TABLE XLIV. SOLID CONTENT OP CYLINDRICAL TREES, ETC. 5G3 



the two ends of the tree, which error becomes rapidly less, as the 

 girths or diameters of the ends approach to equality. Thus, 

 when the girths, or diameters of the two ends, are to one another 

 as 8 is to 4, the loss, by using the mean girth, or the mean dia- 

 meter, is 1 in 27; when they are to one another as 8 is to 5, the 

 loss is 1 in 56 J; when as 8 is to 6, the loss is 1 in 147; and 

 when they are as 8 is to 7, the loss is only 1 in 675. 



The ever-varying proportions of the one end of a tree to the 

 other render it impossible to get a constant multiplier or divisor, 

 by which a Table of the true content of conic frustums could be 

 formed ; but in the measuring of round tapering timber this, in 

 general, is not of much importance, as, on the one hand, if a tree 

 be not perfectly circular, the content will thereby be something 

 lessened ; and, on the other, if the dimensions of the two end* 

 differ considerably, the value of the tree per cubic foot is also 

 proportionally lessened. It may, therefore, be concluded, that if 

 the solidity of a tree be calculated as a cylinder of its mean girth 

 or diameter, the content is shown for practical purposes with al 

 desirable exactness. 



