44 STATE BOARD OF FORESTRY. 



feet of trees of different diameters breasthigh and merchantable lengths 

 can be transformed to a table based upon the Vermont rule by adding 

 twice the average merchantable length to each of the values shown in 

 the table, and then dividing the values thus obtained by (1 .266) and 

 multiplying by (1 .363) . The resulting table will then be based upon 

 the Vermont rule. Should it be desirable to further transform the table 

 to values in cubic feet of the Inscribed Square rule, divide all values 

 by 12. This last reduction will show the volume in cubic feet of the 

 square timbers that can be sawed from trees of different merchantable 

 lengths and diameters breasthigh. 



The total number of cubic feet inside bark contained in logs of trees 

 measured for the original volume table based on the Spaulding Log 

 Rule can be obtained by adding twice the average merchantable length 

 to each value in the table and then dividing by (1 .266) and dividing 

 by 12. This reduction gives the volume in .cubic feet of the total logs 

 in each tree, without the taper of the various logs originally measured 

 being taken into consideration. 



To recapitulate : All volume tables based upon 



n (D aY 



.. 



4 X 12 



can be reduced to any other table based upon the same form of log rule 

 where the constant a is the same as in the rule originally used in compil- 

 ing the table. 



All volume tables based upon rules of the form 



= 



can be reduced or transformed to volume tables based upon any log rule 

 of either of these forms, and in all cases the resulting tables will be the 

 same as though the individual rules had been applied to the original data. 

 Any volume table based upon one of the following rules can be trans- 

 formed to a volume table based upon any of the other rules here given : 

 Constantine, Saco Kiver, Derby, Square of Three-fourths, Partridge, 

 Vermont, Inscribed Square (which is the Vermont rule divided by 12), 

 Sill well, Ake, Square of Two-thirds, Two- thirds rule (which is the 

 Square of Two-thirds Rule divided by twelve), Orange River, Cumber- 

 land River, Bangor, Boynton, Parsons, Warner, Spaulding, Wilcox, 

 Ropp, Favorite, Nineteen Inch Standard, New Hampshire (or Blodgett), 

 the Cube Rule, Twenty-two Inch Standard, Twenty-four Inch Standard, 

 Seventeen Inch Rule. 



NOTE : The Hannah, Finch and Apgar, and Scribner rules have been omitted in the 

 above list since their original values appear too erratic to be included. The Maine, 

 Herring and Dusenbury also have been omitted, since each of these rules have 

 separate formulae for small and large logs. 



In like manner any volume table based upon 



n (D a\ 2 



can be transformed to other volume tables of the same form, pro- 

 vided the constant a is the same in rules under consideration. 



