In trigonometry and geometry, **triangulation** is the process of determining the location of a point by measuring angles to it from known points at either end of a fixed baseline, rather than measuring distances to the point directly (trilateration). The point can then be fixed as the third point of a triangle with one known side and two known angles.

Triangulation can also refer to the accurate surveying of systems of very large triangles, called **triangulation networks**. This followed from the work of Willebrord Snell in 1615–17, who showed how a point could be located from the angles subtended from *three* known points, but measured at the new unknown point rather than the previously fixed points, a problem called resectioning. Surveying error is minimized if a mesh of triangles at the largest appropriate scale is established first. Points inside the triangles can all then be accurately located with reference to it. Such triangulation methods were used for accurate large-scale land surveying until the rise of global navigation satellite systems in the 1980s.

Read more about Triangulation: Applications, Distance To A Point By Measuring Two Fixed Angles, History

### Other articles related to "triangulation, triangulations":

**Triangulation**(computer Vision) - Properties of

**Triangulation**Methods - Invariance

... In some applications, it is desirable that the

**triangulation**is independent of the coordinate system used to represent 3D points if the

**triangulation**problem is ... Not every

**triangulation**method assures invariance, at least not for general types of coordinate transformations ... matrices must transform as to produce the same homogeneous image coordinates If the

**triangulation**function is invariant to then the following relation must be valid from which ...

**Triangulation**(psychology)

...

**Triangulation**is most commonly used to express a situation in which one family member will not communicate directly with another family member, but will communicate with a third family member, which ...

**Triangulation**can also be used as a label for a form of "splitting" in which one person plays the third family member against one that he or she is upset about ...

**Triangulation**

... The debut EP "

**Triangulation**(Independent/MGM Distribution - recorded at Studio Couch and produced by Shaun O'Callaghan) was released in November 2005 to a healthy dose ...

**Triangulation**as an EP opened the door to many gigs and a new focus on releasing a full length album ...

**Triangulation**Networks

... The modern systematic use of

**triangulation**networks stems from the work of the Dutch mathematician Willebrord Snell, who in 1615 surveyed the distance ... to Perpignan and between 1733 and 1740 Jacques and his son César Cassini undertook the first

**triangulation**of the whole country, including a re-surveying of the meridian arc, leading to ...

**Triangulation**methods were by now well established for local mapmaking, but it was only towards the end of the 18th century that other countries began to establish detailed

**triangulation**...

**Triangulation**

... In computational geometry, a Pitteway

**triangulation**is a point set

**triangulation**in which the nearest neighbor of any point p within the

**triangulation**is one ... Alternatively, it is a Delaunay

**triangulation**in which each internal edge crosses its dual Voronoi diagram edge ... Pitteway

**triangulations**are named after Michael Pitteway, who studied them in 1973 ...