New Plane and Spherical Trigonometry |
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acute angle Adding adjacent angle corresponding assumes base bearing called characteristic circle colog column computed convenient cos a cos cos x cosine cotangent decimal decreases definition determined difference dist distance Dividing draw elements equal equation evident EXAMPLES expressed figure Find the angle find the logarithmic Find the value formula four functions Geometry Given greater Hence hypotenuse increases length less log cos log cot log csc log sin logarithm manner mantissa middle multiplying negative Note observed obtained perpendicular plane positive angle produce prove Putting quadrant radius ratio remaining respectively result right angle right triangle rule secant side sin B sin sine sinº solution Solve the following subtract taken tangent terminal line Trigonometry Whence written Ιο бо
Populære avsnitt
Side 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...
Side 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.
Side 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.
Side 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.
Side 44 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Side 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.
Side 43 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Side 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...
Side 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.
Side 87 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.