Page:Scientific Memoirs, Vol. 1 (1837).djvu/627

Rh {| align=center
 * rowspan=3|Number of the Convolutions. ||  colspan=4|DEVIATIONS.||   rowspan=3|Individual Means. ||   rowspan=3|Complete Means or $$\alpha$$.||  rowspan=3| $$\lambda$$ ||  rowspan=3| $$L+ l + \lambda$$
 * colspan=2|Side A of Spiral to the north pole. || colspan=2| Side B of Spiral to the north pole.
 * | End a of Index. || | End b of Index. ||  | End a of Index. ||  | End b of Index.
 * rowspan=2| 5 || | 18.5 ||  | 18.5 ||  | 19.8 ||  | 20.5 ||  | 19.33 ||   rowspan=2|19.40 ||   rowspan=2|17 ||  rowspan=2|690.25
 * 18.6 || | 18.8 ||  | 20.2 ||  | 20.3 ||  | 19.47
 * rowspan=2|10|| | 37.3 ||  | 37.6 ||  | 39.6 ||  | 39.3 ||  | 38.45 ||   rowspan=2|38.41 ||   rowspan=2|28 ||   rowspan=2|701.25
 * 37.3 || | 37.5 ||  | 39.4 ||  | 39.3 ||  | 38.37
 * rowspan=2|15|| | 57.8 ||  | 58.7 ||  | 58.6 ||  | 58.2 ||  | 58.32 ||   rowspan=2|58.15 ||   rowspan=2|39 ||  rowspan=2|712.25
 * 57.4 || | 58.2 ||  | 58.6 ||  | 57.6 ||  | 57.95
 * rowspan=2|20 || | 81.4 ||  | 82.3 ||  | 80.7 ||  | 79.8 ||  | 81.05 ||   rowspan=2|80.91 ||   rowspan=2|50 ||   rowspan=2|723.25
 * 81.3 || | 82.3 ||  | 79.7 ||  | 79.8 ||  | 80.77
 * rowspan=2|25 || | 110.0 ||  | 112.7 ||  | 103.1 ||  | 101.9 ||  | 106.67 ||   rowspan=2|106.67 ||   rowspan=2|61 ||   rowspan=2|734.25
 * 110.0 || | 112.8 ||  | 103.7 ||  | 102.2 ||  | 106.67
 * }
 * rowspan=2|15|| | 57.8 ||  | 58.7 ||  | 58.6 ||  | 58.2 ||  | 58.32 ||   rowspan=2|58.15 ||   rowspan=2|39 ||  rowspan=2|712.25
 * 57.4 || | 58.2 ||  | 58.6 ||  | 57.6 ||  | 57.95
 * rowspan=2|20 || | 81.4 ||  | 82.3 ||  | 80.7 ||  | 79.8 ||  | 81.05 ||   rowspan=2|80.91 ||   rowspan=2|50 ||   rowspan=2|723.25
 * 81.3 || | 82.3 ||  | 79.7 ||  | 79.8 ||  | 80.77
 * rowspan=2|25 || | 110.0 ||  | 112.7 ||  | 103.1 ||  | 101.9 ||  | 106.67 ||   rowspan=2|106.67 ||   rowspan=2|61 ||   rowspan=2|734.25
 * 110.0 || | 112.8 ||  | 103.7 ||  | 102.2 ||  | 106.67
 * }
 * 81.3 || | 82.3 ||  | 79.7 ||  | 79.8 ||  | 80.77
 * rowspan=2|25 || | 110.0 ||  | 112.7 ||  | 103.1 ||  | 101.9 ||  | 106.67 ||   rowspan=2|106.67 ||   rowspan=2|61 ||   rowspan=2|734.25
 * 110.0 || | 112.8 ||  | 103.7 ||  | 102.2 ||  | 106.67
 * }
 * 110.0 || | 112.8 ||  | 103.7 ||  | 102.2 ||  | 106.67
 * }

If we now apply the method of the least squares to this table, as we did to the first, we obtain and with this value we obtain from formula (B.) the following deviations:

In this place also the calculation coincides well with the observation; as I expected however to attain this coincidence still more completely, if I allowed the length of the conductors to remain the same for all the experiments, I made a second series of experiments similar to the above with another multiplier, where $$\lambda,\, \lambda'$$, &c., remained always equal to one another; this series has also been performed with more care than the others above-mentioned, since each of the numbers contained in the following table is the mean deduced from three observations, in which mean however I retained only one decimal place. The columns designated by 1, 2, 3, 4 are intended for the same purpose as the four columns in the former tables.