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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 distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line. The formula for calculating it can be derived and expressed in several ways.
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.
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 ).
The distance between two points in physical space is the length of a straight line between them, which is the shortest possible path. This is the usual meaning of distance in classical physics, including Newtonian mechanics. Straight-line distance is formalized mathematically as the Euclidean distance in two- and three-dimensional space.
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