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Global size and shape estimates for symmetric sessile drops.

In a Supplement to a Supplement to the tenth book of his treatise on celestial mechanics [9], P. S. Laplace gave the first analytical expressions to determine the height of a sessile liquid drop. The drop is assumed to be Symmetrie and to be resting in mechanical equilibrium on a plane surface Π in a gravity field directed toward 71, and to meet Π in a prescribed constant angle y on the circle of contact (see Figure 1).