## New Plane and Spherical Trigonometry |

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A'BC abscissa acute angle adjacent side angle corresponding C₁ CD² check formula circle circular measure colog cologarithms cos² cos²x cos³ cosecant cosine cotangent dist equal equation EXAMPLES expressed find log Find the angle find the logarithmic Find the value Geometry Given log Hence hypotenuse I.IO log cot log csc log sec log sin log tan loga logarithmic sine LOGARITHMS OF NUMBERS manner mantissa multiplying Note number corresponding positive angle prove radius ratio result right angle right spherical triangle right triangle sec² secant significant figure sin B sin sin x cos sin² sin²x solution of oblique Solve the following Spherical Trigonometry subtract table of logarithmic tabular difference tan x tan² tanc terminal line trigonometric functions Whence by definition wwwww wwwwwwwwww x sin y бо بن بن بن

### Popular passages

Page 96 - In a Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...

Page 63 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.

Page 42 - Hence, the characteristic of the logarithm of a number greater than 1 is 1 less than the number of places to the lefl of the decimal point.

Page 62 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.

Page 44 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.

Page 6 - ... in a direction contrary to the motion of the hands of a watch, with — and be this particularly noted — a constant tendency to turn inwards towards the centre of lowest barometer.

Page 43 - The logarithm of a product is equal to the sum of the logarithms of its factors.

Page 81 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...

Page iv - ... are not as many figures in the quotient as there are ciphers annexed to the dividend. In such a case, supply the deficiency, as in the division of decimals, by prefixing a cipher or ciphers to the quotient before annexing.

Page 87 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.