Elementary Trigonometry

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Rivingtons, 1877 - Trigonometry - 228 pages

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Page 110 - The Logarithm of a number to a given base is the index of the power to which the base must be raised to give the number. Thus if m=a*, x is called the logarithm of m to the base a.
Page 158 - A person standing at the edge of a river observes that the top of a tower on the edge of the opposite side subtends an angle of 55░...
Page 14 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Page 198 - The area of a regular polygon inscribed in a circle is a geometric mean between the areas of an inscribed and a circumscribed regular polygon of half the number of sides.
Page 113 - The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Page 113 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 51 - From the top of a tower, whose height is 108 feet, the angles of depression of the top and bottom of a vertical column standing in the horizontal plane are found to be 30░ and 60░ respectively ; required the height of the column.
Page 180 - At a distance of 200 yards from the foot of a church tower, the angle of elevation of the top of the tower was 30░, and of the top of the spire on the tower 32░.
Page 218 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Page 179 - The angular elevation of a tower at a place A due south of it is 30░ ; and at a place B due west of A, and at...

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