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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 515=17, 2013.

Original scientific paper

On Gergonne point of the triangle in isotropic plane

Jelena Beban-Brkić ; Department of Geomatics, Faculty of Geodesy, University of Zagreb, Kaˇci´ceva 26, HR-10 000 Zagreb, Croatia
Vladimir Volenec ; Department of Mathematics, University of Zagreb, Bijeniˇcka c. 30, 10 000 Zagreb, Croatia
Zdenka Kolar-Begović orcid id orcid.org/0000-0001-8710-8628 ; Department of Mathematics, University of Osijek, Gajev trg 6, 31 000 Osijek, Croatia
Ružica Kolar-Šuper ; Faculty of Teacher Education, University of Osijek, Cara Hadrijana 10, 31 000 Osijek, Croatia

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page 95-106

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Abstract

Using the standard position of the allowable triangle in the isotropic
plane relationships between this triangle and its contact and tangential triangle
are studied. Thereby different properties of the symmedian center, the Gergonne
point, the Lemoine line and the de Longchamps line of these triangles
are obtained.

Keywords

isotropic plane; standard triangle; contact triangle; Gergonne point; tangential triangle; Lemoine line

Hrčak ID:

104410

URI

https://hrcak.srce.hr/104410

Publication date:

27.6.2013.

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