## The Elements of Plane Trigonometry |

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### Common terms and phrases

A B C acute angle angle greater Arithmetic base Book centre cents CHAPTER chords circle circular measure consider construction corresponding cosec cosine cotangent Denote Derive Dictionary difference Dividing draw edition English equal equation EXAMPLE expressed figure German given angle Grammar greater GREEK hypotenuse inch increases known length less limit logarithms meeting method minutes negative number of degrees numerical value obtain obtuse angle opposite perpendicular positive produced Prove quadrant radius respectively right angles right-angled triangle secant seconds side similar sine sine and cosine solve the triangle straight line suppose tables tangent tions triangle of reference trigonometric functions trigonometric ratios unit versin

### Popular passages

Page 56 - When the given angle is acute, and the side t4>posite the given angle is less than the other given side, and greater than the shortest distance from E to DG, there will be two solutions, DEQ and DEF.

Page 112 - Designed to impart readiness in mental calculations, and extending them to all the operations of business life. Introduces new and beautiful analyses, and is invaluable for teaching quickness of thought.

Page 111 - Advanced Course of Composition and Rhetoric. A Series of Practical Lessons on the Origin, History, and Peculiarities of the English Language, Punctuation, Taste, the Pleasures of the Imagination, Figures, Style, and its Essential Properties, Criticism, and the various departments of Prose and Poetical Composition; illustrated with copious Exercises.

Page 70 - To express the sine and cosine of the sum of two angles in terms of the sines and cosines of the angles themselves.

Page 74 - Express the cosine of the difference of two angles in terms of the sines and cosines of these angles.

Page 87 - A = a ; that, is, the circular measure of any angle, at the centre of a circle whose radius is unity, is equal to the length of the arc subtending that angle.