40 STATE BOARD OF FORESTRY. 



Square of Three-quarters, Partridge, Vermont, Stillwell, Ake, Square of 

 Two-thirds, Orange River, or Cumberland River, by multiplying the 

 aggregate by the proper constant. The result in every case will be 

 precisely the same as though the logs were scaled separately by. each of 

 the rules. If, however, it is desired to reduce the aggregate scale of 

 these logs now expressed in standards or in board feet, as the case may 

 be, to board feet as shown by the Doyle Log Rule, for instance, the 

 problem is impossible. There is no way of making the reduction. The 

 logs will have to be scaled in accordance with the principles of the Doyle 

 Log Rule in order to get such results. If only a single log were in 

 question instead of a number of different sizes, it would be very easy 

 to make such a reduction, but since there is no common ratio existing 

 between the Doyle Log Rule (also other rules of that form) and the 

 Nineteen Inch Standard (and others of its form) for logs of all sizes, 

 the reduction can not be applied to more than one log or set of logs of 

 equal diameters. 



It is folly to compare results obtained by two logs rules of different 

 forms as applied to logs of various sizes. It is evident that a comparison 

 of the formulas of such rules would reveal a great deal more. Values 

 shown by log rules of different forms are not comparable, since their 

 underlying principles are different. Any comparison made of such 

 values only lead to confusion and really do more harm than good. 



The following will illustrate how the Nineteen Inch Standard Rule 

 may be reduced to other standards and also to any log rule giving 

 values in board feet which is of the same form : 



Given: The Nineteen Inch Standard Rule F.in 19"stand- 



19 2 X13 



D 2 

 ards, and given: The Blodgett rule. irL= V, in Blodgett standards, 



16 

 to find the common reducing factor c: 



X c 



19 2 X 13 16 2 



c 1 



19 2 X13 16 2 



1PX18 

 16 2 



Therefore, if a log or any number of logs of different sizes have been 

 scaled by the Nineteen Inch Standard Rule, the results may be expressed 

 in Blodgett standards by multiplying by 18.33, which is the number of 

 Blodgett standards contained in a Nineteen Inch standard. The ratio 

 holds constant regardless of the size of the logs. 



In like manner, the reducing factors for all other standard rules may 

 be obtained. 



jyi j^ 



Given: The Nineteen Inch Standard Rule = V. in standards, 



19 2 X 13 



7t D 2 



and the Vermont rule (1 .363) - -L= B.M. in board feet. 



4 X 12 



