Elementary Trigonometry, Plane and Spherical

Taintor brothers & Company, 1889 - 284 pàgines

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Pàgina x - In any plane triangle, the sum of any two sides is to their difference, as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Pàgina 182 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Pàgina 148 - Two sides of a triangle, and the angle opposite one of them, being given, to describe the triangle. Let A and B be the given sides, and C the given angle.
Pàgina 144 - The area of a triangle is equal to the product of its three sides divided by four times the radius of its circumscribed circle.
Pàgina 166 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Pàgina 167 - The extremities of that diameter of a sphere which is perpendicular to the plane of a circle are called the poles of that circle.
Pàgina 23 - If 2 men start from the same place and travel in opposite directions, one at the rate of 4 miles an hour, and the other at the rate of 5 miles an hour, how far apart will they be at the end of 1 hour ? At the end of 2 hours ? 5 hours?
Pàgina 169 - C) + sin B sin C(— cos a). ... cos A = — cos B cos C + sin B sin C cos a. (3) Similarly, cos B = — cos C cos A + sin C sin A cos b, cos C = — cos A cos B + sin A sin B cos c.
Pàgina 128 - CB : CA : : sin A : sin B. For, with A as a centre, and AD equal to the less side...

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