Pentagramma Mirificum and elliptic functions
Algebraic Geometry
2011-06-21 v1
Abstract
We give an exposition of fragments from Gauss [G] where he discovered, with the help of some work of Jacobi, a remarkable connection between Napier pentagons on the sphere and Poncelet pentagons on the plane. As a corollary we find a parametrization in elliptic functions of the classical dilogarithm five-term relation.
Keywords
Cite
@article{arxiv.1106.3633,
title = {Pentagramma Mirificum and elliptic functions},
author = {Vadim Schechtman},
journal= {arXiv preprint arXiv:1106.3633},
year = {2011}
}
Comments
14 pages