Abstract
Five papers on various problems of gravity waves in perfect liquids are being published together; the first three papers are entirely theoretical, but the last two include a description of various experiments made to check and extend the mathematical investigations contained in the third paper. Part I, by Penney & Price, considers the diffraction pattern produced by a semi-infinite straight breakwater inclined at any angle to the direction of approaching parallel harmonic infinitesimal sea waves. The spread of the waves into the lea of the breakwater is particularly interesting. The wave patterns behind gaps, and other extensions of the theory, are also developed.

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