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approximately base becomes calculated called centre changes CHAPTER circle coefficient complex cosec cosh cosine cotangent decimals decreases denoted difference direction distance divided draw drawn elevation equal equation error EXAMPLES expansion expression factors feet figure find the values formulae functions given gives greater height Hence horizontal increases infinite inscribed integer length less lies logarithm loge measure miles multiple nearly negative observes obtained opposite perpendicular places plane polygon positive powers principal prove quadrant quantity radians radius regular relation respectively result revolving line right angle roots satisfy shewn sides Similarly sine sinh sinš solve stands subtends tables taken Taking tangent Theorem third tower triangle trigonometrical ratios true unity zero
Page 36 - ... the three angles of a triangle are together equal to two right angles, although it is not known to all.
Page 44 - A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 50°; walking 40 ft.
Page 13 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sidef.
Page 1 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Page 10 - If the radius of the earth be 4000 miles, what is the length of its circumference?
Page 42 - From the top of a cliff 150 ft. high the angles of depression of the top and bottom of a tower are 30° and 60°, respectively.
Page 220 - A ladder placed at an angle of 75° just reaches the sill of a window at a height of 27 feet above the ground on one side of a street. On turning the ladder over without moving its foot, it is found that when it rests against a wall on the other side of the street it is at an angle of 15° with the ground.