Pregled bibliografske jedinice broj: 425194
Power of the Point and the Line with respect to the Circle in the Isotropic Plane
Power of the Point and the Line with respect to the Circle in the Isotropic Plane // Conference on Geometry Theory and Applications Book of Abstracts / Bastl, B., Lavička, M. (ur.).
Plzeň, 2009. (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 425194 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Power of the Point and the Line with respect to the Circle in the Isotropic Plane
Autori
Šimić, Marija
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Conference on Geometry Theory and Applications Book of Abstracts
/ Bastl, B., Lavička, M. - Plzeň, 2009
ISBN
978-80-86843-27-8
Skup
Conference on Geometry Theory and Applications
Mjesto i datum
Plzeň, Češka Republika, 29.06.2009. - 02.07.2009
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
isotropic plane; radical center; radical axis; umbilic point; umbilic axis
Sažetak
The power of the point and the line with respect to the circle in the isotropic plane are studied in this presentation. The obtained results are applied in the investigation of properties of the non cyclic quadrangle in the isotropic plane. Hence, the radical axis and the radical center of circles in the isotropic plane are presented. As the principle of duality is preserved in the isotropic plane, notions dual to the radical axis and to the radical center, the umbilic point and the umbilic axis respectively, are introduced. Non cyclic quadrangle is called standard if a special hyperbola with the equation xy = 1 is circumscribed to it. The properties of the standard quadrangle related to the umbilic point and the umbilic axis of the circles are given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
