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The primary grid pattern is of quarter sections (1 ⁄ 2 mi × 1 ⁄ 2 mi (800 m × 800 m)). In U.S. land surveying under the Public Land Survey System (PLSS), a section is an area nominally one square mile (2.6 square kilometers), containing 640 acres (260 hectares), with 36 sections making up one survey township on a rectangular grid. [1]
The dot planimeter is physical device for estimating the area of shapes based on the same principle. It consists of a square grid of dots, printed on a transparent sheet; the area of a shape can be estimated as the product of the number of dots in the shape with the area of a grid square. [8]
A radius-5 circle overlaid with a grid of dots in the pattern of a dot planimeter. When counting dots near the boundary of the shape as 1/2, there are 69 interior dots and 20 boundary dots for an estimated area of 79, close to the actual area of 25 π ≈ 78.54.
The apparent triangles formed from the figures are 13 units wide and 5 units tall, so it appears that the area should be S = 13×5 / 2 = 32.5 units. However, the blue triangle has a ratio of 5:2 (=2.5), while the red triangle has the ratio 8:3 (≈2.667), so the apparent combined hypotenuse in each figure is actually bent.
Below is a brief description of how to lay out the DLS grid for Alberta. [3] [4] Lay off 6-mile-3-chain (9.7 km) ticks from the 49th parallel of latitude to the 60th parallel. This gives 127 township lines. The 49th parallel of latitude is the first base line of the ATS system.
U.S. mortgage rates rose this week to the highest level since July. The benchmark 30-year fixed rate loan rate rose to 6.91% from 6.85% last week, according to mortgage giant Freddie Mac. The ...
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]
Maps and electoral vote counts for the 2012 presidential election. Our latest estimate has Obama at 277 electoral votes and Romney at 191.
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