9 6 



Mr. Heluns's Second Appendix to the improved 



1-38630 = P 

 \cc 



111 yr, 



-rCC 2-5561 



360826 

 3< 



0*00406 = — Ice 



^•g6g — o 1 00009 = — mc* 



l'3o2 1,5 == the sum of these three teir 



2"534<79 = s 



2 \5°949 = a 



b 



T 



0-00830 



0-00008 = — 



08085,357 



7T (a + 6^ °7334>4 2 7 



Diffi of these two log 8 . 00750,930 



A 



a 



6-4340! — the sum of all the terms 



1-18874,= A 



0-6880,241 

 0-1828,913 



Sum of these two log 5 . 0-8709,154, 7.42874 = A< 



°'795hH6 

 0-1411,141 



6-24000 = Aa 



A 



T (Aa — fi) 0-9362,987 8-63572 = B. 



14. We have now the values sought, viz. A = 4-8756, and 

 B = 8.6357 ; which values, computed by the new formula, 

 agree with those which were given in the first Appendix, 

 which is one proof of the accuracy of the new forms to which 

 the theorems are brought. And, that the calculations of these 

 numbers are considerably facilitated and abridged by the use of 



cc 



H. L. -— - 



3< 4 



instead of H. L. 1 + ^- ee \ a nd by the 



