Re: [math-fun] yacht question

In general, the bow and the stern of a yacht do not travel the same distance. Counterexample: a yacht moored at the bow. The bow describes an arc with a smaller radius than the stern does. 'Perturbation theory': attach a long, horizontal bowsprit-like stick to the bow which makes no difference to the Centre of Lift or the Centre of Gravity. This makes no difference to the locus of the stern but exaggerates the motion of what was the bow and is therefore greater. 'Three dimensions': The bow seems to bob up and down much more than the stern, and presumably has a longer locus measured in 3D Guy Haworth