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Topic: Haversine formula


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  Haversine formula -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-08)
It is a special case of a more general formula in (The trigonometry of spherical triangles) spherical trigonometry, the law of haversines, relating the sides and angles of spherical "triangles".
Given a unit sphere, a "triangle" on the surface of the sphere is defined by the (A circular line on the surface of a sphere formed by intersecting it with a plane passing through the center) great circles connecting three points u, v, and w on the sphere.
In order to obtain the haversine formula of the previous section from this law, one simply considers the special case where u is the (The northernmost point of the Earth's axis) north pole, while v and w are the two points whose separation d is to be determined.
www.absoluteastronomy.com /encyclopedia/h/ha/haversine_formula.htm   (832 words)

  
 math lessons - Haversine
The haversine formula is an equation important in navigation, giving distances between two points on a sphere from their longitudes and latitudes.
The formulas could equally be written in terms of any multiple of the haversine, such as the older versine function (twice the haversine).
In order to obtain the haversine formula of the previous section from this law, one simply considers the special case where u is the north pole, while v and w are the two points whose separation d is to be determined.
www.mathdaily.com /lessons/Haversine   (883 words)

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