Dr. Macfarlane's Analysis of Relationships. 443 



the Conqueror. For our present purpose, the symbol s may 

 be used to denote m c and d to denote c. 



Queen Victoria = lds^) 3 G-eorge I. ; 



that is, Queen Victoria is the only daughter of the fourth son 

 of the first son of the first son of the first son of George the 

 First. 



G-eorge I. = s^ld James I. 



• f ldst 1 <h (Henry VII. + Elizabeth of 

 JameS L = ls Uidf York)/ 



Henry VII. = sids\ Edward III. 

 Elizabeth of York = ^i s i s {^/^ 5 } Edward III. 

 Edward III. =(s l )%s 1 ids 4: William the Conqueror. 

 .'. Queen Victoria = 



ichMAdis -f l'*i I d, J '"' } .,,. 1 W* William 



tssHPaJi 



If we wish to express the general nature of this relationship, 

 we have 



Queen Victoria = c 25 . c 27 William I. ; 



that is, Queen Victoria is a descendant of the fourth degree 

 and twenty-fifth order, and also a descendant of the second 

 degree and twenty-seventh order of William the First. This 

 example indicates that the notation of this analysis may prove 

 useful in condensing and rendering more exact the informa- 

 tion supplied in Peerages. 



(2) Given that Stephen was a grandson of William I., and 

 Henry II. a greatgrandson of William I., what follows as to 

 the relationship of Henry to Stephen ? 



S= c 2 W H— r 3 W 



• H— r- 3 c~ 2 S- 



which can reduce to c 2_1 S and cS. Hence Henry was either 

 a son of a first cousin of Stephen, or a nephew of Stephen, or 

 a son of Stephen. 



(3) " Sister or brother have I none ; 



But that man's father was my father's son." 



Let A denote the speaker and X the person referred to. 



