458 
Proceedings of the Royat Society 
carnivora, was described in 1839 by A. W. Otto, and in 1840 and 
1841 by Robert Knox, and many examples of which have since 
that time been recorded by other anatomists. From the tip of 
this process a band of fascia passed down to the inner condyle, so 
as to complete the boundary of the foramen, through which the 
median nerve and the ulnar artery passed ; for in both upper arms 
a high division of the brachial artery had taken place ; and whilst 
the radial branch closely followed the inner border of the biceps, 
the ulnar was deflected from its course, and passed, along with the 
median nerve, behind the supra- condyloid process. 
2. On the Motion of a Pendulum affected by the Rotation 
of the Earth and other Disturbing Causes. By Professor 
Tait. 
(Abstract.) 
1. Let a be the vector (from the earth’s centre) of the point of 
suspension, A its inclination to the plane of the equator, a the 
earth’s radius drawn to that point ; and let the unit vectors i, /, k 
be fixed in space, so that i is parallel to the earth’s axis of rotation ; 
then, if w be the angular velocity of that rotation 
a = 
a [V sin A 4- (j cos wt + k sin wt ) cos A J 
• • (i). 
This gives 
a = aw( - j sin wt + k cos wt) cos A 
— w Via < . . 
. . (2). 
Similarly 
a = wYia = — <jd 2 (a - ai sin A) . 
• • (3). 
2. Let p be the vector of the bob m referred to the point of sus- 
pension, R the tension of the string, then if a x be the direction of 
pure gravity 
m(ci + p) = — mg Ucq — RUp 
• • (4), 
which may be written 
Yp'd + V pp = qr^ Voqp .... 
• • (5). 
To this must be added, since r (the length of the string) is con- 
stant, 
Tp = r . . 
and the equations ofjnotion are complete. 
• ( 6 ), 
