English

Generalization of the Wallace-Simson line

Metric Geometry 2010-08-04 v1

Abstract

A Wallace-Simson line of a point J has the property that it passes through the midpoint Q of HJ, where H is the orthocentre. By allowing Q to move on the perpendicular bisector of HJ we obtain generalized Wallace-Simson lines. These turn out to be known in another context.

Cite

@article{arxiv.1008.0588,
  title  = {Generalization of the Wallace-Simson line},
  author = {Christopher Bradley},
  journal= {arXiv preprint arXiv:1008.0588},
  year   = {2010}
}

Comments

6 pages, 1 figure

R2 v1 2026-06-21T15:56:30.629Z