PROFESSOR W. M. HICKS OH HORTEX MOTION. 
^ 93 
The first parameter is = 5‘7637 = 330° 14'. 
The ecjiiatorial axis has a radius = '5130a, 
M = '0985nifi 
E = I-6979Eo 
a = 2T020/r. 
Angular pitch of stream lines at surface = 330° 14'. 
,, ,, ,, at axis = 334° 58'. 
,, ,, vortex lines at axis = 267°. 
The forms of the current sheets (i/;) are drawn in fig. 2, Plate 2. The projections 
of the stream lines in fig. 3, Plate 2. These latter were determined by the graphical 
method described above. 
The second X., parameter is 
= 9-0950 - 377 - 18° 53' 40". 
The equatorial axes are given by 
X 2 X = 2-6616 and 6-2718, 
or ?' = -2926a and -6896a. 
Radius of internal nucleus = -4694a, 
M=- -1459m/x 
E = 3-727Eo 
p.1 = 1 -9403/x 
fj.o ~ — -9403jU, 
H'i/H'z — — 2-063 
Ml = •08904mi/xi 
M 2 = -1890w2p,2 
= 1-1747)^1 
i>2 = 3 - 6415 /^ 2 - 
Total angular pitch of stream lines outside =521° 6'. 
,, ,, ,, inside nucleus = 244° 37'. 
,, ,, ,, outer shell = 276° 29'. 
Angular pitch of stream lines at 1st axis = 284° 21'. 
„ ,, ,, 2nd axis = 320° 9'. 
., ,, vortex lines at 1st axis = 308° 48'. 
,, ,, ,, 2nd axis = 422° 11'. 
The Xi aggregates. Here 
U = :^^ 
— sin X. 
— sin X 
_ A 
3a S^X — sin X ^ Sf X — sin X 
a 
0» 
M 
— sin X 
E = 177/x“a 
X (Six — sin X) ’ 
„ sin- X 
(S-iX — sin 
_ 7.0 
— 9 
sin^ X 
(Sf X — sin X) 
-2E 
0 ) 
