Which method must be used to re-establish a lost corner?

To re-establish a lost corner, the proportionate measurement method is essential because it involves utilizing existing survey points to determine the location of the lost corner by maintaining the relative proportions of the established boundaries and angles. This is particularly crucial in land surveying, as it allows surveyors to accurately recreate the position of a corner that is no longer physically marked while ensuring compliance with historical measurements and legal descriptions. The process typically requires analyzing and interpreting the original survey data and applying those proportions to refine the location of the lost corner with respect to known points.

Other methods, while valuable in different contexts, do not focus on recreating the precise location of a lost corner based on existing boundary relationships. Geometric measurement may provide a way to measure distances or create new geometric figures, but it lacks the historical context necessary for accurately re-establishing a lost corner. Direct measurement could be used in some circumstances but may not consider the proportions required from the original survey. GPS measurement, although effective for locating points, does not inherently account for the historical layout and proportions necessary to replicate the lost corner accurately.