## An elementary treatise on plane trigonometry [&c.]. |

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### Common terms and phrases

A+B A-B Algebraic Signs Angle in terms angle opposite angle subtended angles is equal angles of elevation angular unit arc BQ arcs beginning area area area aro BP Calculate the angles Case.—Given Circle circumscribing circular measure circumference Common Logarithms Construct the angle cos2 cosec coseo cosine of half cotangent coversin coversM denoted respectively diameter passing DUBLIN escribed circles formula Griffin half their difference half their sum Horizontal Plane Hyperbola hypotenuse infinity l0gaP log BC log CD log sin 25 log sin 44 log0P loga Q logaP nth root number is equal observe the angle perpendicular positive cosines Ptolemy's Theorem quadrilateral radius right-angled triangle secant sin2 sine of half Sines and Cosines sinM small angle tangent terminating three angles three sides Triangle in terms trigono Trigonometrical Functions Trigonometrical Ratios TRINITY COLLEGE V2 covers V2 versin zero

### Popular passages

Page 30 - The sum of two sides of a triangle is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference

Page 42 - Logarithm.—The logarithm of a number is the exponent of the power to which a given base must be raised

Page 17 - and the Cosine of the Difference of two Angles, in terms of the Sines and Cosines of the Angles themselves. Let the

Page 47 - Two observers on the same side of a balloon, and in the same vertical plane with it, a mile apart, find its angles of elevation to be

Page 18 - Cosine of the Sum of two Angles in terms of the Sines and Cosines of the Angles themselves. Let the

Page 23 - The sum of the sines of any two angles is equal to twice the sine of half their sum multiplied by the cosine of half their difference.

Page 23 - The difference of the sines of any two angles is equal to twice the cosine of half their sum multiplied by the sine of half their difference.

Page vi - and cosine of the sum of two angles in terms of the sines and cosines of the angles themselves,

Page vi - and cosine of the difference of two angles, in terms of the sines and cosines of the angles themselves,

Page 1 - angle subtended at the centre of a circle by an arc of the circumference, equal in length to the radius