Laying out the SW¼ of the NE¼ from section corner coordinates
From four section corner coordinates, protract the quarter corners, fix the center of the section and the center of the north-east quarter, then lay out the SW¼ of the NE¼ and compute its area.
Analyze· about 30 minutes by hand· 6 steps
Given
A normal section in which only the four section corners were recovered; no quarter corners or interior monuments exist and none are called for by the original notes beyond the regular protraction. Coordinates in US survey feet on a local plane grid, to 0.01 ft.
SW section corner: N 2,014,318.62, E 6,102,455.30.
SE section corner: N 2,014,296.05, E 6,107,742.88.
NE section corner: N 2,019,585.40, E 6,107,770.16.
NW section corner: N 2,019,610.22, E 6,102,480.94.
Areas are reported in acres to 0.01 acre, with 43,560 square feet to the acre.
Required
The protracted quarter corners and the center of the section.
The center of the NE¼ and the four corners of the SW¼ of the NE¼.
The bearings and lengths of the four sides of that quarter-quarter, and its area.
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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