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APPENDIX D. TABLES. 



THIS Appendix contains the following Tables : 



TABLE I. Yield Tables used in the Kingdom of Saxony for the 



determination of the Quality of Locality. 

 TABLE II. Area of Circles for Diameters ranging from 1 inch to 



60 inches. 



TABLE III. Volumes of Cylinders and the Sum of the Area of Circles 

 for Diameters ranging from 1 inch to 48 inches. 



Example. Find the volume of a log which has a 

 diameter in the middle of 15 inches and a length of 

 24 feet : 

 Volume of 20 feet length 



= 10 x 2-4544 . . = 24-544 cubic feet. 

 Volume of 4 feet length .= 4'9088 



Total . . = 29-4528 



In the same way : Area of 

 24 circles of 15 inches 

 diameter . . , = 2 9 '452 8 sq. feet. 



TABLE IV. Tables of Compound Interest : 



A. Amount to which a capital accumulates with com- 



pound interest in n years : C n = C X l'op n . 



B. Present value of a capital to be realized after 



n 

 C. Present value of a perpetual rental due every 



D. Present value of a rental due at the end of every 

 year, altogether n times, C = ^' n 



If the rentals refer to the past n years, the positions in this 

 Table must be multiplied by the corresponding values of I' op*, 

 to be taken from Table IV., A., so as to comply with the formula : 



r _r(l-op n -l} 

 i_/ - . 

 op 



VOL. III. C 



