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The Bermuda Triangle, also known as the Devil's Triangle, is a loosely defined region between Florida, Bermuda, and Puerto Rico in the southwestern North Atlantic Ocean where a number of aircraft and ships have disappeared under mysterious circumstances. The idea of the area as uniquely prone to disappearances arose in the mid-20th century, but ...
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 haversine function computes half a versine of the angle θ, or the squares of half chord of the angle on a unit circle (sphere). To solve for the distance d, apply the archaversine (inverse haversine) to hav (θ) or use the arcsine (inverse sine) function: archav {\displaystyle d=r\operatorname {archav} (\operatorname {hav} \theta )=2r ...
The denominator of this expression is the distance between P 1 and P 2. The numerator is twice the area of the triangle with its vertices at the three points, (x 0,y 0), P 1 and P 2. See: Area of a triangle § Using coordinates.
Geographic coordinate conversion has applications in cartography, surveying, navigation and geographic information systems. In geodesy, geographic coordinate conversion is defined as translation among different coordinate formats or map projections all referenced to the same geodetic datum. [1] A geographic coordinate transformation is a ...
Euclidean distance. In mathematics, the Euclidean distance between two points in Euclidean space is the length of the line segment between them. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, and therefore is occasionally called the Pythagorean distance. These names come from the ancient Greek ...
The trilinear coordinates of the incenter of a triangle ABC are 1 : 1 : 1; that is, the (directed) distances from the incenter to the sidelines BC, CA, AB are proportional to the actual distances denoted by (r, r, r), where r is the inradius of ABC. Given side lengths a, b, c we have: Name; Symbol. Trilinear coordinates. Description. Vertices.
Solution of triangles. Problem of finding unknown lengths and angles of a triangle. Solution of triangles (Latin: solutio triangulorum) is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths of sides), when some of these are known. The triangle can be located on a plane or on a sphere.