In finding the correct bevels for the joints of an oval cask first set out the oval or ellipse, and a good method of doing this is shown by the illustration. Let A B and C D be the given diameters. Divide 0 C into three equal parts. On line A B mark off A 8 and B 4, each equal to 0 2. Make O 5 equal to 0 2; then draw the radial lines from 2 and 5, passing through 3 and 4 as shown.

Then 2 and 5 will be the centres for the larger curves, and 3 and 4 for the smaller. Next set out the staves as shown. It will be seen that two bevels will be required. For the sharper-curved staves, as at B, join the points 6 and 7, then join the radial line 7 i, and draw E bevel as shown; the bevel at F can be obtained in a similar manner. The bevels here given are for application at the centre of the staves.

Determining Bevels for Joints of Oval Cask.