A Syllabus of a Course of Lectures Upon Trigonometry, and the Application of Algebra to Geometry |
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A Syllabus of a Course of Lectures Upon Trigonometry, and the Application of ... Henry Pearson No preview available - 2009 |
A Syllabus of a Course of Lectures Upon Trigonometry, and the Application of ... Henry Pearson No preview available - 2016 |
Common terms and phrases
a²+b² a²b² algebraically parallel angle BAC angle opposite asymptotes axis major calculated called centre Chap circle co-ordinate planes coefficients conjugate diameters considered corresponding cos² cosine and sine cotangent cubic equation decimal denote distance ellipse equa equal Equation of Curve equivalent expressed formulæ geometrical given angle given in Art given line given point goniometrical hyperbola hyperboloid inasmuch last Article line whose equation logarithmic computation magnitude mantissa negative numerical values origin parabola perpendicular plane of xy position AC primitive line principal axes proposition radius AC ratio respectively right angles sec² secants and cosecants SECT sections parallel sexagesimal sides signs of affection sin sin sin sin² sines and cosines straight line subsidiary angle tables of logarithms tan² tangents and cotangents tion triangle is determined vers versed sine whole number
Popular passages
Page 3 - 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 4 - 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 100 - THEOREM. Every section of a sphere, made by a plane, is a circle.
Page 23 - The integral part of a logarithm is called its characteristic, and the decimal part is called the mantissa.
Page 15 - Given two sides and an angle opposite to one of them to find the remaining side. With the centre E...
Page 14 - ... 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 54 - Find the rectangular equation to a straight line passing through a given point, and making a given angle with a given straight line.