English

The incenter of a triangle as a cone isoperimetric center

Metric Geometry 2016-03-21 v1

Abstract

We show that the the image of the regular projection of a vertex of a cone over a triangle that minimizes the ratio of the cube of the area of the boundary of the cone and the square of the volume of the cone coincides with the incenter.

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Cite

@article{arxiv.1012.5918,
  title  = {The incenter of a triangle as a cone isoperimetric center},
  author = {Jun O'Hara},
  journal= {arXiv preprint arXiv:1012.5918},
  year   = {2016}
}

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3 pages