## New Plane and Spherical Trigonometry |

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acute angle adjacent angle corresponding base called characteristic circle colog column computed convenient cos a cos cos x cos² cosine cotangent decimal definition determined difference dist distance Dividing draw elements equal equation EXAMPLES expressed figure find the logarithmic Find the value formula functions Geometry Given greater Hence hypotenuse increases less log cos log cot log csc log sin logarithm manner mantissa middle multiplying negative Note observed obtained opposite perpendicular plane positive angle produce prove Putting quadrant radius ratio remaining respectively result right angle right triangle rule side sin B sin sin x cos sin² sine solution subtract taken tangent terminal line Trigonometry Whence wwwww 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.