Center of section by intersection of the quarter-corner lines
A section is subdivided from eight recovered monuments. The center of section is fixed by intersecting the north-south and east-west quarter-corner lines, and the four quarter-section areas are computed and checked against the whole.
Apply· about 28 minutes by hand· 6 steps
Given
A retracement of a normal section in which all four section corners and all four quarter corners were recovered as existent original monuments. Coordinates in US survey feet on a local plane grid, to 0.01 ft.
Section corners: SW at N 512,340.18, E 1,204,662.55; SE at N 512,318.90, E 1,209,946.02; NE at N 517,606.33, E 1,209,972.44; NW at N 517,630.71, E 1,204,684.16.
Quarter corners: S¼ at N 512,329.02, E 1,207,306.88; E¼ at N 514,960.44, E 1,209,957.86; N¼ at N 517,617.55, E 1,207,330.10; W¼ at N 514,984.60, E 1,204,672.31.
Areas are to be reported in acres to 0.01 acre, with 43,560 square feet to the acre.
Required
The two quarter-corner lines, as distance and bearing.
The coordinates of the center of the section.
The area of each of the four quarter sections, and a check on their sum.
Work it through yourself before reading on - the solution below shows every step, so there is no way to skim it without giving the answer away.
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