New Plane and Spherical TrigonometryD. C. Heath, 1907 - 126 pàgines |
Altres edicions - Mostra-ho tot
Frases i termes més freqüents
A'BC abscissa acute angle adjacent side C₁ CD² check formula circle circular measure colog cologarithms cos a cos cos² cos²x cos³ cosecant cosine cotangent cubic equation decimal Denoting equal equation EXAMPLES expressed find log Find the angles Find the distance Find the logarithm Find the value Geometry given elements Given log Hence hypotenuse included angle log cos log cot log sin log tan manner mantissa multiple of 360 negative angle Note obtuse ordinate perpendicular to XX Pl dist Pl ord polar triangle positive angle quadrant Fig radius ratio right angle right spherical triangle right triangle secant second quadrant sin B sin sin² sin²x sin³ sine solution of oblique Solve the following Spherical Trigonometry subtract tan-¹a tan² tan²x terminal line trigonometric functions Whence by definition α α ос
Passatges populars
Pàgina 96 - In a Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...
Pàgina 63 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Pàgina 42 - Hence, the characteristic of the logarithm of a number greater than 1 is 1 less than the number of places to the lefl of the decimal point.
Pàgina 62 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Pàgina 44 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Pàgina 6 - ... in a direction contrary to the motion of the hands of a watch, with — and be this particularly noted — a constant tendency to turn inwards towards the centre of lowest barometer.
Pàgina 97 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Pàgina 43 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Pàgina 81 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Pàgina 95 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.