Triangulation in three dimensions: Difference between revisions

Revision as of 00:49, 2 May 2011

Revision as of 01:22, 2 May 2011

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== Discussion ==

While the same result can be obtained using only a few of these many equations, all possibilities are treated here. If the three spheres do not intersect, the least squares solution finds the axis of symmetry of the three spheres, or the closest solution. If the three spheres do intersect, the solution canrequires beonly founda fromfew anyof 3these lines from H and their corresponding 3 lines from '''b'''equations.<br />

== See also ==

* [[Sphere]]

* [[Radii]]

* [[Coordinates]]

* [[Apex]]

* [[Law of cosines]]

* [[Unit normal]]

* [[Plane]]

* [[Spreadsheet]]

* [[Least squares]]

* [[Trilateration]]

* [[GPS]]

* [[Dot product]]

* [[Cross product]]

* [[Magnitude]]

* [[Vector analysis]]

* [[Linear algebra]]

* [[Matrix algebra]]

== References ==

<!--- See [[Wikipedia:Footnotes]] on how to create references using <ref></ref> tags which will then appear here automatically -->

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<!--- Categories --->

[[Category:trilateration,Vector GPSanalysis]]

[[Category:Linear algebra]]

[[Category:Trigonometry]]

== External links ==

* [http://jons-math.bravehost.com/triangulation/triangulation00.xls Example of a spreadsheet that calculates solutions to this problem]