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3 Results Found

  • Article
  • Open Access
1 Citations
1,850 Views
17 Pages

Isoptic Point of the Complete Quadrangle

  • Ema Jurkin,
  • Marija Šimić Horvath and
  • Vladimir Volenec

24 May 2024

In this paper, we study the complete quadrangle. We started this investigation in a few of our previous papers. In those papers and here, the rectangular coordinates are used to enable us to prove the properties of the rich geometry of a quadrangle u...

(This article belongs to the Special Issue Advances in Geometry and Its Applications)
  • Feature Paper
  • Article
  • Open Access
1,157 Views
10 Pages

Isoptic Point of the Non-Cyclic Quadrangle in the Isotropic Plane

  • Ema Jurkin,
  • Marija Šimić Horvath and
  • Vladimir Volenec

19 November 2024

We study the non-cyclic quadrangle ABCD in the isotropic plane and its isoptic point. This is a continuation of the research carried out in a few previous papers. There, we put the non-cyclic quadrangle in the standard position, which enables us to p...

  • Article
  • Open Access
1 Citations
2,146 Views
16 Pages

23 December 2024

It is well known that the four ancient Greek triangle centers and others have homogeneous barycentric coordinates that are polynomials in the sidelengths a,b, and c of a triangle ABC. For example, the circumcenter is represented by the polynomial a(b...

(This article belongs to the Special Issue Feature Papers in Geometry)