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Generalized Conchoids

Boris Odehnal   ORCID icon ; University of Applied Arts Vienna, University of Applied Arts Vienna, University of Applied Arts Vienna, Vienna, Austria

Puni tekst: engleski, pdf (4 MB) str. 35-46 preuzimanja: 185* citiraj
APA 6th Edition
Odehnal, B. (2017). Generalized Conchoids. KoG, 21 (21), 35-46.
MLA 8th Edition
Odehnal, Boris. "Generalized Conchoids." KoG, vol. 21, br. 21, 2017, str. 35-46. Citirano 29.10.2020.
Chicago 17th Edition
Odehnal, Boris. "Generalized Conchoids." KoG 21, br. 21 (2017): 35-46.
Odehnal, B. (2017). 'Generalized Conchoids', KoG, 21(21), str. 35-46.
Odehnal B. Generalized Conchoids. KoG [Internet]. 2017 [pristupljeno 29.10.2020.];21(21):35-46.
B. Odehnal, "Generalized Conchoids", KoG, vol.21, br. 21, str. 35-46, 2017. [Online].

We adapt the classical de finition 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



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