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The method using a finer grid tends to have better statistical efficiency than repeated measurement with random placements. [ 2 ] According to Pick's theorem , published by Georg Alexander Pick in 1899, the version of the dot planimeter with boundary dots counting as 1/2 (and with an added correction term of −1) gives exact results for ...
Township (Twp, T): A square parcel of land of 36 square miles, or a measure of the distance north or south from a referenced baseline, in units of six miles. Witness: Any marker set on the ground that marks or represents some other nearby object or location of surveying importance, such as a corner. For example, a bearing tree is a witness to a ...
Since an acre measured 10 square chains in Gunter's system, the entire process of land area measurement could be computed using measurements in chains, and then converted to acres by dividing the results by 10. [2] Hence 10 chains by 10 chains (100 square chains) equals 10 acres, 5 chains by 5 chains (25 square chains) equals 2.5 acres.
Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]
If one ignores the geometry and merely considers the problem an algebraic one of Diophantine inequalities, then there one could increase the exponents appearing in the problem from squares to cubes, or higher. The dot planimeter is physical device for estimating the area of shapes based on the same principle. It consists of a square grid of ...
This area is also equal to the area of the parallelogram A"ABB". The measuring wheel measures the distance PQ (perpendicular to EM). Moving from C to D the arm EM moves through the green parallelogram, with area equal to the area of the rectangle D"DCC". The measuring wheel now moves in the opposite direction, subtracting this reading from the ...
The American Measurement Standard. ISBN 978-0-578-00244-6. Size Matters-Residential Square Footage. ISBN 978-1500866075 and; How to Measure a House. ISBN 978-1456491987. Realtor Magazine. "In Search of A Standard." September 2008. Approved for use by the Mississippi Appraisal Board. January 2019.
Topographic points or stakeout points should not be measured outside this area. If measured outside this area, the errors in orientation will be extrapolated instead of being interpolated. [6] While it is possible to use only two known control points in a resection (free stationing), it is recommended to use three control points.