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A-sin A+B)+log a+b+c A₁ abscissa acute angle adjacent angle algebraic angle opposite Asin axis B₁ B₂ c=log C₁ C₁-log C₂ circumference computed convex angle coördinates cos a sin cos² cosecant cosine cotangent denoted distance drawing drawn equal equations of 152 example feet figure Find the angles find the functions Form formulas fourth quadrant geometric greater than 180 hypothenuse included angle less than 180 line OA log cos log cot log csc log sec log sin log tan modulus natural functions opposite angle opposite side opposite the former perpendicular plane triangle points B₁ polar radius projecting angle Results right triangles rods secant second member second quadrant semi-circumference sides measure sin A cos sin A sin sin² sine solution spherical triangle substitution subtracting Table taken tangent terminal line Third side tion tive triangle measure vertex whence
Page 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.
Page 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.
Page 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.
Page 166 - That is, the sines of the sides of a spherical triangle are proportional to the sines of the opposite angles.
Page 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.
Page 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?
Page 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.