64 REPORTS ON THE STATE OF SCIENCE. — 1919. 



3Pi =0-4131971, P, =01377324 



2/=01170889 

 P2=P,-a; =0-0365044 



P,=P,-2/ =0-0206485 



Considering the uncertainty involved in working with only 7 figure 

 logarithms, the agreement is quite close with the numbers calculated by 

 Colonel Hippisley from the series given in Table V. 



Seventeen Section values are given, too, in Table VI, to serve for future 

 reference. 



These numerical verifications of Seven Section, as well as of Nine 

 Section, in § 7 were carried out by Mr. Alfred Lodge. He has shown also 

 that, for the Seven Section, 



C(2r) C(4r) C(6r)=(T2+9T + 17)-f-12(2T),. 



which serves therefore as a check on the calculations. Thus 



T2 + 9T + 17=17-8882328=al 1-2513519 



12(2)?= =al 1-1544387 



C(2r) C(4r) C(6r) =al 0-0969132. 



And in the calculations above 



C(2r) =al 0-0620473 



C(4r) =al 0-0308075 



C(6r) =al 0-0040486 



C(2r) C(4r) C(6r) =al 0-0969133. 



