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To measure planimetrics a planimeter or dot planimeter is used. This rather advanced analog technology is being taken over by simple image measurement software tools like, ImageJ, Adobe Acrobat, Google Earth Pro, Gimp, Photoshop and KLONK Image Measurement which can help do this kind of work from digitalized images.
The images show the principles of a linear and a polar planimeter. The pointer M at one end of the planimeter follows the contour C of the surface S to be measured. For the linear planimeter the movement of the "elbow" E is restricted to the y-axis. For the polar planimeter the "elbow" is connected to an arm with its other endpoint O at a fixed ...
The dot planimeter differs from other types of planimeter, which measure the area of a shape by passing a device around its boundary. [ 5 ] The Steinhaus longimeter is a similar transparency-based device for estimating the length of curves by counting crossings.
A plane table (plain table prior to 1830) [1] is a device used in surveying, site mapping, exploration mapping, coastal navigation mapping, and related disciplines to provide a solid and level surface on which to make field drawings, charts and maps.
It is a transparent sheet of three grids, turned against each other by 30 degrees, each consisting of parallel lines spaced at equal distances 3.82 mm.The measurement is done by counting crossings of the curve with grid lines.
With the introduction of computers, the analytical stereoplotter became a popular machine of choice for photogrammetry in the late 1960s to 1970s. A stereoplotter is an instrument that uses stereo photographs to determine elevations for the purpose of creating contours on topographic maps.
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]
A simple opisometer consists of a toothed wheel of known circumference on a handle. The wheel is placed in contact with the curved line to be measured and run along its length.
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