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Component Dip Nomogram
When the magnitude and direction of a true dip of a plane are given the magnitude of the component dip in a vertical plane in any direction may be very conveniently solved for routine work by means of a circular nomogram.
Let () be the true dip and () the component of the true dip in a direction which makes an angle (o) with the direction of the true dip; then it is well known that:
or, if (m) is a scale factor the constructional determinant for the nomogram may be written:
then, eliminating (Tan ) between these two equations, it is found that:
which is the equation to a circle passing through the origin whose radius is equal to (m). Thus, the scale for the true dip () is therefore the upper half of the circumference of a circle of radius (m); similarly, the scale for the direction (O) is the lower half of the circumference of the same circle, and the scale for the component dip () is the diameter of this circle separating the () and (O) scales.
The completed nomogram is shown in , together with an example from which it is seen that by a straight line alignment of the scales that when (O) = 36 degrees and () = 30 degrees, the component dip () = 25 degrees.
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