The Essentials of Plane and Spherical Trigonometry

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Leach, Shewell, and Sanborn, 1887 - 151 стор.
 

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Сторінка 1 - To express fractional parts of the unit, the degree is divided into sixty equal parts called minutes, and the minute into sixty equal parts, called seconds. Degrees, minutes, and seconds are represented by the symbols, °. ', ", respectively. Thus, 43° 22' 37" represents an angle of 43 degrees, 22 minutes, and 37 seconds.
Сторінка 107 - If the function is a sine, since the sine of an angle is equal to the sine of its supplement...
Сторінка 1 - ... is the angle subtended at the centre of a circle by an arc whose length is equal to the radius of the circle.
Сторінка 56 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Сторінка 96 - If two sides of a spherical triangle are unequal, the angles opposite them are unequal, and the greater angle lies opposite the greater side ; and conversely.
Сторінка 76 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Сторінка 57 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Сторінка 104 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Сторінка 115 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...
Сторінка 58 - ... the logarithm of any power of a quantity is equal to the logarithm of the quantity multiplied by the exponent of the power. Assume the equation a* = m ; whence, x = loga m.

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