A point P and a triangle ABC, the distances from P to the three vertices of the triangle being known and the four points being coplanar [Un point P et un triangle ABC, les distances de P aux trois sommets du triangle étant connues et les quatre points étant coplanaires ]

A point P and a triangle ABC, the distances from P to the three vertices of the triangle being known and the four points being coplanar [Un point P et un triangle ABC, les distances de P aux trois sommets du triangle étant connues et les quatre points étant coplanaires].




This is a very simplified explanation of the process used for the 'GPS' (Navstar Global Positionning System). In particular with the bidimensional one when obviously the actual 'GPS' is trdimensional and must take into accounts the special and general relativities!

[More information about the GPS -in english/en anglais-]
[Plus d'informations à propos du GPS -en français/in french-]


See the bidimensional process:

A point P and a triangle ABC, the four points being coplanar A point P and a triangle ABC, the distances from P to the three vertices of the triangle being known and the four points being coplanar Bidimensional localization of a point P its distances to the three vertices of a triangle ABC being known, the four points being coplanar


See the tridimensional process:

Localization of a point P its distances to the four vertices of a tetrahedron ABCD being known Tridimensional localization of a point P its distances to the four vertices of a tetrahedron ABCD being known


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