Plane and Spherical Trigonometry

Ginn, 1905 - 234 pàgines

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Pàgina 75 - 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 78 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Pàgina 142 - A pole is fixed on the top of a mound, and the angles of elevation of the top and the bottom of the pole are 60° and 30° respectively.
Pàgina 149 - It will be demonstrated art. 452, that every section of a sphere made by a plane is a circle.
Pàgina 18 - ... the angle to be 30°. Find the height of the tree and the breadth of the river, if the two points of observation are in the same horizontal line at the base of the tree.
Pàgina 174 - 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 173 - 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 129 - The modulus of the quotient of two complex numbers is equal to the quotient of their moduli.
Pàgina 55 - B — sin A sin B cos (A — B) — - cos A...