Plane and Spherical Trigonometry

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Macmillan, 1918 - Trigonometry - 144 pages
 

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Page 73 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Page 98 - 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...
Page 107 - ... 1. Given the three sides, a, b, c. 2. Given the three angles, A, B, C. 3. Given two sides and the included angle, a, b, C. 4. Given two angles and the included side, A, B, c. 5. Given two sides and the angle opposite one of them, a, b,A.
Page 34 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 34 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 32 - ... consists of two parts, an integral part and a decimal part. The integral part is called the characteristic of the logarithm, and may be either positive or negative.
Page 37 - Cologarithms.* The cologarithm of a number is the logarithm of the reciprocal of the number.
Page 35 - The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power. log╗ Np = p log
Page 120 - B = 79░ 27' 83. Delambre's Analogies or Gauss's Equations. Using the law of cosines we may write . cos a — cos b cos с cos A — : — — . sin b sin с Whence 1 coa -1-2 3in...
Page 35 - The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root.

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