TABLE XIV. 



| SHOWING THE SOLID CONTEXT OF DUNG-PITS, DUNG-HEAPS, BROKEN 

 METAL FOR ROADS, &C. FROM J FOOT TO 60 FKET IN LENGTH, 1 



FOOT TO 30 FEET IN BREADTH, AND FROM 6 INCHES TO 4 FEET 

 INCHES IN DEPTH. 



EXPLANATION OF THE TABLE. The length is found in the left- 

 hand column of the page, rising by J of a foot to 1 foot, then by 

 1 foot to 20 feet, then 40 and 60 feet ; the breadths are found 

 on the top of the pages, rising by 6 inches from 1 foot to 3 feet, 

 thence by 1 foot to 9 feet, and thence by 3 feet or 1 yard to 30 

 feet ; the depths are placed along the tops of the columns, rising 

 by 1 inch, from 6 inches to 1 foot, thence by 3 inches to 2 feet, 

 and thence by 6 inches to 4 feet 6 inches. The content is 

 given in solid* or cubic yards and feet ; 27 solid feet being equal 

 to 1 solid yard. In calculating the Table, fractions which ex- 

 ceed J foot are reckoned J foot, those which are less than J are 

 neglected. 



RULE. For taking the dimensions of dung-heaps, and heaps 

 of broken metal, <kc., which are narrower at top than bottom, 

 first add the breadths of the heap, at the top and bottom toge- 

 ther, and divide the sum by 2 for a mean breadth ; treat the 

 length in the same manner for a mean length ; and if the depth 

 is unequal, take the depth in several places, add them together, 

 and divide by the number of depths taken for a mean depth, 

 and with these mean dimensions find the content by the Table. 



EXAMPLE 1. The breadth of a dung-heap is 1 4 feet at the top, 

 and 16 feet at the bottom ; the length is 59 feet at the top, and 

 6 1 feet at the bottom ; the depth in three places is 4 feet 3 

 inches, 4 feet 6 inches, and 4 feet 9 inches ; required its content 

 in cubic yards ? 



First find the mean breadth, 

 14 feet -{-16 feet = 30 -7- 2 = 15 feet, mean breadth ; 



Then for the mean length, 

 59 feet + 61 feet = 120 2 = 60 feet, mean length ; 



And for the mean depth, 

 4 J feet + 4J feet + 4f feet = 13J ~ 3 = 4J feet, mean depth; 



Now find 15 feet, the breadth on the top of the page in the 

 Table, and 4 feet 6 inches the depth on the top of a column, 

 under which, and opposite the length CO feet in the left-hand 

 column, stands 150 yards, the solid content of the heap. 



