The differential equation which results when the Laplace equation is applied to the meniscus of a fluid lying in the form of an annulus between two vertical, concentric and coaxial cylindrical tubes has been integrated numerically by computer application of Kelvin's graphical method. Results for the capillary rise as a function of the radii of the inner and outer cylinders are presented in tabular form for ranges of the variables likely to be encountered in surface tension studies.