Page:Ueber das Doppler'sche Princip.djvu/2

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If we substitute in respectively,


and describe the resulting functions, respectively, with (U), (V), (W), then by u = (U), v = (V), w = (W) it is possible to comply with (1). [AU 1]

For example, we obtain for the first of them:

and this is fulfilled, because it indeed has to be:

if there exist the following new equations:

  1. Due to the same order of all parts of equations (1), the right-hand sides of the substitution formulas (2) can be multiplied by a common factor, without changing the results.