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CHAPTER V.

Problems Involving Averaging.

Example of Measurement.

As applied to the particular diagram in question, let us suppose that, having unscrewed the protecting caps from the attached needle points, we turn the Planimeter over, and placing the point T at the right hand end B of the diagram abce, we move the carriage until the needle point at F is brought to the left hand end A of the base AB and clamp the Carriage in this position.

Turning the Planimeter upright again, we place the Pole in its most favorable position, bring the Tracer to the starting point selected, adjust the instrument to Zero Reading, and trace the diagram abce in the direction indicated.

Let us suppose that at the end of the tracing we find that the Integrating Wheel has made one complete revolution and 483 one-thousandths of a revolution during the tracing of the given diagram, and that the Wheel of the Planimeter used has a circumference of 66.66 mm. It follows then that the required average or mean height of given diagram is:

1.483 × 66.66 = 98.857 mm.

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