An Elementary Trigonometry

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Thompson, Bigelow, and Brown, 1873
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Page 23 - A = sin. A : a which is the same as the first proportion in Theorem I. THEOREM III. 48. 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. Let ABC be a plane triangle;
Page 63 - I. Multiply half the sum of the parallel sides by the perpendicular distance between them. 144. If the angles are known, we can use RULE II. Divide the trapezoid by a diagonal, and find the area of each triangle
Page 24 - 2 As the product of the sum and difference of two quantities is equal to the difference of their squares, we have (AD
Page 50 - 1.979924 109. If В С, the side opposite the given angle, is less than the other given side AB, and the given angle is acute, there are two triangles which satisfy the conditions, viz. ABC and ABD, in which the angles
Page 62 - As the product of the sum and difference of two quantities is equal to the difference of their squares, we have 4
Page 47 - is to their difference, as the tangent of half the sum of the opposite angles is to the tangent of

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