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A diagram illustrating great-circle distance (drawn in red) between two points on a sphere, P and Q. 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 ...
For example, to find the midpoint of the path, substitute σ = 1 ⁄ 2 (σ 01 + σ 02); alternatively to find the point a distance d from the starting point, take σ = σ 01 + d/R. Likewise, the vertex, the point on the great circle with greatest latitude, is found by substituting σ = + 1 ⁄ 2 π. It may be convenient to parameterize the ...
Given two points of interest, finding the midpoint of the line segment they determine can be accomplished by a compass and straightedge construction.The midpoint of a line segment, embedded in a plane, can be located by first constructing a lens using circular arcs of equal (and large enough) radii centered at the two endpoints, then connecting the cusps of the lens (the two points where the ...
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.
In geography, the centroid of the two-dimensional shape of a region of the Earth's surface (projected radially to sea level or onto a geoid surface) is known as its geographic centre or geographical centre or (less commonly) gravitational centre.
The Democratic Party has two paths to choose from going forward. Chicago's mayor does just the opposite. A tale of two cities: Sanctuary city Dems must choose between Americans or illegal immigrants
Find the 50 km row; 70 km is closer to 50 km than to 100 km; Note the precision at the intersection of row and column: d.d° Round to the selected precision: 37.8, −119.6 (This is a good example of a borderline case, as the latitude is quite close to 37.5°, the midpoint
Yes, Alabama did beat the SEC champion and two other ranked teams, with a strength of schedule among the toughest in the country. The Tide posted nine wins over a meat-grinder of a schedule, and ...