C O N 



Content of the \vhofe solid, formed by a revolution round the asymp- 

 tote, = JT ft* X ( | * a X .= \ 



V <J s 



CONDENSER. See Pwz^ condensing. 



CONDITION, Equations of. See Equation. 



CONE. Equation to the section of a right Cone. (Fmncceur.) 



Let the vertical angle of the cone = /3, the angle which the cutting- 

 plane makes with the side , and the distance of this plane from the 

 vertex c, then the equation to the section is 



COS.2 -J 



Cor. 1. If a, -f- /3 be less than 180, or the plane cut both sides of the 

 cone, the section is an ellipse. 



Cor. 2. Ifos,-\-{2 = ISO, or the plane be parallel to the side, the sec- 

 tion is a parabola. 



Cor. 3. If -{- /S be greater than 180<>, or the plane cut the opposite 

 cones, the section is an hyperbola. 



Cor. 4. The | major and | minor axes of the ellipse and hyperbola are 

 c sin. (3 c sin. /3 



2 sin. (+/3)' and " ' ' Vsin - * sin ( + 0. 



2 cos. sin. (a -}- /S) 



Cor. 5. The lat. rect. of the parabola = 4 c sin.2 ^-. 



Cor. 6. The parallel and subcontrary sections of an oblique cone are 

 circles. 



CONGELATION. See Heat. 



CONGELATION, point of perpetual. See Atmosphere. 



CONIC SECTIONS, properties of. 



PARABOLA. \ 



Latus rectum or L = 4 S A. 



T N = 2 A N. 



S Y2 S P. S A ; i. e. p V~o~7, 



65 



