Natural Families of Triangle I: Parametrizing Triangle Space

نویسندگان

  • Adam Carr
  • Julia Fisher
  • Andrew Roberts
  • David Xu
چکیده

We group triangles into families based on three parameters: the distance between the circumcenter O and the centroid G , the circumradius, and the measure of angle ∠GOA where A is one vertex. Using these parameters, we present triangle space, a subset of R in which every triangle is represented by exactly one point.

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تاریخ انتشار 2007