The Elements of Practical Astronomy

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DETERMINATION OF THE LEVEL CONSTANT 94. The level constant b is generally found by means of a spirit level, as explained in § 62. However, the level is applied to the outer surface of the cylindrical pivots and does not give the inclination of the axis, which passes through their centers, unless their radii are equal.
To determine the inequality of the pivots and the method of eliminating it, let A and B, Fig. 23, be the Fig. 23 centers of the west and east pivots, for clamp west; ili" and M' t
...he vertices of the V's in which the pivots rest; L DETERMINATION OF THE LEVEL CONSTANT 135 and L' the vertices of the V's of the level ; and HM' a horizontal line. Then BAG = BAB is the inequality of the pivots, which we shall represent by p. If we let B' = the inclination given by the level for clamp west, B" = the inclination given by the level for clamp east, b' = the true inclination for clamp west, b" = the true inclination for clamp east, (3 = the constant angle HM'M, we can write V =B> +p b" = B" -p ft — p, for clamp west, B + p, for clamp east ; and therefore P = B" - B' (236) (237) (238) When p has been determined, the value of the level constant is given by (236) or (237).

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