## 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 cos(x+y cos² cos³ cosh cosx cosy cotangent Cotg cotx decimal ecliptic equal find the angles Find the area Find the distance Find the height formulas Hence hyperbolic functions hypotenuse initial line L.Tang latitude light-house log cot loge longitude mantissa meridian miles Napier's rules negative OBLIQUE TRIANGLES obtain perpendicular plane polar triangle pole positive 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 sin b sin 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 فا

### Popular passages

Page 24 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.

Page 2 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log

Page 7 - 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 8 - 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 5 - 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 2 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 2 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.

Page 7 - 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.