230 
Proceedings of the Royal Society 
23. The notation I have framed is of great use in showing the 
ambiguities of the common terms of relationship. Thus uncle may 
may mean any one of eight things, or a combination of these. For 
example — 
Uncle and Nephew. 
Uncle and Niece. 
1 
1 
( 1 
1 
s,— 
**4 
S 2 
3 
d 2 
1 
1 
1 
°4 
5 2 
( °"i — 
V V 4 
d 2 
1 
1 
( . 1 
1 
V 4 
1 ©* 
1 b 
3 h 
^2 
1 
1 
1 i 
1 
°"2 
' ffl S 4 
^2 
The relationships bracketed together generally coexist. 
24. To prove that 
Let 
then 
-8 always = 1 . 
A = bB, 
sA = sB. 
But that is morally, if not physiologically, impossible unless A = B 
Similarly 
-s mi. 
= l . 
Neither -a- nor -s can be equal to 1. 
Observation. 
25. To express that 
A is the brother of the brother of B. 
The expressions for brother are — 
1 1 
half-brother s- 
8 d 9 
S’ 
and full brother 
Hence brother of brother is denoted by 
1 1 1 
/ M i 
r i \ 
l 8 *l 
1 s d 
\ 1 \ I 
i 1 ( 
1 a - 1 
r « ; 
V or J ' 
(i) 
8- S - = 8~ 
s s s 
(Art. 24) 
1 1 
1 
a a 
( 2 ) 
