186 Transactions of the Boyal Society of South Africa. 
extent of about 40 per cent, of its mean value, the figures in the 4th line 
(2"'67 and 3"'57) are very nearly similarly variable. 
It will be seen that several of these inequalities exceed Professor 
Sampson's limit. 
Transvaal Observatory. 
November 21, 1910. 
P.S. — In this paper an attempt to use a logical mathematical notation 
has been introduced. Its chief point is that capital letters are reserved 
for functional symbols or operators and lower-case letters for symbols of 
quantity. The translation is exceedingly simple, viz. : — 
New Notation. 
Old Notation. 
S 
L 
L 
sm 
log to base 10, or log^^ 
log to natural base, or log^ 
D 
d 
da 
D 
da 
n 
radian in seconds of arc 
9 
The D (clarendon type), although easy and conspicuous in print, is 
difficult to write ; it might be written D, a note being added in MS. for 
print that D is to be printed in clarendon type. 
