Astronomical and Nautical Collections. 137 



C082y==co9d'-^2?it££l^(2 8in«i.I)--2sm«i.df;) that is, 

 cosMcosS 2 2 



cos D = cos d — sm- (D+a) sm -{D-^a)\ whence 



cos M cos S 2 2 



1 T\' J/ I 2 cos 3f' cos S' . 1 /n I ^\ • 1/T\ »\ 



also vers i) = versa + sm- (D + a) sm -(D— a;. 



cos ilf cos 8 2 2 



It may be observed, that Requisite Tables 9 — 11, answer loga- 

 rithmically to 221 S-l — ; and the verse sines, and the cosines 



cos Mcos S 



can be very readily taken out of the tables in the Appendix. Also 

 no ambiguity can arise from the application of the rule before given : 

 for all the arcs concerned in the operation will always be (each of 

 them) less than a quadrant, except the resulting true distance, which 

 cannot cause any ambiguity ; and the verse sines are given in the 

 Appendix, to 126"*. 



Example. 



(Example 2nd, p. 39, Requisite Tables,) 



Reserved log. from Tables 9 and 10 .... 9.995307 



Log. sin 62° 45' 56" = Jsumapp.dis. anddiff. app. alts. 9.948971 



Log. sin 40 43 31 = J diff. ditto ditto 9.814536 



Log. 2 0.301030 



Nat. num. corres. .... 1.147741 0.059844 

 Nat. vers. 22° 48' 16" = diff. true alts. 0.078167 



Nat. vers. 103 3 23 = true distance 1.225908 



De V Influence des Agens Physiques sur la Vie. Par W. F. 

 Edwards, D.M., Membre associe de rAcad^mie royale de 

 Medicine de Paris, Membre de la Soci^te Philomatique, 

 de la Societe de Medicine de Dublin, &c. 



The researches of science among the phenomena of the phy- 

 sical world have long obtained a high degree of estimation 

 and interest in general society ; but it is of late years only 

 that their application to living functions has attracted much 

 of the attention of the literary world. 



The laws which govern the action of animal organs (the 

 proper department of Physiology) have usually been investi- 

 gated by the medical profession, to which they especially 



