The conic geometry of rectangles inscribed in lines

@article{Olberding2019TheCG,
  title={The conic geometry of rectangles inscribed in lines},
  author={Bruce Olberding and Elaine A. Walker},
  journal={Proceedings of the American Mathematical Society},
  year={2019}
}
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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