Elementary Trigonometry, Plane and Spherical

Εξώφυλλο
Taintor brothers & Company, 1889 - 284 σελίδες
 

Άλλες εκδόσεις - Προβολή όλων

Συχνά εμφανιζόμενοι όροι και φράσεις

Δημοφιλή αποσπάσματα

Σελίδα 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.
Σελίδα 182 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Σελίδα 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.
Σελίδα 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.
Σελίδα 166 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Σελίδα 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.
Σελίδα 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?
Σελίδα 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.
Σελίδα 128 - CB : CA : : sin A : sin B. For, with A as a centre, and AD equal to the less side...

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