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1 
MAGNETIC INCLINATION AT GOTTINGEN. 663 
derive from the principles of the calculus of probabilities the 
following equation :— 
1339!'5 = 24 m? + a + 3m!" 
31 
For m? we found above the value 1829°25, or at least this 
number may be regarded as a sufficient approximation ; for the 
seven other observations, in the absence of any more certain 
standard, we may use as a basis the number of positions from 
whence the results are derived, thus 
+ M?, 
i 2 U2 2. 8 2 
m*=2m*, m* = 2m, 
whence we have 
184 
Dt 2) es 2 eee ak 9Q- ied 
M? = 7339°5 — == .1829°25 = 5168 
and M = 71!-9, 
52. 
I had made in the preceding year, with the same instrument 
and in the same place, a series of inclination observations, of which 
I subjoin only the final results. 
1841. Sept. 22 at byt 167s Zohar 
24 yee Fe, 40 53 
27 Pte BONG 46 41 
Oct. 2 qi gel 2g 42 57 
remacyogeo cs furs I beg 42 14 
10 Urea 42 40 
12 } gir oe 43 15 
Bee net AY 44 9 
20 pare Maen 42 5 
22 phe ena a: 42 52 
been. Oct..0:8 Mo .maged « -67° 49h agit 
The first eight observations were made in the same manner as 
those of the present year, by observing on each day two needles 
(Nos. 1 and 2) without changing their poles between the obser- 
vations ; the two last observations were made in the usual manner. 
The second observation made on October 20, was with needle 4, 
that of the 22nd of October was with needle 3. The time was 
on the 27th of September and 10th of October, in the afternoon, 
between 3 and 5 o’clock ; on all other occasions it was in the 
forenoon. Each of these ten inclinations was deduced from six- 
teen positions, and even on this account alone they would have 
! 
