## A Ceva-like Theorem for Tetrahedra

The result (which I believe may be new, although it could very well exist in the hundreds of years of mathematical literature since Ceva) replaces the traditional ratios of segment lengths with “triple-ratios” of triangle areas, to satisfying effect. Whereas the ratios in Ceva’s Theorem reduce to $$1$$ (or “$$[1:1]$$”), my triple-ratios reduce to $$[1:1:1]$$.