KoG, Vol. 15. No. 15., 2011.
Stručni rad
Perspective Collineation and Osculating Circle of Conic in PE-plane and I-plane
Ana Sliepčević
; Građevinski fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska
Ivana Božić
; Tehničko veleučilište u Zagrebu, Zagreb, Croatia
Sažetak
All perspective collineations in a real affine plane are classified according to a constant cross-ratio and the position of the center and axis. A special attention will be given to the conditions which basic elements of perspective collineation have to fulfill in order to obtain the touch or osculation or hyperosculation of two conics. On the affine models of an isotropic and pseudo-Euclidean plane the osculating circle of a conic is constructed by using perspective collineations.
Ključne riječi
perspective collineation; homology; elation; constant cross-ratio; conic; osculating circle
Hrčak ID:
77101
URI
Datum izdavanja:
29.12.2011.
Posjeta: 1.541 *