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The great-circle distance, orthodromic distance, or spherical distance is the distance along a great circle . It is the shortest distance between two points on the surface of a sphere, measured along the surface of the sphere (as opposed to a straight line through the sphere's interior). The distance between two points in Euclidean space is the ...
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 ...
The skyscrapers of Center City, Philadelphia, the downtown part of the city, from the South Street Bridge. New York City, Chicago, and Philadelphia are the only incorporated places in the United States that have a population over 1,000,000 and a population density over 10,000 people per square mile. Population.
The distance from (x 0, y 0) to this line is measured along a vertical line segment of length |y 0 - (-c/b)| = |by 0 + c| / |b| in accordance with the formula. Similarly, for vertical lines (b = 0) the distance between the same point and the line is |ax 0 + c| / |a|, as measured along a horizontal line segment. Line defined by two points
The haversine formula determines the great-circle distance between two points on a sphere given their longitudes and latitudes.Important in navigation, it is a special case of a more general formula in spherical trigonometry, the law of haversines, that relates the sides and angles of spherical triangles.
This list ranks the top 150 U.S. cities (incorporated places) by 2023 land area. Total areas including water are also given, but when ranked by total area, a number of coastal cities appear disproportionately larger. San Francisco is an extreme example: water makes up nearly 80% of its total area of 232 square miles (601 km 2 ).
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