A Syllabus of a Course of Lectures Upon Trigonometry, and the Application of Algebra to Geometry

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John Smith, published by J. and J.J. Deighton, 1833 - Algebra - 137 pages
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Page 1 - We may now shew universally that the sine of an angle is equal to the cosine of its complement, and the cosine of an angle is equal to the sine of its complement.
Page 2 - To find the sine and cosine of the sum and difference of two angles in terms of the sines and cosines of the angles themselves.
Page 98 - THEOREM. Every section of a sphere, made by a plane, is a circle.
Page 55 - Then x = x' cos 9 + y sin 9, y = - x
Page 21 - The integral part of a logarithm is called its characteristic, and the decimal part is called the mantissa.
Page 13 - Given two sides and an angle opposite to one of them to find the remaining side. With the centre E...
Page 12 - ... also that the cosine of half the sum of these sides, is to the cosine of half their difference, as the cotangent of half the angle contained between them, to the tangent of half the sum of the angles opposite to them. COR. 2. If therefore A, B, C, be the three angles of a spherical triangle, a, b, c the sides opposite to them, I. sin.
Page 52 - Find the rectangular equation to a straight line passing through a given point, and making a given angle with a given straight line.

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