The conic geometry of rectangles inscribed in lines
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- by Bruce Olberding and Elaine A. Walker
- Proc. Amer. Math. Soc. 149 (2021), 2625-2638
- DOI: https://doi.org/10.1090/proc/15374
- Published electronically: March 18, 2021
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Abstract:
We develop a circle of ideas involving pairs of lines in the plane, intersections of hyperbolically rotated elliptical cones and the locus of the centers of rectangles inscribed in lines in the plane.References
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Bibliographic Information
- Bruce Olberding
- Affiliation: Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003-8001
- MR Author ID: 333074
- Email: bruce@nmsu.edu
- Elaine A. Walker
- Affiliation: 1801 Imperial Ridge, Las Cruces, New Mexico 88011
- Email: miselaineeous@yahoo.com
- Received by editor(s): August 14, 2019
- Received by editor(s) in revised form: August 16, 2019, and September 24, 2020
- Published electronically: March 18, 2021
- Communicated by: Matthew Papanikolas
- © Copyright 2021 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 2625-2638
- MSC (2020): Primary 51N10; Secondary 11E10
- DOI: https://doi.org/10.1090/proc/15374
- MathSciNet review: 4246812