Page:Über die Konstitution des Elektrons.djvu/7

 The application of the method of least squares gives as values of the curve constants for the balanced curve:

The following table I contains a comparison of the observed and the calculated electric deflections, where the magnetic deflections are considered as independent variables. All numbers are denoted as centimeter, only the deviations are given in micron.

Table I

From this table it follows, that from the shape of the table alone, without consideration of the absolute values of the constants, it is hardly possible to make a decision in favor of one or the other theory. The average error of the single curve points amounts:

A final decision is only possible by comparison of the curve constants with the apparatus constants and the value of the cathode ray from $$\tfrac{\epsilon}{\mu_{0}}$$.

There, the third of equations (8.) and (12.) gives, as it can easily be seen, the average between the values calculated from the first and second ones, which only deviate from each other as far as equation (9.) is not precisely satisfied.