Being fresh from reading a very interesting publication on the Restoration yachts of Charles II, I looked again at William Sutherland's work, The Ship-builders Assistant, 1711, focusing on his method of shaping ship hulls.
In his work, Sutherland proposes shaping ship hulls so that the submerged part of the hull takes the form of an (elongated) egg. Such a shape is called a conoid. Both the characteristic feature and result of such a form are frames with the profile of a perfect arc