Elements of Trigonometry with Logarithmic and Other Tables

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J. Wiley & sons, 1891 - Logarithms - 174 pages

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Page 98 - 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 100 - The sum of any two sides of a plane triangle is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 95 - The length of the projection of a limited line upon a plane, is equal to the length of the line multiplied by the cosine of the acute angle which it forms with the plane.
Page 63 - ... to the tangent of half their difference. Let AB, AC be two arcs of a circle ABCD ; let E be the centre, and AEG the diameter which passes through A ; sin. AC+sin. AB : sin. AC —sin. AB : : tan.
Page 96 - An angle of elevation, is a vertical angle having one of its sides horizontal, and the inclined side above the horizontal side.
Page 158 - sin В sin C' sin С sin A cos a = cos b cos с + sin 6 sin с cos A, with similar formulae for cos b and cos c. cos A = — cos В cos С + sin В sin С cos a, with similar formulae for cos В and cos C.
Page 108 - CASE II. Given two sides and an angle opposite one of them, to find the remaining parts.
Page 156 - They may cut each other, having two points common, when the distance between the centers is less than the sum and greater than the difference of the radii.

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