Pascal-points quadrilaterals inscribed in a cyclic quadrilateral

@article{Fraivert2019PascalpointsQI,
  title={Pascal-points quadrilaterals inscribed in a cyclic quadrilateral},
  author={David Fraivert},
  journal={The Mathematical Gazette},
  year={2019},
  volume={103},
  pages={233 - 239}
}
  • David Fraivert
  • Published 1 July 2019
  • Mathematics
  • The Mathematical Gazette
This paper presents some new theorems about the Pascal points of a quadrilateral. We shall begin by explaining what these are. Let ABCD be a convex quadrilateral, with AC and BD intersecting at E and DA and CB intersecting at F. Let ω be a circle through E and F which meets CB internally at M and DA internally at N. Let CA meet ω again at L and let DB meet ω again at K. By using Pascal’s theorem for the crossed hexagons EKNFML and EKMFNL and which are circumscribed by ω, the following results… 

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The theory of a convex quadrilateral and a circle that forms Pascal points is a new topic in Euclidean geometry. The theory deals with the propertie s of the Pascal points on the sides of a convex
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Euclidean geometry is one of the oldest branches of mathematics – the properties of different shapes have been investigated for thousands of years. For this reason, many tend to believe that today it