BAROMETRICAL MKASUKEMENT OK HEIGHTS. 35J^ 



Example of Calculation hy the complete Formula of Laplace and hy the Tables 



Height of the Balloon of Gay-Lussac. 

 The observation gave : — 



mm. o o 



Balloon h' = 328.80 T' = — 9.5 t' = — 9.5 



Paris A = 765.68 T = + 30.8 t = -(- 30.8 



T — T' = + 40.3 {t-\-t') = -{-2l.3et2{t-\-t')=A2°.G 

 With these data the formula of Laplace gives the following calculation : — 

 Log. h'. = 328.80 = 2.5169318 



Log. (T — T') = + 40.3 = 1.6053050 



Los. dilat. coefficient = 0.0001614 = 6.2079035 



Corr. a = -(- 2.14 log. = 0.3301403 



h' = 328.80 



H = 330.94 log. = 2.5197480 



log. h = 765.68 = 2.8840473 



(Log. h — Log. H) := Difference of Log. = 0.3642993 



Log. of (Log. h — log. H) =- 9.5614583 



Log. general coefficient = 18336 = 4.2633046 



Log. ( (4) 18336 ) = (A + a) == 3.8247629 



Corresponding number = 6679.79 = (A -\- a) 

 Log. COS. 2 L = 97° 40' = — 9.1251872 



Log. constant = 0.0028371 = -f- 7.4528746 



Log. (A + a) == 6679.79. = -f- 3.8247629 



Log. ( (0.0028371. Cos. 2 L) X (A -f a) ) = — 0.4028247 



Milli. 



Altitude of balloon = 7035.44 bv the formula of Laplace. 



