Page:Electromagnetic phenomena.djvu/21

 least squares, the coefficients k1, and k2 having been determined in such a way, that the values of η, calculated, for each observed ζ, from 's equations (34), agree as closely as may be with the observed values of η.

I have determined by the same condition, likewise using the method of least squares, the constants a and b in the formula

$$\eta^{2}=a\zeta^{2}+b\zeta^{4}$$

which may be deduced from my equations (36) and (37). Knowing a and b, I find β for each measurement by means of the relation

$$\beta=\sqrt{a}\frac{\zeta}{\eta}$$.

For two plates on which had measured the electric and magnetic deflexions, the results are as follows, the deflexions being given in centimeters.

I have not found time for calculating the other tables in 's paper. As they begin, like the table for Plate 15, with a rather large negative difference between the values of η which have been deduced from the observations and calculated by, we may expect a satisfactory agreement with my formulae.

§ 14. I take this opportunity for mentioning an experiment that