Haversine formula
![Spherical triangle solved by the law of haversines.](/Images/godic/202501/17/Law-of-haversines.svg5827.png")
The haversine formula is an equation important in navigation, giving great-circle distances between two points on a sphere from their longitudes and latitudes. It is a special case of a more general formula in spherical trigonometry, the law of haversines, relating the sides and angles of spherical triangles. The first table of haversines in English was published by James Andrew in 1805.