aq msTthod of valuing growing timber. 



circumference at the ground, consequently, at half the 

 height, the circumference is 12 inches. One fourth of this, 

 being 3 inches, is called the girth. The girth being squared, 

 and multiplied into the height, gives one foot one inch and 

 six parts for its contents. At 13 years old the tree will be 

 19| feet high, 26 inches in circumference at the ground, 

 and 13 inches at half the height; one fourth of 13 gives 

 3 J inches for the girth. This squared and multiplied into 

 the height, give one foot live inches and one part for the 

 contents. Deduct from this the contents of the tree at 12 

 years of age, and there remain three inches and seven parts, 

 which is the increase in the 13th year. Then reduce the 

 contents of the tree when 12 years old, and the increase in 

 the 13th year, each into parts, dividing the former by the 

 latter, and the quotient will be 3'76; by this number di- 

 vide 100, and tlie quotient is 26*5, which is the rate per 

 cent of increase made in the thirteenth year. Consequently 

 whatever the tree might be worth when 12 years old, it wiH, 

 at the end of the 13th year, be improved in value after the 

 rate of Q.GL IGs. per cent, or in other words, that will be the 

 interest it will have paid that year for the money the tree 

 was worth the preceding year. 



At every succeeding period, both in this Table and Ta- 

 ble I, the like process is gone through. 



Ohacrvalions on Tables I and JT. 



General ob. The preceding tables furnish us with the following useful 

 .se,vatior..on ;,^^^^^,,,^ ViZ. 



the preceding ' 



^^^^^i. 1st. That all regular growing trees, measured as above, 



as often as their age is increased one fourth, contain very 

 •nearly double their <j[uaotity of timber. 



2nd. That when a tree has doubled its age, its contents 

 will be eight-fold. 



3d. That when a tiTc has doubled its age, the annual 

 growth will be increased four-fold. 



-Uh. Consequently, that when a tree has doubled its age, 

 the proportion that its annual increase bears to the contents 

 (if the whole tree is then diminished one half. 



This 



