- 706

- 8

*would*be linear since it has to graph straight lines on to straight lines (since the laws of mechanics should be the same in both reference frames) but how can I go from that fact to

x' = Ax + Bt

t' = Dx + Et

where A,B,D and E are constants without any doubt? Is it mathematically possible for a transformation that requires any straight line in one coordinate system to become a straight line in the other coordinate system to assume some other, non-linear form?