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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. A dot planimeter is a device used in planimetrics for estimating the area of a shape , consisting of a transparent sheet containing a square grid of dots.
The fundamental method to create a buffer around a geographic feature stored in a vector data model, with a given radius r is as follows: [4] Single point: Create a circle around the point with radius r. Polyline, which consists of an ordered list of points (vertices) connected by straight lines. This is also used for the boundary of a polygon.
A geofence can be dynamically generated (as in a radius around a point location) or match a predefined set of boundaries (such as school zones or neighborhood boundaries). The use of a geofence is called geofencing , and one example of use involves a location-aware device of a location-based service (LBS) user entering or exiting a geofence.
Locator maps on Wikipedia and Wikivoyage articles for cities and points of interest are powered by a MediaWiki extension and the OSM-based Wikimedia Maps service. [94] The locator maps on Craigslist , [ 95 ] Facebook , [ 96 ] Flickr , [ 97 ] Foursquare City Guide , [ 98 ] Gurtam 's Wialon, [ 99 ] and Snapchat [ 100 ] are also powered by OSM.
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]
The authalic radius is an surface area-equivalent radius for solid figures such as an ellipsoid. The osculating circle and osculating sphere define curvature -equivalent radii at a particular point of tangency for plane figures and solid figures, respectively.
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That point is represented by the entire circular boundary of the map, and the ocean around that point appears along the entire boundary. The Lambert azimuthal equal-area projection with Tissot's indicatrix of deformation. The Lambert azimuthal equal-area projection is a particular mapping from a sphere to a disk.