Editing Distance geometry (section)

=== First problem: [[hyperbolic navigation]] ===
Consider three ground radio stations A, B, C, whose locations are known. A radio receiver is at an unknown location. The times it takes for a radio signal to travel from the stations to the receiver, <math> t_A,t_B,t_C </math>, are unknown, but the time differences, <math>t_A-t_B </math> and <math>t_A-t_C </math>, are known. From them, one knows the distance differences <math>c(t_A-t_B) </math> and <math>c(t_A-t_C) </math>, from which the position of the receiver can be found.