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- Title
A Complete Quadrilateral in Rectangular Coordinates.
- Authors
VOLENEC, VLADIMIR; JURKIN, EMA; HORVATH, MARIJA ŠlMlĆ
- Abstract
A complete quadrilateral in the Euclidean plane is studied. The geometry of such quadrilateral is almost as rich as the geometry of a triangle, so there are lot of associated points, lines and conics. Hereby, the study was performed in the rectangular coordinates, symmetrically on all four sides of the quadrilateral with four parameters a, b, c, d. In this paper we will study the properties of some points, lines and circles associated to the quadrilateral. All these properties are well known, but here they are all proved by the same method. During this process, still some new results have appeared.
- Subjects
QUADRILATERALS; CARTESIAN coordinates; TRIANGLES; EUCLIDEAN geometry; PARABOLA
- Publication
KoG, 2022, Vol 26, Issue 26, p62
- ISSN
1331-1611
- Publication type
Article
- DOI
10.31896/k.26.6