Is there a specific word for three dimensional cevians? I am referring to the line segment from a vertex of a tetrahedron to the opposite face. I have tried looking this up but have not found any results.
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According to Wikipedia, cevians are named after Giovanni Ceva, due to Ceva's theorem. The theorem does generalize to higher dimensions, and at least one reference to those generalizations (Landy 1988) refers to any line segment connecting a vertex of a tetrahedron to the opposite face as a "cevian" as well.
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