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In the Seventh Series of these Researches I have pointed out the laws which the diurnal inequality of the height of high water follows, and which I believe had never before been collected from the facts of observation, or indeed stated at all. I have also shown that these laws are modified so as to exhibit very remarkable differences at different places, and to give rise to some difficulty in conceiving the mechanical propagation of the tide-wave. I suggested what appeared to me a possible solution of the difficulty; but as this suggestion was founded upon the facts of a few places, and as other modes of propagation might perhaps also be conceived and adapted to the same facts, the subject remained incomplete. I resolved therefore to attempt to trace the progress of the wave which brings the diurnal inequality, on some of the coasts on which simultaneous observations were made at my request in June 1835, and the present memoir will give some account of the conclusions to which I have been led by this investigation.

XIV. Researches on the tides. —Eighth series. On the progress of the diurnal inequality wave along the coasts of Europe