oO 
bo 
ju 
AND INSTRUMENTS AT MUNICH, 
7°65790 
7°65785 
7°65770 
7°65767 
In a more exact calculation of the vibrations it would be 
needful to take into account the mass of air which vibrates with 
the needle. 
Taking the mean, the log. of the moment of inertia may be 
called = 7°65778. 
The single determinations form, as may be seen, a decreasing 
‘series, the reason of which is doubtless to be ascribed to a 
change of the force of torsion of the thread. However, the degree 
of uncertainty in the final result arising from this cause is so 
small that I have not thought it necessary to attempt to re- 
| move it. 
__c. Determination of the Function f (e).—The measurements 
_ made for this purpose are as follows, a several series having 
been reduced to the same intensity and the same temperature. 
4 
= 
sti 
7 Distance, October 27, Ocvober 29, November 26, | November 30, 
' at 13°, at9°. at 9°. at 2°7. at 4° 
B mm Ores 9 jp faunal ft C0 dpm dani 7 Or if 1h 
e =277:331 @ =37 32 14] 37 23 17 36 49 15 36 43 42 
e! =333°387 | o’ =20 36 57 | 20 31 19 20 16 26 20 13 33 
=388°950 | o” =12 48 44 12 45 26 12 35 47 12 34 2 
e/—444-513 | o/”= 8 dl 44 8 30 17 8 23 37 8 22 33 
In the series of the 29th of October the last angle seems to 
contain an erroneous reading; it appears safest to leave this 
_ series out of the account for the present. The remaining series, 
_ treated according to the method of least squares, give at 13° 
Reaumur, 
4 Oct. 27, log (e): = 7:02795 
a Mov.267 teed = 7202771 
an Nov. 30 ... = 7702818 
“the mean, with a temperature ¢, will give 
log f (e) = 7:02795 + 0:00003 (¢ — 13°). 
_ d, Measurements of Intensity.—If several measurements of 
intensity are to be made with the same apparatus, the calcula- 
tion may be facilitated by taking the result for determinate 
values of 9, T, ¢, and determining the corrections corresponding 
to the differences occurring in the measurement. Assuming the 
elements spoken of above ¢ = 36° 50', T = 4"-33, and tip 
- account the force of torsion of the thread by which the mag- 
2m 2 
