Elementary text-book of trigonometry
Blackie & Son, 1884 - Trigonometry - 176 pages
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angle AOB applications base bears becomes boards calculations called centre changes CHAPTER characteristic circle circumference cloth complement consider contains cos2A cosA cosB cosC cosecA cosine cotA decimal definitions degree measure denote described determined diameter difference direction distance dividing drawn equal equation Euclid EXAMPLES Express feet figure find the values formula fraction given greater height Hence inches increases length logarithm magnitude miles minutes nearly negative object observed opposite perpendicular polygon positive Prove radian measure radius Reader regular relations represented respectively revolving right angle right-angled triangle root secA sides Similarly sin2A sinA sinB sinC sine Solve square Standard subtends taking tanA tangent third tower triangle triangle ABC trigonometrical ratios usual written yards
Page 90 - The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. For, let m and n be two numbers, and x and y their logarithms. Then, by the definition of a logarithm, m — ax, and n = a".
Page 90 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Page 118 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Page 149 - Find the length of the side of a square whose area is equal to that of a rectangle the sides of which are 94 '28 and 6720 yards.
Page 89 - The logarithm of a number is the index of the power to which the base of the system must be raised to equal a given number.
Page 158 - The sides of a triangle are in arithmetical progression, and its area is to that of an equilateral triangle of the same perimeter as 3 : 5.