Page:Scientific Memoirs, Vol. 2 (1841).djvu/224

 212 the theory of terrestrial magnetism, are used both here and in the formation of the table to be described in the sequel, just as they were given by calculation, without omitting decimals. To any one conversant with calculation it is superfluous to remark, that these fractional parts have in themselves no value, as we are still far from being able to eliminate with certainty even the integers. But it is important that the observations should be closely compared with one and the same definite system of elements; and, as by leaving out decimals nothing would be gained in point of convenience in computing, there was no reason for altering in any respect the elements given by calculation.

The expression for $$V$$, developed according to the above numbers, is as follows: for the sake of brevity $$e$$ stands for $$\cos u$$, and $$f$$ for $$\sin u$$.

We may here add the completely developed expressions for the three components of the magnetic force.