58 REPORTS ON THE STATE OF SCIENCE. — 1919. 



=^(V5 + 1)(n/5 + V5 + 2) = ^V5(s/+S) + 1(v'-5+1) 



=(2 sin 54)3 sin 72 + 2 sin 54 



2sin 54=^(v/5 + l)= 1-61803 39888 



=al 0-20898 76403 



(2 sin 54)^=al 0-B1348 14604 



sin 72 =al 1-97820 63255 



(2 sin 54); sin 72 =al 0-29168 77859 



= 1-95713 69676 



Ci =1-06535 56397=al 0-02749 46127=D(36) 



c/ =2-20309 51722=al 0-34303 32570 



cl =1-17113 41680=al 0-06860 66514 = 0(18) 



C(18)D(36)=c,Co=-^(V5 + l) 



In Eegion III, c,=B(36), C2=-A(18), 

 i(c--W-V5 + l = ~2 sin 72 (sin 18) + 1 



Uc + l\= 2 sin 72- V (2 sin 18) 



c,5 + C25=-(2 sin 54)1 sin 72 + 2 sin 64= 0-33940 29785 



c^^-c^^=-smSQ-^^^^ = 0-34485 11165 



sm 45 



c,5= 0-34212 70475 =al i-53418 74095 

 c,=al 1-90683 74819 = 0-80693 30099=B(36) 

 . -02^= 0-00272 40690 =al 3-43521 81065 



-C2=al i-48704 36213 = 0-30673 80262=A(18) 

 A(18)B(36)= -CiC2=KV6-l). 



