Generalizing Eves' Theorem
MAA MathFest 2012
A 2011 article by Marc Frantz in Mathematics Magazine demonstrated some applications of Eves’ Theorem, which states that certain ratios of Euclidean distances are invariant under projective transformations (a non-Euclidean notion) of the plane. The theorem can be generalized to higher dimensions, and some of the results on invariant ratios of areas pre-date Eves.
Algebraic Geometry | Mathematics | Other Applied Mathematics
Adam Coffman (2012).
Generalizing Eves' Theorem. Presented at MAA MathFest 2012, Madison, WI.