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2nir ad inf angle AOP angle of elevation angular points Binomial Theorem centre circle circumcentre circumcircle circumference complex quantity cos0 cos2 cos3 cos4 cos5 cosec cosh cosine cotangent decreases denoted diff distance error EXAMPLES expression factors feet Find the angle find the height find the values flagstaff formulae of Art given log gives Hence horizontal plane incircle infinite inscribed integer last article length Let the revolving loga logarithm loge miles multiple nearly number of radians obtained pedal triangle places of decimals positive or negative principal value prove quadrilateral radius regular polygon respectively revolving line right angle sec2 secant Sexagesimal shew shewn Similarly sin0 sin2 sin3 sine sinh subtends an angle tan2 tangent tanh Theorem tower trigonometrical functions trigonometrical ratios 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 xxvii - Books I. and II. Is. 6d., Books III. and IV. Is. 6d., Books V. and VI., Is. 6d. SALLUST. CATILINA AND JUGURTHA. With a Life.
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.