Časopisi po područjima
Politike i razmjena
Izvorni znanstveni članak
; University of Applied Arts Vienna, University of Applied Arts Vienna, University of Applied Arts Vienna, Vienna, Austria
Puni tekst: engleski, pdf (4 MB)
APA 6th Edition
Odehnal, B. (2017). Generalized Conchoids. KoG, 21 (21), 35-46. Preuzeto s https://hrcak.srce.hr/192227
MLA 8th Edition
Odehnal, Boris. "Generalized Conchoids." KoG, vol. 21, br. 21, 2017, str. 35-46. https://hrcak.srce.hr/192227. Citirano 18.08.2018.
Chicago 17th Edition
Odehnal, Boris. "Generalized Conchoids." KoG 21, br. 21 (2017): 35-46. https://hrcak.srce.hr/192227
Odehnal, B. (2017). 'Generalized Conchoids', KoG, 21(21), str. 35-46. Preuzeto s: https://hrcak.srce.hr/192227 (Datum pristupa: 18.08.2018.)
Odehnal B. Generalized Conchoids. KoG [Internet]. 09.01.2018. [pristupljeno 18.08.2018.];21(21):35-46. Dostupno na: https://hrcak.srce.hr/192227
B. Odehnal, "Generalized Conchoids", KoG, vol.21, br. 21, str. 35-46, Kolovoz 2018. [Online]. Dostupno na: https://hrcak.srce.hr/192227. [Citirano: 18.08.2018.]
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.
conchoid transformation; line geometry; sphere geometry; cross ratio; regulus; Dupin cyclide; Laguerre transformation; equiform transformation; inversion
Hrčak ID: 192227
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