## Philosophical Transactions of the Royal Society of London: Mathematical and physical sciences, Volume 235, Issue 753 |

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A. T. Doodson algebraic equations amphidromic point Associated Legendre Functions Bounded by Complete bounding meridian C D X CCXXXV—A CD CD CD CM CD CN CD tN CM CD CM CM CN CD CN CM CN CN CN CN tN CN X CN column Complete Meridian computation contour lines convergence corange lines cotidal and corange deduce denote differential equations Diurnal Tide K1 expressed f'sin form Pr formula Fourier expansions Fourier series given in Tables H i—i I I I I I icos sQ independent coordinates integration Lagrangian Coordinates method MiII numerical o o o o o o obtained ocean bounded oscillations places of decimals pole Pr"P Proudman Relative values resonant sin2 solution substituting Table XX Table XXV tide KJ tN CN trigonometrical values of Pr X X CN CN zero dimensions