## Elements of Trigonometry: Plane and Spherical |

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### Common terms and phrases

angle less angle of depression angle of elevation angle opposite celestial equator celestial sphere circle circular measure colog comp cos² cosc cosh cosx cosy cotangent Cotg cotx decimal ecliptic equal find the angles Find the area Find the distance Find the height find the remaining formulas greater than 90 Hence hyperbolic functions hypotenuse initial line L.Tang latitude light-house log cot longitude mantissa meridian miles Napier's rules negative OBLIQUE TRIANGLES obtain perpendicular plane polar triangle pole Prove quadrantal triangle radians radius Required the distance Required the remaining right angle right ascension right spherical triangle right triangle roots of unity secant secx side opposite sin³ sine and cosine sinh sinx siny solution spherical triangle ABC spherical trigonometry subtends an angle tanc Tang tangent tany terminal line tower TRIGONOMETRIC FUNCTIONS values ΙΟ ΙΟΙ

### Popular passages

Page 95 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.

Page 64 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log

Page v - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.

Page 17 - The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig.

Page vi - Root of a Number: Divide the logarithm of the number by the index of the root ; the quotient is the logarithm of the required root of the number.

Page 53 - If 2 men start from the same place and travel in opposite directions, one at the rate of 4 miles an hour, and the other at the rate of 5 miles an hour, how far apart will they be at the end of 1 hour ? At the end of 2 hours ? 5 hours?

Page 64 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 64 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.

Page 46 - Two sides of a triangle, and the angle opposite one of them, being given, to describe the triangle. Let A and B be the given sides, and C the given angle.

Page v - The logarithm of a number is the index of the power to which the base of the system must be raised to equal a given number.