An Etude on One Sharygin's Problem
History and Overview
2015-04-13 v1 Metric Geometry
Abstract
By the methods of the synthetic geometry we investigate properties of objects generated from a complete quadrangle and a line, which lies in its plane. We start with a problem from the book of Sharygin "Problems in Plane Geometry". We generalize this problem with the help of Pappus, Desargues and Pascal's Theorems and we discover new concurrent lines, collinear points, and conic sections.
Cite
@article{arxiv.1405.3595,
title = {An Etude on One Sharygin's Problem},
author = {Boyan Zlatanov},
journal= {arXiv preprint arXiv:1405.3595},
year = {2015}
}
Comments
11 pages, 7 figures