Elliptic Inversions in Taxicab Geometry-Reference-Cited by-同舟云学术

Elliptic Inversions in Taxicab Geometry

Published:2024-04-14 Issue:2 Volume:24 Page:266-272
ISSN:2149-3367
Container-title:Afyon Kocatepe University Journal of Sciences and Engineering
language:tr
Short-container-title:

Author:

Can Zeynep¹^ORCID

Affiliation:

1. Aksaray University

Abstract

The goal of this research is to introduce inversion with respect to an ellipse which is a generalization of the classical circular inversion in taxicab plane and to investigate general properties and basic concepts of this transformation in taxicab geometry. The cross ratio is preserved under the elliptic inversion in taxicab plane though this transformation is not an isometry. Thus some properties such as cross ratio and harmonic conjugates of the elliptic inversions in R_T^2 are also studied.

Publisher

Afyon Kocatepe Universitesi Fen Ve Muhendislik Bilimleri Dergisi

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