34 STATE BOARD OF FORESTRY. 



Vermont : 



NOTE: This rule gives the solid contents in board feet of the largest square timber 

 contained in a log D" in diameter inside bark at small end, and when divided by 12, 

 becomes the formula for the Inscribed Square Rule, which actually gives the cubic 

 contents of the largest square timber that can be sawed from a log of known length 

 and diameter. 



Stillwell: (Original values erratic) 



7t D 2 



Ake: 



(1 .376) - -L = B.M. 

 4X 12 



Square of Two-Thirds: 



NOTE: This formula, when divided by 12, is supposed to give, but does not give, 

 the number of cubic feet of square timber that can be sawed from a log D" in 

 diameter at middle point inside bark. After the division by 12 is made, it is called 

 the Two-Thirds Rule. 



Orange Eiver: 



4X 12 

 Cumberland Eiver : 



It is obvious that the Constantine rule has no allowance for either 

 slabs or sawdust, and that all log rules which can be expressed in this 

 form have a total waste allowance which is directly proportional to the 

 total volume of the log, (taper not taken into consideration). The two 

 extremes are the Constantine and the Cumberland River. The former 

 with no allowance for waste whatever and the latter with an allowance 

 of 54.8%. 



There can not exist for different sized logs a constant ratio between 

 volume sawed out at mill and volume in board feet as shown by a log 

 rule of the above form. The principle is incorrect. 



(1 c) L = B.M. can be represented diagramatically by 

 4 X 1^ 



drawing a circle diameter D and then a sector of that circle with angle 

 at center equal to c X 360. The area of the sector will represent the 

 total waste allowance and the remaining area the lumber product. 



