The conic geometry of rectangles inscribed in lines
Authors:
Bruce Olberding and Elaine A. Walker
Journal:
Proc. Amer. Math. Soc. 149 (2021), 2625-2638
MSC (2020):
Primary 51N10; Secondary 11E10
DOI:
https://doi.org/10.1090/proc/15374
Published electronically:
March 18, 2021
MathSciNet review:
4246812
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Abstract | References | Similar Articles | Additional Information
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.
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Additional 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
Article copyright:
© Copyright 2021
American Mathematical Society