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Two antipodal points, u and v are also shown. The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path between the two points on the surface of the sphere. (By comparison, the shortest path passing ...
A mile marker on the U.S. National Road giving distances from many places. Slate milestone near Bangor, Wales. A milestone is a numbered marker placed on a route such as a road, railway line, canal or boundary. They can indicate the distance to towns, cities, and other places or landmarks like mileage signs; or they can give their position on ...
Geographical distance or geodetic distance is the distance measured along the surface of the Earth, or the shortest arch length. The formulae in this article calculate distances between points which are defined by geographical coordinates in terms of latitude and longitude. This distance is an element in solving the second (inverse) geodetic ...
Mileage sign. A mileage sign, sometimes also called a route confirmation sign or simply a distance sign in certain contexts, is a type of road sign along highways that displays the distance from the current point on a highway to a certain city, destination, or a junction to another highway. Their purpose is to inform drivers of the distance to ...
The following table is an overview of high-speed rail in service and under construction by country, ranked by the amount in service. It shows all the high speed lines (speed of 200 km/h (125 mph) or over) in service. The list is based on UIC figures (International Union of Railways), [3][4] updated with other sources. [5]
There are 70 primary interstate highways in the 48 contiguous United States as well as five former and two future primary interstate highways. This number does not include auxiliary Interstate Highways. Serves six states: Texas, Mississippi, Kentucky, Indiana, Michigan. Planned/started in 3 more: Louisiana, Arkansas, Tennessee.
Noting that sin ( π 2 − φ) = cos (φ), the haversine formula immediately follows. To derive the law of haversines, one starts with the spherical law of cosines: As mentioned above, this formula is an ill-conditioned way of solving for c when c is small. Instead, we substitute the identity that cos (θ) = 1 − 2 hav (θ), and also ...
Euclidean distance. In mathematics, the Euclidean distance between two points in Euclidean space is the length of the line segment between them. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, and therefore is occasionally called the Pythagorean distance. These names come from the ancient Greek ...
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