14 Mr. W. Galbraith on the Expejiments 



12. 39-1425U-2-0-6246030t/ = (?,,, 



13. 39- 14-6C0-2r_0 6455596 j/ = ^,3 



14. 39-15549— 2 — 0-6869391 j/=^H 



15. 39-16159— ;:-0-71420033^ = f,j 



16. 39-17162— ^ — 0-7613587 j/ = e,6 



17. 39-19840— 2— 0-887S916j/ = 6'„ 



18. 39-20700— z — 0-931 1390 j/=c,8 



Taking the sums of the respective quantities, and dividing by 

 their number, ^ := 39.1193006-0-5148869 j/ (2) 



Where Kater and Biot observed at the same place, we have 

 taken tlie mean between then), reduced to the same tempera- 

 ture, namely 62° of Fahrenheit. The other experiments 

 combined with them ai'e, from the data of the observers, to- 

 gether with the known expansion of the brass of which the 

 pendulum was constructed, corrected in like manner. 



Again, 1. 0-0034493 — 0-0000884 ;: — 0-0000000 .?/ 



2. 1-9954025 — 0-0511335 s — 0-0026146;y 



3. 5-2627314 — 0-1347996 z-0-0\Sl1lo'y 



4. 5-9233828 — 0-1517026 z — 0-02301 'M y 



5. 15-2600913 — 0-3903417 2-0-1523666V 



6. 19-2920719 — 0-4932370 z — 0-2432826 3^ 



7. 19-4476573 — 0-4972172 ;:- 0-24 72249 jy 



8. 20-0915076 — 0-51361 17 ~ — 0-2637970j/ 



9. 22-1773831 —0-5667720 2 — 0-3212304 j/ 

 10. 23-6615693 — 0-6045723 2 — 0-3655077 y 



. 11. 23-9844238 — 0-6127966 2—0-3755198^5/ 



12. 24-4485230 — 0-6246030 2 — 0-3901290 '^ 



13. 25-2710761 —O-Q'^SBSBG 2 — 0-4167473 j/ 



14. 26-8974396 — 0-6869392 2—0-4718856 3/ 



15. 27-9692193- 0-7142003 2 — 0-5100820J/ 



16. 29-8236502 — 0-7613587 2— 0-5796676 j/ 



17. 34-8039301-0-8878916 2 — 0-78835153/ 



18. 36-5071688-0-9311390 2-0-8670202 y 



Dividing the respective sums by their number 2 = 39-1478290 



— 0-6513417j/ (3). Equating'(2) and (3). 

 3/=0-209068, and 2=39'"-011654 = 3f'-2509712; whence 



— = 0-005359. 



, 20919576 



1856062635 x 3-2509712 +%;- 



— --, or 



104597880 

 e - 1 .2109851496 ~ 0-005359 = 0-0086374 - 0-005359 = 



0-0032784 = rj^. (4) 



And / =39-011654 + 0-209068 sin" ^ (5) 



Sub- 



