Summary
We provide a concrete example of two constructible polygons in the plane whose common area bisecting line is not constructible.
MSC:
Acknowledgment
We thank the referee for his/her careful reading, great insight, and suggestions for improvement.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Notes on contributors
Allan Berele
Allan Berele (MR Author ID: 35020) received his Ph.D. from the University of Chicago and is a professor at DePaul University in Chicago. His main research interest is in algebras with polynomial identities, although he fell in love with Euclidean geometry many years before he ever heard of p. i. algebras.
Stefan Catoiu
Stefan Catoiu (MR Author ID: 632038) received his Ph.D. from the University of Wisconsin-Madison and is an associate professor at DePaul University in Chicago. His research interests includes non-commutative algebra, real analysis, geometry, number theory and elementary mathematics.