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. ' » 



Bowditch on the Ohlateness of the Eartlu 



49 



io+i°.ctli+h. COS. S(?-l ^)]sin4'f4°.aft.taii.vP^cos.3(f 'C) (16) 

 If we had retained the term u^^ = h. cos. 2(f + f}, which gives 







4 h, cos S (9 + ^) it would produce the cor- 



rection 



i'^.cch [i 



4 



cos ip 



|. cos.a(f + €) 



and since 



t 



COS.i/'^ 



1 + tan. -l^ this raay he put under the form 



i°.ah. I 



3 



4 tan. vl/^^. cos. ;3(9+f) 



which being added to the expression 



(16) we get 



the corrected 



value of the length of this degree equal to 



l** -f i°, «. [1-1- A. cos. S (f + €:) I . sin. 4'' 



3°. a/j.C08. S(f +C) 



K. 



i 



% 



Mo. Bot. Gar'len, 



16S7. 



