New Plane and Spherical Trigonometry

Leach, Shewell and Sanborn, 1896 - 126 pāgines

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Pāgina 87 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Pāgina 96 - In a 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...
Pāgina iv - The foregoing method is based on the assumption that the differences of logarithms are proportional to the differences of their corresponding numbers, which, though not strictly accurate, is sufficiently exact for practical purposes.
Pāgina 62 - 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.
Pāgina 63 - 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.
Pāgina 43 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Pāgina 44 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Pāgina 81 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Pāgina 36 - ... in a direction contrary to the motion of the hands of a watch, with — and be this particularly noted — a constant tendency to turn inwards towards the centre of lowest barometer.
Pāgina 95 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.

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