D i v 



... x arc 8 i Q - - 



_ i 



x dx 



H circ. seg. to diara a and vcr. sin. x. 



, 1. 2. 3 ....... \ ., 



r --- ) if n be an integer and 



k n / 

 positive and ^ rr h. 1. jr. 



DIP o/?7;e Horizon. See Horizon. 

 DIP o/Ae Magnetic Needle. See Variation. 

 DISCHARGE of Fluids. See Fluids discharge of. 

 DISCOUNT. See Interest. 

 DISCOVERIES, dates of. See Chronology. 

 DIVING BELL. (Bland.) 



Having given the form of a Diving Bell, and the depth it has descend- 

 ed, to determine how high the water will have risen. 



Let x = abscissa, measured from the vertex, occupied by the air, A = 

 depth of the vertex below the surface of the water ; M and m the capa- 

 cities of the whole bell and of that part occupied by the air, a th* alti- 

 tude of the barometer ; then 



14 o: Ha-f- A-f- x :; m : M. 



from which proportion * may be found. 

 8] 



