8& 



between the values deduced from an uniform temperature 

 and an uniform density. 



(1) For an uniform temperature. The density on this hy^ 

 pothesis is as the compressing force, and we have the well 

 known equation 



( — -1 ) -f 



^ = (^) c ^ where c = 2,7 12S &c. 



or f = (f) c 



/_ as 



as 



^ ssc= — — sc — -re + «» trom s = o 

 Therefore from s = o to s == i and from g = {§) io § = o 



—a 



^_j2illi«i^=Hllll^- il having taken c ~= o on 



»/ 4co«. »8 '2 COS.' 9 a* =» 



account of jts extreme smallness, it being = — __ — 



I \ oOO 



V 2,7128^ 



whence the term in question produces a quantity in seconds= 



S I - {m—\)tan. ^9 



(I " CO*. * 9 MM. 1 



// 



Taking tf = 80° 45', — and m as before 



this quantity = 2",60 

 Taking fi = 74' 



It a= 0", 16 a quantity not requiring notice. 



