Osculating Circles of Conics in Cayley-Klein Planes (CROSBI ID 159152)
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Podaci o odgovornosti
Weiss, Gunter ; Sliepčević, Ana
engleski
Osculating Circles of Conics in Cayley-Klein Planes
In the Euclidean plane there are several well-known methods of constructing an osculating (Euclidean) circle to a conic. We show that at least one of these methods can be “translated” into a construction scheme of finding the osculating non-Euclidean circle to a given conic in a hyperbolic or elliptic plane. As an example we will deal with the Klein-model of these non-Euclidean planes, as the projective geometric point of view is common to the Euclidean as well as to the non-Euclidean cases.
Cayley-Klein plane; elation; pencil of conics; osculating circle; curvature centre
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Podaci o izdanju
13
2009.
7-12
objavljeno
1331-1611