## 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

according Algebra application assumed axes axis base becomes calculated called centre changed Chap CHAPTER circle co-ordinates coefficients coincide conjugate diameters considered corresponding cos² cosec curve denote dependent described determined direction distance drawn ellipse equal equation equivalent expressed formulæ geometrical given point greater hyperbola inasmuch inclination included interpretation intersection involve last Article length less logarithms magnitude means measure meet negative oblique opposite origin parabola parallel passes perpendicular plane of xy position preceding primitive principal produced properties proposition quantity radius ratio rectangular referred represent respectively result right angles SECT sides signs of affection sin² sines and cosines squares straight line successive suppose surface symbol tables tangent tion transformed triangle values whole number

### Popular passages

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 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.