What were Gauss's contributions to capillarity?

I am writing a Wikipedia article (in a certain language) in which I intend to include a summary of Carl Friedrich Gauss's contributions to capillarity. I know that Gauss derived

• the Young-Laplace equation using a new variational approach

• the relation for the wetting angle of a liquid and solid (liquid drops on solid surface)

Did Gauss derive completely new results?

I'll be glad if someone will give an outline of his contributions.