4 Forest Mensuration 



PARAGRAPH VIII. 

 RIECKE'S, HUBER'S AND SMALIAN'S FORMULE. 



Formules of practical and scientific application, used here and abroad, 

 to ascertain the contents of logs, are those published by Smalian, Riecke 

 and Huber. 



Riecke's formula holds good for n equal to o, I and 2, and is almost 

 correct for the neilloid. 



Smalian over-estimates and Huber under-estimates the actual contents 

 of the truncated cone and of the truncated neilloid. 



Riecke Vol. of trunk = (B! -f- 4sj + s 2 ) 



6 



Huber Vol. of trunk = h.sj 



h 



Smalian Vol. of trunk = (s t -f- s 2 ) 







Si designates the sectional area in the midst of the trunk, whilst Si and 82 

 represent basal sectional area and top sectional area. 



PARAGRAPH IX. 

 HOSSFELD'S FORMULE. 

 The formule given by Hossfeld is : 



h 



Vol. of trunk = (3 sj + s 2 ) 

 4 



It holds good for cylinder, cone and paraboloid. Si designates the sec- 

 tional area at \ of the height of the trunk. 



PARAGRAPH X. 



SIMONY'S FORMULE. 



Simony's formule requires measurements of sectional areas at J4, Y* 

 and Y^ of the height of the trunk, thus avoiding the irregularities caused 

 by the roots at the base and by the branches at the top of a tree-trunk. 



h 



Vol. of trunk = (2 sj sj -f 2 sj ) 

 3 



This formule holds good for the four standard conoids. 

 PARAGRAPH XL 



SECTIONAL MEASUREMENT. 



The formules given in Paragraphs III. to X. have, in C. A. Schenck's 

 opinion, a historic interest only when applied to whole trees. It is much 

 safer to ascertain the volume of a tree bole by dissecting it into (imag- 



