MATHEMATICAL MISCELLANEA

In Durell's Modern Geometry we find a surprisingly simple method of inscribing a square in a given triangle, based on the concept of homothetic1 figures. The method supplements two of the more conventional approaches to the problem. We are submitting three methods of inscribing a square in a triangle. No doubt there are more. Perhaps readers will provide additional approaches to the problem. We restrict our proofs to the acute triangle case.