The Elements of Plane and Spherical Trigonometry

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Page 10 - With reference to any base, the logarithm of a number is the exponent of the power to which the base must be raised to produce the given number.
Page 12 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 14 - The characteristic of the logarithm of a number greater than 1 is a positive integer or zero, and is one less than the number of digits to the left of the decimal point.
Page 64 - 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 61 - Law of Sines - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Page 115 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Page 122 - The sine of the middle part equals the product of the tangents of the adjacent parts. (2) The sine of the middle part equals the product of the cosines of the opposite parts.
Page 131 - Trigonometry (qv) teaches that, in plain triangles, the sides are to each other as the sines of the opposite angles ; in spherical...
Page 132 - The demonstration is very simple ; in fact we have sin b sin c + cos b cos c cos A = sin b sin c (sina A + cos'2 A) + cos b cos c cos A = sin b sin c sin2 A + cos A (cos b...
Page 2 - A is the ratio of the adjacent side to the hypotenuse. The tangent of A ia the ratio of the opposite side to the adjacent side.

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