IV EOYAL SOCIETY OF CANADA. 



other. The voting pa])ers enable us to settle this. For, as between B and C, a votes for C, fi for B, 

 Y declines to vote, thinking them equally deserving, ô votes for C, and so on. The vote therefore 

 stands thus : — 



(1) For B as against C, — ft, Ç, ?/, g, n 5 



" C " B,— a, Ô, e, H, i, n, v, o, p, a 10 



Hence C is preferred to B, and B's name may therefore be dropped for the first vacancy. Next 

 take the vote as between C and D : 



(2) For C as against D, — a, y, 6, h, A, v, p 7 



"D " C,—/3,s,7f,0,i,S,o,7r,ff 9 



Hence D is preferred to C, and C's name may be dropped. Tiy now D as against B. 



(3) For D as against B, — a, ft, y, s, ?/, m, /j, v, S, n, ff 11 



« B " T>,—â, 6, o, p 4 



Hence D is preferred to B. Try D as against F. 



(4) For D as against F, — a, ft, y, e, Ç, i], 6, n, \, v, B,, n, p, ff 14 



"P " D,—i, /.I, o 3 



Hence D is also preferred to F; and, having been thus shown to be preferred to all his competitors, 

 he is obviously elected to the first vacancy. 



For the second vacancy the candidates are B, C, B, F. By vote (1) above, C is preferred to B. 

 Tiy him, therefore, as against E. 



(5) For C as against E, — a, y, ô, s, ji, X, f.i, v, £, a 10 



"E " G,—ft,t/,H,i,o 5 



Hence C is preferred to B. Take the vote as between him and P. 



(6) For C as against F, — a, y, â, s, Ç, ff, h, X, v, B,, n, p, a 13 



"F " Q,-ft, 1,1.1, o 4 



Hence C is preferred to F. C, therefore, is elected to the second vacancy. 



If there be a third vacancy, B, E, F are now the candidates for it. As between B and B the 

 vote stands as follows : 



(7) For B as against E, — a, ft, y, S, Q, k, A, /<, v, g, n 11 



"B " B,—ff, I, o, p, ff 5 



Hence B is prefen-ed to B. As between B and F the vote is as follows : 



(8) For B as against P, — a, ft, y, 6, £, Ç, i), ff, u. A, v, S, n, p, ff 15 



"F « B,— z, //, o 3 



Hence B is preferred to F ; and B is therefore elected to the third vacancy. 



" Were there a fourth vacancy, the vote would now be taken as between B and F, when it would 

 be found that B is preferred to F. 



" It so happens that no tie has occurred in the above votings. Had ff ranked C first and D second, 

 instead of D first and C second, C and 1> would have received equal numbers of votes in (2), and the 

 Section would thus have been equally divided as to their merits, though undoubtedly^ preferring them 

 to the others. In that case, were there but one vacancy, no election would have been eifected ; but 

 obviously no accurate method could ett'ect an election in such a case, and some such device as giving 

 the Chairman of Council a casting vote must be I'esorted to if delay is to be avoided. Were there, 

 however, two or more vacancies, both C and D would, of course, be elected. 



" It will therefore, I think, be obvious that if voters be asked to give, in the voting papers, the 

 information specified above, an election may always be effected when the Section is not equally 

 divided. 



"I would therefore suggest that Fellows should take into consideration the adoption of some such 

 modification of Rule 6 as the following: — 



" For the sentences of Eule 6 beginning : ' When the vacancy occm-s the Honorary Secretary,' 

 and ending: 'or the matter be referred back to the Section concerned,' substitute the following: — 



