I think the concept may date back to ReneRené De SauccureSaussure (1868-1943). He was interested in the Euclidean geometry of 3-dimensional space and used the term "feuillette""géometrie des feuillets". I think this may have been his doctoral work. The work was criticized by Eduard Study because de SauccureSaussure failed to reference Study! Despite teaching Math at the University of Geneva de SauccureSaussure seems to be more famous for his work on Esperanto.
From his papers: