The incenter of a triangle as a cone isoperimetric center

Details The incenter of a triangle as a cone isoperimetric center The incenter of a triangle as a cone isoperimetric center

2010-12-29

arxiv.org/abs/1012.5918v1

Mathematics

Metric Geometry

3 pages

Scientific paper

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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