Loci of centers in pencils of triangles in the isotropic plane

Scientific paper - Original scientific paper

• Title (croatian): Geometrijska mjesta središta u pramenovima trokuta u izotropnoj ravnini
• Author: Ema Jurkin
• Author's institution: University of Zagreb; Faculty of Mining, Geology and Petroleum Engineering; (Department of Mathematics, Informatics and Descriptive Geometry)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract (english)

In this paper we consider a triangle pencil in an isotropic plane consisting of those triangles that have two fixed vertices, while the third vertex is moving along a line. We study the curves of centroids, Gergonne points, symmedian points, Brocard points and Feuerbach points for such a pencil of triangles.

Abstract (croatian)

U radu se promatra pramen trokuta u izotropnoj ravnini koji sadrži trokute čija su dva vrha čvrsta, a treći leži na danom pravcu. Proučavaju se krivulje težišta, Gergonnovih, Brocardovih i Feuerbachovih točaka te sjecišta simedijana takvog pramena.

• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Rad Hrvatske akademije znanosti i umjetnosti Matematičke znanosti
• Numbering: no. 551=26, pp. 155-169
• p-ISSN: 1845-4100
• e-ISSN: 1849-2215
• DOI: https://doi.org/10.21857/94kl4cl6wm
• URN:NBN: urn:nbn:hr:169:954753
• Publication: 2022
• Document URL: https://dizbi.hazu.hr/a/?pr=i&id=2530148
• Type of resource: Text
• Access conditions: Open access
• Created on: 2023-09-14 11:53:24