PROBLEM III. To find the Content of a Cask of the FIRST VARiety, by the Diagonal Rule. CASE I. If the Cask be lying, put the Rule into the bung-hole in such manner as that its extremity may meet the intersection of the head and stave on the opposite side of the Cask, then on the Rule at the centre of the bung-hole will be the content, in ale gallons and wine gallons respectively, on the diagonal lines of the Rule. CASE II. If the Cask be standing, apply the diagonal lines to the head diameter, and twice the diagonal measuring the head will be the content. When the diagonal of a Cask of the First Variety is known, the content may be found by the Sliding Rule as follows: For Ale Gallons. Set the diagonal on C, to 21.2 on D, then against the diagonal on D, will be the content on C. For Wine Gallons. Set the diagonal on C, to 19.2 on D, then against the diagonal on D, will be the content on C. EXAMPLE. Required the content of a Cask of the First Variety, in Ale and Wine, the diagonal being 29.3 inches. SOLUTION. on D. on C. Diag.P.{19.2} to{29-3}against {29-3 are 556-2 A.G. PROBLEM IV. - 2690W.G.5 To determine the Content of a Cask by a Table of Quotients. Divide the head diameter by the bung diameter to two decimal places in the quotient, and seek this quotient in the column of Quotients in the Table: then from the column answering to the proposed Variety and denomination, take out the decimal, which divide by 100; next, multiply the quotient by the square of the bung diameter, and afterwards by the length of the Cask, for the Content. TABLE OF QUOTIENTS FOR THE FOUR VARIETIES OF CASKS IN ALE AND WINE MEASURES. |