Lost interior section corner by double proportionate measurement
An interior section corner is lost with existent corners a mile or so in each of the four cardinal directions. Restore it by double proportionate measurement and verify that the record latitude and departure ratios are preserved.
Analyze· about 30 minutes by hand· 6 steps
Given
An interior section corner, lost, with the nearest existent original corners recovered on the section lines in all four cardinal directions. Coordinates are in US survey feet on a local plane grid, carried to 0.01 ft.
West existent corner: N 100,271.18, E 200,118.62.
East existent corner: N 100,313.44, E 210,680.35.
South existent corner: N 95,008.20, E 205,390.06.
North existent corner: N 105,535.90, E 205,431.18.
Original record east-west: west corner to the lost corner 80.00 chains, lost corner to the east corner 79.72 chains.
Original record north-south: south corner to the lost corner 80.00 chains, lost corner to the north corner 79.44 chains.
One chain is 66 ft. The corner is genuinely lost; no accessories, no stone hole and no acceptable collateral evidence were found.
Required
The measured distance and direction on each of the two controlling lines.
The proportion point on each line.
The coordinates of the restored corner and the cardinal offsets from each proportion point.
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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