What does the curvature of the earth correction formula C=0.024F^2 help account for?

The formula C = 0.024F² is designed to account for the effect of the curvature of the Earth on measurements that involve horizontal distances across large areas. As surveyors work over long distances, the curvature of the Earth becomes significant. This formula helps in calculating the amount of correction needed to adjust linear measurements to account for this curvature.

When measuring straight lines over a distance, if one does not account for how the Earth's surface curves, it can lead to inaccuracies in the vertical and horizontal positioning. The formula specifically takes the distance (F) and calculates how much the curvature deviates from a straight line, ensuring the measurements reflect true surface distances rather than assuming a flat plane. This correction is vital for achieving precise survey results, especially on larger terrains where the Earth's curvature can introduce notable discrepancies.