Elements of Plane and Spherical Trigonometry: With Numerous Examples |
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Common terms and phrases
3d quadrant acute angle Algebra ambiguity angle AOP angle of elevation centre circle circular measure Cloth colog cos a cos cos² cosc cosec cosine cot² cotangent denote English equal equation EXAMPLES express feet high find the height Find the number formulæ formulæ of Art Geometry Given two sides greater than 90 Hence hypotenuse Illustrated included angle Lessons Let ABC log cot logarithms method Napier's Rules negative observed opposite angle Paper perpendicular Plane and Spherical polar triangle positive Prove the following quadrantal triangle radian radius respectively right angles right triangle secant Sexagesimal Similarly sin A cos sin b sin sin x sin² sin²x siny spherical triangle Spherical Trigonometry subtends tan² tan²x tangent three angles tions triangle ABC trigonometric functions vertical Wells's yards ОР
Popular passages
Page 73 - 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.
Page 120 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.
Page 6 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Page 3 - O in the direction contrary to that of the hands of a watch.
Page 119 - The law of sines states that in any spherical triangle the sines of the sides are proportional to the sines of their opposite angles: sin a _ sin b __ sin c _ sin A sin B sin C...