498 



Mr. Lubbock on the Heat of Vapours 

 Table showing the constitution of the Atmosphere. 



Height 



Pressure 



Temp. 



Density 



in miles. 



P> 



r. 



%• 





Inch. 



Fahr. 









30-00 



+50-0 



1-00000 



1 



24-61 



35-0 



•84611 



2 



2007 



19-5 



•71294 



3 



16-25 



+ 3-4 



•59798 



4 



1306 



-13-3 



•49903 



5 



10-41 



30-6 



•41403 



10 



2-81 



126-4 



•14499 



15 



•45 



240-6 



•03573 



22-35 





-448-0 







According to this system of constants, the ascent for depressing 

 Fahrenheit's thermometer 1° is about 352 feet. 



If log a (in sex. sec.) = 1*7669538 

 a 



F £7= 



:'t/-4- = -74514 

 i 



(i -m 



a* = -00028348 



9-5066765. 



H {fii?f} 



w 



{c su -2c 2u +c u y, 



See p. 473. 



= [9-5066765] £7 2 + [9-8077064] £73 _j_ [9-8254352] U* 

 + [9-6827677] £7 5 + [9-4289405] £7 6 + [9-0902531] £7? 

 + [8-6829116] U* + [8-2178251] U 9 + [7-7028036] £7'° 

 + [7-1436673] £7" + [6-5450488] U l * + [5-9104758] £7 is 

 + [5-2429802] £7^ + [4-5449962] £7 15 + [3-8186763] U™ + &c. 



F Xis found by changing U into X in the above series. Although 

 the development of co might be obtained by procuring the quan- 



d co d 2 co c d co d w 2 , , , 



titles -=-«, Ty2» & c -> * rom a~Tp hT^ 5 throu S n the expressions 



given in p. 492. I have preferred employing the series 



2i a X 

 dco dFX 



or 



a d 2 (FX) 2 

 d X + 2 2 d X 2 + 2 . 3 



or 



2T3T 2 ~d X* 



dl 3 



By involution from the expression for F X the following were ob- 

 tained : 



— (FZ) 2 = [7-3105250] X 4 + [7-9125849] X 5 + [8-2225672] X« 

 + [8-3653575] JS7 + [8-3901249] X 8 + [8-3259417] X 9 



* I have adjusted the value of a so that the mean refraction at 45° might exactly 

 agree with that of M. Bessel. 



