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https://doi.org/10.31896/k.21.3

Generalized Conchoids

Boris Odehnal orcid id orcid.org/0000-0002-7265-5132 ; University of Applied Arts Vienna, University of Applied Arts Vienna, University of Applied Arts Vienna, Vienna, Austria


Puni tekst: engleski pdf 4.104 Kb

str. 35-46

preuzimanja: 477

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Sažetak

We adapt the classical definition of conchoids as known from the Euclidean plane to geometries that can be modeled within quadrics. Based on a construction by means of cross ratios, a generalized conchoid transformation is obtained. Basic properties of the generalized conchoid transformation are worked out. At hand of some prominent examples - line geometry and sphere geometry - the actions of these conchoid transformations are studied. Linear and also non-linear transformations are presented and relations to well-known transformations are disclosed.

Ključne riječi

conchoid transformation; line geometry; sphere geometry; cross ratio; regulus; Dupin cyclide; Laguerre transformation; equiform transformation; inversion

Hrčak ID:

192227

URI

https://hrcak.srce.hr/192227

Datum izdavanja:

9.1.2018.

Podaci na drugim jezicima: hrvatski

Posjeta: 1.103 *