David Fraivert, Properties of a Pascal points circle in a quadrilateral with perpendicular diagonals,
Forum Geometricorum, 17 (2017) 509--526.

Abstract. 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 properties of the Pascal points on the sides of a convex quadrilateral and with the properties of circles that form Pascal points. In the present paper, we shall continue developing the theory, and we shall define the concept of the ``Pascal points circle". We shall prove four theorems regarding the properties of the points of intersection of a Pascal points circle with a quadrilateral that has intersecting perpendicular diagonals.

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