638 GAUSS’S OBSERVATIONS OF THE 
for observations in the plane normal to the magnetic direction, — 
B = 1:2844y, or B = 13014 y. 
The relations between the separate parts of the observation 
which have been under consideration hitherto, are not, itis true, 
very material, in as far as concerns only the deduction of the 
magnetic inclination from the whole; but they are not unim- 
portant for the purpose of proving and confirming the result, 
inasmuch as a just confidence in the entire observation requires 
first a clear view of the satisfactory accordance of the several 
parts. 
14, 
The result of the observations is now brought back to the 
eight values of L, which may be stated as the inclinations of the 
straight line joining the north and south poles of the needle, in 
reference to the horizontal radius which is on the right side of 
the marked face of the needle in the position of equilibrium, the 
points of the axles being assumed to rest on a horizontal sur- 
face ; or, what is obviously the same in statical respects, the 
needle being assumed to be capable of revolving only around 
the axis corresponding to the axle points. In other words, the 
values of L are the values given in Article 11, under the heading 
“ Marked face of Needle,” corrected, i. e. freed from the influ- 
ence of the error of the zero point, and of the non-horizontality 
of the supporting planes. 
Values of L. 
Azimuth circle.| B. North pole. A. North pole. 
4 o ‘ Ah fo} / “i 
50 5 67° 96 11) 67 58. 1 
180 5 89 50 17. | 90 9 44 
270 5 |112 16 14 | 112 24 2% 
0 5 89 53 20 | 90 ll 52 
For the purpose of expressing the connection of the values of 
L with the elements on which it depends in an equation, I em- 
ploy the following designations :— 
V signifies the position of the azimuthal circle for the ob- 
servation. 
V° the position of the azimuthal circle, in which the vertical 
circle is in the magnetic meridian and the graduated side is 
turned towards the east. 
i the magnetic inclination, 
