Forest Mensuration 3 



PARAGRAPH V. 



APOLLONIAN PARABOLOID. 



The volume v of the Apollonian paraboloid is equal to height multi- 

 plied by y* sectional area, or equal to ^ of a cylinder having the same 

 height and the same basal area. 



h. s 

 vol. apol. = 



The volume t of the truncated Apollonian paraboloid may be ascer- 

 tained as: 



A. Height of trunk times arithmetical mean of top sectional area 

 and base sectional area. 



B. Height of trunk times sectional area in the midst of the trunk, 

 t. apol. = h.si 



PARAGRAPH VI. 



CONE. 



The volume of the ordinary cone is equal to height of cone times 1/3 

 sectional area at the base. 



h.s 



vol. cone = 



3 



The volume t of the truncated cone is equal to 1/3 height of trunk 

 times sum total of top sectional area si, basal sectional area 82, and V si 82 



h ., 



t. cone = ( Bl + S 2 + V s t s 2 ) 



PARAGRAPH VII. 

 NEILL'S PARABOLOID. 



The volume of the Neilloid equals J4 of i* 3 height times sectional area 

 at the base. 



vol. neil. = 



4 



The volume of the truncated neilloid t equals 



t. neil. = ( Sl + s 2 4 ^i^ C^s7+ f s^] j 



wherein h denotes the height of the trunk; Sj and S 2 the top sectional 

 area and the basal sectional area of the trunk. 



