - Show that the area of a regular polygon inscribed in a circle is a mean proportional between the areas of an inscribed and circumscribing polygon of half the number of sides.
Side 109 - The elevation of a tower standing on a horizontal plane is observed ; a feet nearer, it is found to be 45°...