The quadrilateral coordinated with a circle that forms Pascal points and its properties. (English) Zbl 1543.51014
In this paper, the author presents the concept of a quadrilateral coordinated with a circle that forms Pascal points which is defined as a quadrilateral for which there exists a circle that forms Pascal points on the sides of the quadrilateral, and for which it holds that the following four points are collinear: the point of intersection of the extensions of the two opposite sides of the quadrilateral, the center of the circle, and the two Pascal points formed by it. The author investigates and proves the properties of this quadrilateral.
Reviewer: Cătălin Barbu (Bačau)
MSC:
| 51M04 | Elementary problems in Euclidean geometries |
| 51M05 | Euclidean geometries (general) and generalizations |
| 51M15 | Geometric constructions in real or complex geometry |
| 51N20 | Euclidean analytic geometry |
Keywords:
coordinated quadrilateral; circle that forms Pascal points; collinearity of points; geometric constructionReferences:
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